Scale and Weyl invariance in Einstein-Cartan gravity

Karananas, Georgios K.; Shaposhnikov, Mikhail; Shkerin, Andrey; Zell, Sebastian

doi:10.1103/PhysRevD.104.124014

Title: Scale and Weyl invariance in Einstein-Cartan gravity

Abstract

We show how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance. To this end, we construct a wide class of models with nonpropagaing torsion and a nonminimally coupled scalar field. In phenomenological applications the scalar field is associated with the Higgs boson. For global scale invariance, an additional field—dilaton—is needed to make the theory phenomenologically viable. In the case of the Weyl symmetry, the dilaton is spurious and the theory reduces to a sub-class of one-field models. In both scenarios of scale invariance, we derive an equivalent metric theory and discuss possible implications for phenomenology.

Authors:

; Shaposhnikov, Mikhail;

;

Publication Date:: Fri Dec 03 00:00:00 EST 2021

Research Org.:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Org.:: USDOE; European Research Council (ERC); Swiss National Science Foundation (SNSF)

OSTI Identifier:: 1833873

Alternate Identifier(s):: OSTI ID: 1837537

Grant/Contract Number:: SC0011842; 694896; 200020B_182864

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 12; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Karananas, Georgios K., Shaposhnikov, Mikhail, Shkerin, Andrey, and Zell, Sebastian. Scale and Weyl invariance in Einstein-Cartan gravity.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.104.124014.

Copy to clipboard


                    Karananas, Georgios K., Shaposhnikov, Mikhail, Shkerin, Andrey, & Zell, Sebastian. Scale and Weyl invariance in Einstein-Cartan gravity.  United States.  https://doi.org/10.1103/PhysRevD.104.124014

Copy to clipboard


                    Karananas, Georgios K., Shaposhnikov, Mikhail, Shkerin, Andrey, and Zell, Sebastian. Fri .  
"Scale and Weyl invariance in Einstein-Cartan gravity".  United States.  https://doi.org/10.1103/PhysRevD.104.124014.

Copy to clipboard


                    
@article{osti_1833873,

  title        = {Scale and Weyl invariance in Einstein-Cartan gravity},

  author       = {Karananas, Georgios K. and Shaposhnikov, Mikhail and Shkerin, Andrey and Zell, Sebastian},

  abstractNote = {We show how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance. To this end, we construct a wide class of models with nonpropagaing torsion and a nonminimally coupled scalar field. In phenomenological applications the scalar field is associated with the Higgs boson. For global scale invariance, an additional field—dilaton—is needed to make the theory phenomenologically viable. In the case of the Weyl symmetry, the dilaton is spurious and the theory reduces to a sub-class of one-field models. In both scenarios of scale invariance, we derive an equivalent metric theory and discuss possible implications for phenomenology.},

  doi          = {10.1103/PhysRevD.104.124014},

  journal      = {Physical Review D},

  number       = 12,

  volume       = 104,

  place        = {United States},

  year         = {Fri Dec 03 00:00:00 EST 2021},

  month        = {Fri Dec 03 00:00:00 EST 2021}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.104.124014

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Exploring soft constraints on effective actions
journal, October 2016

Bianchi, Massimo; Guerrieri, Andrea L.; Huang, Yu-tin
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)036

Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
journal, May 1996

Holst, Sören
Physical Review D, Vol. 53, Issue 10
DOI: 10.1103/PhysRevD.53.5966

The Immirzi parameter and fermions with non-minimal coupling
journal, June 2008

Alexandrov, Sergei
Classical and Quantum Gravity, Vol. 25, Issue 14
DOI: 10.1088/0264-9381/25/14/145012

Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation
journal, December 2020

Ghilencea, D. M.
The European Physical Journal C, Vol. 80, Issue 12
DOI: 10.1140/epjc/s10052-020-08722-0

Conformal symmetry and the cosmological constant problem
journal, October 2018

Lucat, Stefano; Prokopec, Tomislav; Świeżewska, Bogumiła
International Journal of Modern Physics D, Vol. 27, Issue 14
DOI: 10.1142/S0218271818470144

Barbero-Immirzi parameter as a scalar field: $K$ -inflation from loop quantum gravity?
journal, September 2008

Taveras, Victor; Yunes, Nicolás
Physical Review D, Vol. 78, Issue 6
DOI: 10.1103/PhysRevD.78.064070

Standard model with spontaneously broken quantum scale invariance
journal, September 2017

Ghilencea, D. M.; Lalak, Z.; Olszewski, P.
Physical Review D, Vol. 96, Issue 5
DOI: 10.1103/PhysRevD.96.055034

A spontaneously broken conformal gauge theory of gravitation
journal, April 1982

Nieh, H. T.
Physics Letters A, Vol. 88, Issue 8
DOI: 10.1016/0375-9601(82)90658-2

Scale-independent inflation and hierarchy generation
journal, December 2016

Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G.
Physics Letters B, Vol. 763
DOI: 10.1016/j.physletb.2016.10.036

Einstein-Cartan Portal to Dark Matter
journal, April 2021

Shaposhnikov, Mikhail; Shkerin, Andrey; Timiryasov, Inar
Physical Review Letters, Vol. 126, Issue 16
DOI: 10.1103/PhysRevLett.126.161301

Vanishing trace anomaly in flat spacetime
journal, October 2018

Lalak, Zygmunt; Olszewski, Paweł
Physical Review D, Vol. 98, Issue 8
DOI: 10.1103/PhysRevD.98.085001

Multi-field conformal cosmological attractors
journal, December 2013

Kallosh, Renata; Linde, Andrei
Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 12
DOI: 10.1088/1475-7516/2013/12/006

New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order
journal, April 2016

Di Vecchia, Paolo; Marotta, Raffaele; Mojaza, Matin
Physical Review D, Vol. 93, Issue 8
DOI: 10.1103/PhysRevD.93.085015

Emergent scale symmetry: Connecting inflation and dark energy
journal, September 2017

Rubio, Javier; Wetterich, Christof
Physical Review D, Vol. 96, Issue 6
DOI: 10.1103/PhysRevD.96.063509

Standard model meets gravity: Electroweak symmetry breaking and inflation
journal, February 2021

Shaposhnikov, Mikhail; Shkerin, Andrey; Zell, Sebastian
Physical Review D, Vol. 103, Issue 3
DOI: 10.1103/PhysRevD.103.033006

Barbero-Immirzi field in canonical formalism of pure gravity
journal, April 2009

Calcagni, Gianluca; Mercuri, Simone
Physical Review D, Vol. 79, Issue 8
DOI: 10.1103/PhysRevD.79.084004

Conformal symmetry: Towards the link between the Fermi and the Planck scales
journal, August 2018

Shaposhnikov, Mikhail; Shkerin, Andrey
Physics Letters B, Vol. 783
DOI: 10.1016/j.physletb.2018.06.068

Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
journal, January 2019

Gorbunov, Dmitry; Tokareva, Anna
Physics Letters B, Vol. 788
DOI: 10.1016/j.physletb.2018.11.015

To positivity and beyond, where Higgs-Dilaton inflation has never gone before
journal, November 2019

Herrero-Valea, Mario; Timiryasov, Inar; Tokareva, Anna
Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 11
DOI: 10.1088/1475-7516/2019/11/042

Parity violation in metric-torsion theories of gravitation
journal, October 1980

Hojman, R.; Mukku, C.; Sayed, W. A.
Physical Review D, Vol. 22, Issue 8
DOI: 10.1103/PhysRevD.22.1915

Induced gravity inflation in the standard model of particle physics
journal, May 1995

Cervantes-Cota, J. L.; Dehnen, H.
Nuclear Physics B, Vol. 442, Issue 1-2
DOI: 10.1016/0550-3213(95)00128-X

Dilaton-assisted generation of the Fermi scale from the Planck scale
journal, June 2019

Shkerin, Andrey
Physical Review D, Vol. 99, Issue 11
DOI: 10.1103/PhysRevD.99.115018

Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential
journal, March 2019

Ghilencea, D. M.
Journal of High Energy Physics, Vol. 2019, Issue 3
DOI: 10.1007/JHEP03(2019)049

Conformal GUT inflation, proton lifetime and non-thermal leptogenesis
journal, November 2019

Kumar, K. Sravan; Moniz, Paulo Vargas
The European Physical Journal C, Vol. 79, Issue 11
DOI: 10.1140/epjc/s10052-019-7449-1

Quantized Dirac field in curved Riemann-Cartan background. I. Symmetry properties, Green's function
journal, February 1982

Nieh, H. T.; Yan, M. L.
Annals of Physics, Vol. 138, Issue 2
DOI: 10.1016/0003-4916(82)90186-5

Inertial spontaneous symmetry breaking and quantum scale invariance
journal, December 2018

Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G.
Physical Review D, Vol. 98, Issue 11
DOI: 10.1103/PhysRevD.98.116012

Higgs-dilaton cosmology: An effective field theory approach
journal, May 2013

Bezrukov, Fedor; Karananas, Georgios K.; Rubio, Javier
Physical Review D, Vol. 87, Issue 9
DOI: 10.1103/PhysRevD.87.096001

Weyl and Ricci gauging from the coset construction
journal, March 2016

Karananas, Georgios K.; Monin, Alexander
Physical Review D, Vol. 93, Issue 6
DOI: 10.1103/PhysRevD.93.064013

Conformal invariance and space-time torsion
journal, June 1982

Obukhov, Yu. N.
Physics Letters A, Vol. 90, Issue 1-2
DOI: 10.1016/0375-9601(82)90037-8

Higgs inflation with the Holst and the Nieh–Yan term
journal, April 2021

Långvik, Miklos; Ojanperä, Juha-Matti; Raatikainen, Sami
Physical Review D, Vol. 103, Issue 8
DOI: 10.1103/PhysRevD.103.083514

Electroweak vacuum stability in the Higgs-Dilaton theory
journal, May 2017

Shkerin, A.
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/JHEP05(2017)155

Inflation as a spontaneous symmetry breaking of Weyl symmetry
journal, January 2019

Barnaveli, Alexander; Lucat, Stefano; Prokopec, Tomislav
Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 01
DOI: 10.1088/1475-7516/2019/01/022

Universality class in conformal inflation
journal, July 2013

Kallosh, Renata; Linde, Andrei
Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 07
DOI: 10.1088/1475-7516/2013/07/002

The cosmological constant and general covariance
journal, May 1989

Henneaux, Marc; Teitelboim, Claudio
Physics Letters B, Vol. 222, Issue 2
DOI: 10.1016/0370-2693(89)91251-3

Quantum scale invariance, cosmological constant and hierarchy problem
journal, January 2009

Shaposhnikov, Mikhail; Zenhäusern, Daniel
Physics Letters B, Vol. 671, Issue 1
DOI: 10.1016/j.physletb.2008.11.041

Higgs inflation in Einstein-Cartan gravity
journal, February 2021

Shaposhnikov, Mikhail; Shkerin, Andrey; Timiryasov, Inar
Journal of Cosmology and Astroparticle Physics, Vol. 2021, Issue 02
DOI: 10.1088/1475-7516/2021/02/008

The exchange of massless spin-two particles
journal, November 1982

Van Der Bij, J. J.; Van Dam, H.; Ng, Yee Jack
Physica A: Statistical Mechanics and its Applications, Vol. 116, Issue 1-2
DOI: 10.1016/0378-4371(82)90247-3

Weyl current, scale-invariant inflation, and Planck scale generation
journal, February 2017

Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G.
Physical Review D, Vol. 95, Issue 4
DOI: 10.1103/PhysRevD.95.043507

Scale-invariant alternatives to general relativity. III. The inflation-dark energy connection
journal, March 2019

Casas, Santiago; Karananas, Georgios K.; Pauly, Martin
Physical Review D, Vol. 99, Issue 6
DOI: 10.1103/PhysRevD.99.063512

On the exactness of soft theorems
journal, December 2017

Guerrieri, Andrea L.; Huang, Yu-tin; Li, Zhizhong
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/JHEP12(2017)052

Scale-invariant alternatives to general relativity. II. Dilaton properties
journal, April 2016

Karananas, Georgios K.; Shaposhnikov, Mikhail
Physical Review D, Vol. 93, Issue 8
DOI: 10.1103/PhysRevD.93.084052

Weyl gauge theories of gravity do not predict a second clock effect
journal, October 2020

Hobson, M. P.; Lasenby, A. N.
Physical Review D, Vol. 102, Issue 8
DOI: 10.1103/PhysRevD.102.084040

Quantum scale invariance on the lattice
journal, May 2009

Shaposhnikov, Mikhail; Tkachev, Igor
Physics Letters B, Vol. 675, Issue 3-4
DOI: 10.1016/j.physletb.2009.04.040

Scale invariance, unimodular gravity and dark energy
journal, January 2009

Shaposhnikov, Mikhail; Zenhäusern, Daniel
Physics Letters B, Vol. 671, Issue 1
DOI: 10.1016/j.physletb.2008.11.054

On the geometrical interpretation of scale-invariant models of inflation
journal, October 2016

Karananas, Georgios K.; Rubio, Javier
Physics Letters B, Vol. 761
DOI: 10.1016/j.physletb.2016.08.037

Higgs-Dilaton cosmology: Universality versus criticality
journal, July 2014

Rubio, Javier; Shaposhnikov, Mikhail
Physical Review D, Vol. 90, Issue 2
DOI: 10.1103/PhysRevD.90.027307

Weyl gauging and conformal invariance
journal, June 1997

Iorio, A.; O'Raifeartaigh, L.; Sachs, I.
Nuclear Physics B, Vol. 495, Issue 1-2
DOI: 10.1016/S0550-3213(97)00190-9

Planck and electroweak scales emerging from conformal gravity
journal, October 2018

Oda, Ichiro
The European Physical Journal C, Vol. 78, Issue 10
DOI: 10.1140/epjc/s10052-018-6289-8

Conformal invariance in quantum gravity
journal, December 1976

Englert, F.; Truffin, C.; Gastmans, R.
Nuclear Physics B, Vol. 117, Issue 2
DOI: 10.1016/0550-3213(76)90406-5

Fifth forces, Higgs portals and broken scale invariance
journal, November 2018

Burrage, Clare; Copeland, Edmund J.; Millington, Peter
Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 11
DOI: 10.1088/1475-7516/2018/11/036

Unimodular theory of canonical quantum gravity
journal, August 1989

Unruh, W. G.
Physical Review D, Vol. 40, Issue 4
DOI: 10.1103/PhysRevD.40.1048

Higgs mass naturalness and scale invariance in the ultraviolet
journal, January 2014

Tavares, Gustavo Marques; Schmaltz, Martin; Skiba, Witold
Physical Review D, Vol. 89, Issue 1
DOI: 10.1103/PhysRevD.89.015009

No fifth force in a scale invariant universe
journal, March 2017

Ferreira, Pedro G.; Hill, Christopher T.; Ross, Graham G.
Physical Review D, Vol. 95, Issue 6
DOI: 10.1103/PhysRevD.95.064038

Perturbative conformal symmetry and dilaton
journal, August 2015

Gretsch, Frederic; Monin, Alexander
Physical Review D, Vol. 92, Issue 4
DOI: 10.1103/PhysRevD.92.045036

Weyl scaling invariant R2 gravity for inflation and dark matter
journal, October 2020

Tang, Yong; Wu, Yue-Liang
Physics Letters B, Vol. 809
DOI: 10.1016/j.physletb.2020.135716

Spontaneously broken scale invariance and minimal fields of canonical dimensionality
journal, September 2013

Monin, Alexander; Shaposhnikov, Mikhail
Physical Review D, Vol. 88, Issue 6
DOI: 10.1103/PhysRevD.88.067701

Higgs-dilaton cosmology: From the early to the late Universe
journal, December 2011

García-Bellido, Juan; Rubio, Javier; Shaposhnikov, Mikhail
Physical Review D, Vol. 84, Issue 12
DOI: 10.1103/PhysRevD.84.123504

Conformal symmetry and the Standard Model
journal, May 2007

Meissner, Krzysztof A.; Nicolai, Hermann
Physics Letters B, Vol. 648, Issue 4
DOI: 10.1016/j.physletb.2007.03.023

Physical effects of the Immirzi parameter in loop quantum gravity
journal, February 2006

Perez, Alejandro; Rovelli, Carlo
Physical Review D, Vol. 73, Issue 4
DOI: 10.1103/PhysRevD.73.044013

Weyl vs. conformal
journal, June 2016

Karananas, Georgios K.; Monin, Alexander
Physics Letters B, Vol. 757
DOI: 10.1016/j.physletb.2016.04.001

The role of conformal symmetry in gravity and the standard model
journal, November 2016

Lucat, Stefano; Prokopec, Tomislav
Classical and Quantum Gravity, Vol. 33, Issue 24
DOI: 10.1088/0264-9381/33/24/245002

Remarks on the Barbero-Immirzi parameter as a field
journal, May 2009

Torres-Gomez, Alexander; Krasnov, Kirill
Physical Review D, Vol. 79, Issue 10
DOI: 10.1103/PhysRevD.79.104014

Quasi-super-renormalizable models
journal, January 1985

Einhorn, Martin B.; Goldberg, Gary; Rabinovici, Eliezer
Nuclear Physics B, Vol. 256
DOI: 10.1016/0550-3213(85)90405-5

Quantum gravity, torsion, parity violation, and all that
journal, November 2005

Freidel, Laurent; Minic, Djordje; Takeuchi, Tatsu
Physical Review D, Vol. 72, Issue 10
DOI: 10.1103/PhysRevD.72.104002

Peccei-Quinn Mechanism in Gravity and the Nature of the Barbero-Immirzi Parameter
journal, August 2009

Mercuri, Simone
Physical Review Letters, Vol. 103, Issue 8
DOI: 10.1103/PhysRevLett.103.081302

Gravitational contact interactions and the physical equivalence of Weyl transformations in effective field theory
journal, December 2020

Hill, Christopher T.; Ross, Graham G.
Physical Review D, Vol. 102, Issue 12
DOI: 10.1103/PhysRevD.102.125014

Higgs-dilaton cosmology: An inflation–dark-energy connection and forecasts for future galaxy surveys
journal, February 2018

Casas, Santiago; Pauly, Martin; Rubio, Javier
Physical Review D, Vol. 97, Issue 4
DOI: 10.1103/PhysRevD.97.043520

Stueckelberg breaking of Weyl conformal geometry and applications to gravity
journal, February 2020

Ghilencea, D. M.
Physical Review D, Vol. 101, Issue 4
DOI: 10.1103/PhysRevD.101.045010

Scale symmetry, the Higgs and the Cosmos
conference, August 2020

Rubio, Javier
Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)
DOI: 10.22323/1.376.0074

Gauging nonrelativistic field theories using the coset construction
journal, March 2016

Karananas, Georgios K.; Monin, Alexander
Physical Review D, Vol. 93, Issue 6
DOI: 10.1103/PhysRevD.93.064069

Critical surfaces and flat directions in a finite theory
journal, July 1987

Rabinovici, Eliezer; Saering, Bernd; Bardeen, William A.
Physical Review D, Vol. 36, Issue 2
DOI: 10.1103/PhysRevD.36.562

Higgs–Dilaton cosmology: Are there extra relativistic species?
journal, December 2012

García-Bellido, Juan; Rubio, Javier; Shaposhnikov, Mikhail
Physics Letters B, Vol. 718, Issue 2
DOI: 10.1016/j.physletb.2012.10.075

Weyl scalings and spinor matter interactions in scalar-tensor theories of gravitation
journal, April 1982

Dereli, T.; Tucker, R. W.
Physics Letters B, Vol. 110, Issue 3-4
DOI: 10.1016/0370-2693(82)91237-0

Cosmology with a spin
journal, March 2013

Magueijo, João; Zlosnik, T. G.; Kibble, T. W. B.
Physical Review D, Vol. 87, Issue 6
DOI: 10.1103/PhysRevD.87.063504

Dark matter from a classically scale-invariant $S U (3)_{X}$
journal, September 2016

Karam, Alexandros; Tamvakis, Kyriakos
Physical Review D, Vol. 94, Issue 5
DOI: 10.1103/PhysRevD.94.055004

Real and complex connections for canonical gravity
journal, October 1997

Immirzi, Giorgio
Classical and Quantum Gravity, Vol. 14, Issue 10
DOI: 10.1088/0264-9381/14/10/002

Ghost- and tachyon-free Weyl gauge theories: A systematic approach
journal, July 2021

Lin, Yun-Cherng; Hobson, Michael P.; Lasenby, Anthony N.
Physical Review D, Vol. 104, Issue 2
DOI: 10.1103/PhysRevD.104.024034

Low-energy general relativity with torsion: A systematic derivative expansion
journal, December 2011

Diakonov, Dmitri; Tumanov, Alexander G.; Vladimirov, Alexey A.
Physical Review D, Vol. 84, Issue 12
DOI: 10.1103/PhysRevD.84.124042

Local conformal symmetry in physics and cosmology
journal, February 2014

Bars, Itzhak; Steinhardt, Paul; Turok, Neil
Physical Review D, Vol. 89, Issue 4
DOI: 10.1103/PhysRevD.89.043515

Inflation in a scale-invariant universe
journal, June 2018

Ferreira, Pedro G.; Hill, Christopher T.; Noller, Johannes
Physical Review D, Vol. 97, Issue 12
DOI: 10.1103/PhysRevD.97.123516

Gauging scale symmetry and inflation: Weyl versus Palatini gravity
journal, June 2021

Ghilencea, D. M.
The European Physical Journal C, Vol. 81, Issue 6
DOI: 10.1140/epjc/s10052-021-09226-1

Inflation and dark matter in the Higgs portal of classically scale invariant Standard Model
journal, November 2013

Khoze, Valentin V.
Journal of High Energy Physics, Vol. 2013, Issue 11
DOI: 10.1007/JHEP11(2013)215

Solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
journal, February 2008

Foot, Robert; Kobakhidze, Archil; McDonald, Kristian L.
Physical Review D, Vol. 77, Issue 3
DOI: 10.1103/PhysRevD.77.035006

Cosmological constraints on Higgs-dilaton inflation
journal, September 2016

Trashorras, Manuel; Nesseris, Savvas; García-Bellido, Juan
Physical Review D, Vol. 94, Issue 6
DOI: 10.1103/PhysRevD.94.063511

Fine-tuning problem and the renormalization group
journal, June 1984

Wetterich, C.
Physics Letters B, Vol. 140, Issue 3-4
DOI: 10.1016/0370-2693(84)90923-7

Quantum gravity and Regge calculus
journal, August 1997

Immirzi, G.
Nuclear Physics B - Proceedings Supplements, Vol. 57, Issue 1-3
DOI: 10.1016/S0920-5632(97)00354-X

Weyl gauge symmetry and its spontaneous breaking in the standard model and inflation
journal, June 2019

Ghilencea, D. M.; Lee, Hyun Min
Physical Review D, Vol. 99, Issue 11
DOI: 10.1103/PhysRevD.99.115007

Cosmology and the fate of dilatation symmetry
journal, June 1988

Wetterich, C.
Nuclear Physics B, Vol. 302, Issue 4
DOI: 10.1016/0550-3213(88)90193-9

CFT data and spontaneously broken conformal invariance
journal, February 2018

Karananas, Georgios K.; Shaposhnikov, Mikhail
Physical Review D, Vol. 97, Issue 4
DOI: 10.1103/PhysRevD.97.045009

Matter matters in Einstein-Cartan gravity
journal, September 2021

Karananas, Georgios K.; Shaposhnikov, Mikhail; Shkerin, Andrey
Physical Review D, Vol. 104, Issue 6
DOI: 10.1103/PhysRevD.104.064036

Scale Transformations in Metric-Affine Geometry
journal, March 2019

Iosifidis, Damianos; Koivisto, Tomi
Universe, Vol. 5, Issue 3
DOI: 10.3390/universe5030082

Spontaneous conformal symmetry breaking in fishnet CFT
journal, December 2020

Karananas, Georgios K.; Kazakov, Vladimir; Shaposhnikov, Mikhail
Physics Letters B, Vol. 811
DOI: 10.1016/j.physletb.2020.135922

Gauge theory of volume preserving diffeomorphisms
journal, August 1990

Kreuzer, M.
Classical and Quantum Gravity, Vol. 7, Issue 8
DOI: 10.1088/0264-9381/7/8/010

Planck, LHC, and $α$ -attractors
journal, April 2015

Kallosh, Renata; Linde, Andrei
Physical Review D, Vol. 91, Issue 8
DOI: 10.1103/PhysRevD.91.083528

Inflation from Broken Scale Invariance
journal, October 2014

Csáki, Csaba; Kaloper, Nemanja; Serra, Javi
Physical Review Letters, Vol. 113, Issue 16
DOI: 10.1103/PhysRevLett.113.161302

Spontaneously broken conformal symmetry: dealing with the trace anomaly
journal, October 2013

Armillis, R.; Monin, A.; Shaposhnikov, M.
Journal of High Energy Physics, Vol. 2013, Issue 10
DOI: 10.1007/JHEP10(2013)030

A minimal scale invariant axion solution to the strong CP-problem
journal, May 2018

Tokareva, Anna
The European Physical Journal C, Vol. 78, Issue 5
DOI: 10.1140/epjc/s10052-018-5883-0

Breaking of scale invariance in π6 theory: Tricriticality and critical end-points
journal, January 1985

Amit, Daniel J.; Rabinovici, Eliezer
Nuclear Physics B, Vol. 257
DOI: 10.1016/0550-3213(85)90351-7

Fake conformal symmetry in conformal cosmological models
journal, March 2015

Jackiw, R.; Pi, So-Young
Physical Review D, Vol. 91, Issue 6
DOI: 10.1103/PhysRevD.91.067501

The Standard Model Higgs boson as the inflaton
journal, January 2008

Bezrukov, Fedor; Shaposhnikov, Mikhail
Physics Letters B, Vol. 659, Issue 3
DOI: 10.1016/j.physletb.2007.11.072

Higgs mechanism without Higgs particle
journal, July 1993

Dehnen, H.; Frommert, H.
International Journal of Theoretical Physics, Vol. 32, Issue 7
DOI: 10.1007/BF00671794

Gauge coupling unification without leptoquarks
journal, August 2017

Karananas, Georgios K.; Shaposhnikov, Mikhail
Physics Letters B, Vol. 771
DOI: 10.1016/j.physletb.2017.05.065

Dark matter and neutrino masses from a scale-invariant multi-Higgs portal
journal, October 2015

Karam, Alexandros; Tamvakis, Kyriakos
Physical Review D, Vol. 92, Issue 7
DOI: 10.1103/PhysRevD.92.075010

Cosmologies with variable Newton's “constant”
journal, June 1988

Wetterich, C.
Nuclear Physics B, Vol. 302, Issue 4
DOI: 10.1016/0550-3213(88)90192-7

A new type of isotropic cosmological models without singularity
journal, March 1980

Starobinsky, A. A.
Physics Letters B, Vol. 91, Issue 1
DOI: 10.1016/0370-2693(80)90670-X

Consistent conformal extensions of the standard model
journal, January 2019

Loebbert, Florian; Miczajka, Julian; Plefka, Jan
Physical Review D, Vol. 99, Issue 1
DOI: 10.1103/PhysRevD.99.015026

One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
journal, December 2020

Karananas, Georgios K.; Michel, Marco; Rubio, Javier
Physics Letters B, Vol. 811
DOI: 10.1016/j.physletb.2020.135876

Gravity with propagating pseudoscalar torsion
journal, October 1980

Nelson, Philip C.
Physics Letters A, Vol. 79, Issue 4
DOI: 10.1016/0375-9601(80)90348-5

Einstein-Cartan gravity, matter, and scale-invariant generalization
journal, October 2020

Shaposhnikov, M.; Shkerin, A.; Timiryasov, I.
Journal of High Energy Physics, Vol. 2020, Issue 10
DOI: 10.1007/JHEP10(2020)177

Scale-invariant alternatives to general relativity
journal, August 2011

Blas, Diego; Shaposhnikov, Mikhail; Zenhäusern, Daniel
Physical Review D, Vol. 84, Issue 4
DOI: 10.1103/PhysRevD.84.044001

Manifestly scale-invariant regularization and quantum effective operators
journal, May 2016

Ghilencea, D. M.
Physical Review D, Vol. 93, Issue 10
DOI: 10.1103/PhysRevD.93.105006

Double-soft behavior of the dilaton of spontaneously broken conformal invariance
journal, September 2017

Di Vecchia, Paolo; Marotta, Raffaele; Mojaza, Matin
Journal of High Energy Physics, Vol. 2017, Issue 9
DOI: 10.1007/JHEP09(2017)001

Similar Records in DOE PAGES and OSTI.GOV collections:

Matter matters in Einstein-Cartan gravity

Journal Article Karananas, Georgios K. ; Shaposhnikov, Mikhail ; Shkerin, Andrey ; ... - Physical Review D

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton. Eliminating non-propagating degrees of freedom, we derive an equivalent theory in the metric formulation of gravity. It features contact interactions of a certain form between and among the matter and gauge currents. We also discuss briefly the inclusion of curvature-squared terms.
https://doi.org/10.1103/PhysRevD.104.064036
Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity

Journal Article Haghani, Zahra ; Sepangi, Hamid Reza ; Shahidi, Shahab ; ... - Journal of Cosmology and Astroparticle Physics

We consider a gravitational model in a Weyl-Cartan space-time in which the Weitzenböck condition of the vanishing of the sum of the curvature and torsion scalar is imposed. In contrast to the standard teleparallel theories, our model is formulated in a four-dimensional curved spacetime. The properties of the gravitational field are then described by the torsion tensor and Weyl vector fields. A kinetic term for the torsion is also included in the gravitational action. The field equations of the model are obtained from a Hilbert-Einstein type variational principle, and they lead to a complete description of the gravitational field inmore »« less
https://doi.org/10.1088/1475-7516/2012/10/061
Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance

Journal Article Edery, Adriel ; Nakayama, Yu - Modern Physics Letters A

It has previously been pointed out that dimensionless actions in four-dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed restricted Weyl invariance. We show that starting with a restricted Weyl invariant action that includes a Higgs sector with no explicit mass, one can generate the Einstein–Hilbert action with cosmological constant and a Higgs mass. Furthermore, the model contains an extra massless scalar field which couples to the Higgs field (and gravity). If the coupling of this extra scalar field to the Higgs field is negligibly small, thismore »« less
Cited by 9
https://doi.org/10.1142/S0217732315501527

Full Text Available
Weyl current, scale-invariant inflation, and Planck scale generation

Journal Article Ferreira, Pedro G. ; Hill, Christopher T. ; Ross, Graham G. - Physical Review D

Scalar fields,more »« less
Cited by 60
https://doi.org/10.1103/PhysRevD.95.043507

Full Text Available
Einstein-cartan gravity with torsion field serving as an origin for the cosmological constant or dark energy density

Journal Article Ivanov, A. N. ; Wellenzohn, M., E-mail: ivanov@kph.tuwien.ac.at, E-mail: max.wellenzohn@gmail.com - Astrophysical Journal

We analyse the Einstein–Cartan gravity in its standard form R=R+K{sup 2}, where R and R are the Ricci scalar curvatures in the Einstein–Cartan and Einstein gravity, respectively, and K{sup 2} is the quadratic contribution of torsion in terms of the contorsion tensor K. We treat torsion as an external (or background) field and show that its contribution to the Einstein equations can be interpreted in terms of the torsion energy–momentum tensor, local conservation of which in a curved spacetime with an arbitrary metric or an arbitrary gravitational field demands a proportionality of the torsion energy–momentum tensor to a metric tensor, a covariantmore »« less
https://doi.org/10.3847/0004-637X/829/1/47

Similar Records

Title: Scale and Weyl invariance in Einstein-Cartan gravity

Abstract

Citation Formats

Exploring soft constraints on effective actions journal, October 2016

Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action journal, May 1996

The Immirzi parameter and fermions with non-minimal coupling journal, June 2008

Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation journal, December 2020

Conformal symmetry and the cosmological constant problem journal, October 2018

Barbero-Immirzi parameter as a scalar field: K -inflation from loop quantum gravity? journal, September 2008

Standard model with spontaneously broken quantum scale invariance journal, September 2017

A spontaneously broken conformal gauge theory of gravitation journal, April 1982

Scale-independent inflation and hierarchy generation journal, December 2016

Einstein-Cartan Portal to Dark Matter journal, April 2021

Vanishing trace anomaly in flat spacetime journal, October 2018

Multi-field conformal cosmological attractors journal, December 2013

New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order journal, April 2016

Emergent scale symmetry: Connecting inflation and dark energy journal, September 2017

Standard model meets gravity: Electroweak symmetry breaking and inflation journal, February 2021

Barbero-Immirzi field in canonical formalism of pure gravity journal, April 2009

Conformal symmetry: Towards the link between the Fermi and the Planck scales journal, August 2018

Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations journal, January 2019

To positivity and beyond, where Higgs-Dilaton inflation has never gone before journal, November 2019

Parity violation in metric-torsion theories of gravitation journal, October 1980

Induced gravity inflation in the standard model of particle physics journal, May 1995

Dilaton-assisted generation of the Fermi scale from the Planck scale journal, June 2019

Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential journal, March 2019

Conformal GUT inflation, proton lifetime and non-thermal leptogenesis journal, November 2019

Quantized Dirac field in curved Riemann-Cartan background. I. Symmetry properties, Green's function journal, February 1982

Inertial spontaneous symmetry breaking and quantum scale invariance journal, December 2018

Higgs-dilaton cosmology: An effective field theory approach journal, May 2013

Weyl and Ricci gauging from the coset construction journal, March 2016

Conformal invariance and space-time torsion journal, June 1982

Higgs inflation with the Holst and the Nieh–Yan term journal, April 2021

Electroweak vacuum stability in the Higgs-Dilaton theory journal, May 2017

Inflation as a spontaneous symmetry breaking of Weyl symmetry journal, January 2019

Universality class in conformal inflation journal, July 2013

The cosmological constant and general covariance journal, May 1989

Quantum scale invariance, cosmological constant and hierarchy problem journal, January 2009

Higgs inflation in Einstein-Cartan gravity journal, February 2021

The exchange of massless spin-two particles journal, November 1982

Weyl current, scale-invariant inflation, and Planck scale generation journal, February 2017

Scale-invariant alternatives to general relativity. III. The inflation-dark energy connection journal, March 2019

On the exactness of soft theorems journal, December 2017

Scale-invariant alternatives to general relativity. II. Dilaton properties journal, April 2016

Weyl gauge theories of gravity do not predict a second clock effect journal, October 2020

Quantum scale invariance on the lattice journal, May 2009

Scale invariance, unimodular gravity and dark energy journal, January 2009

On the geometrical interpretation of scale-invariant models of inflation journal, October 2016

Higgs-Dilaton cosmology: Universality versus criticality journal, July 2014

Weyl gauging and conformal invariance journal, June 1997

Planck and electroweak scales emerging from conformal gravity journal, October 2018

Conformal invariance in quantum gravity journal, December 1976

Fifth forces, Higgs portals and broken scale invariance journal, November 2018

Unimodular theory of canonical quantum gravity journal, August 1989

Higgs mass naturalness and scale invariance in the ultraviolet journal, January 2014

No fifth force in a scale invariant universe journal, March 2017

Perturbative conformal symmetry and dilaton journal, August 2015

Weyl scaling invariant R2 gravity for inflation and dark matter journal, October 2020

Spontaneously broken scale invariance and minimal fields of canonical dimensionality journal, September 2013

Higgs-dilaton cosmology: From the early to the late Universe journal, December 2011

Conformal symmetry and the Standard Model journal, May 2007

Physical effects of the Immirzi parameter in loop quantum gravity journal, February 2006

Weyl vs. conformal journal, June 2016

The role of conformal symmetry in gravity and the standard model journal, November 2016

Remarks on the Barbero-Immirzi parameter as a field journal, May 2009

Quasi-super-renormalizable models journal, January 1985

Quantum gravity, torsion, parity violation, and all that journal, November 2005

Peccei-Quinn Mechanism in Gravity and the Nature of the Barbero-Immirzi Parameter journal, August 2009

Gravitational contact interactions and the physical equivalence of Weyl transformations in effective field theory journal, December 2020

Higgs-dilaton cosmology: An inflation–dark-energy connection and forecasts for future galaxy surveys journal, February 2018

Stueckelberg breaking of Weyl conformal geometry and applications to gravity journal, February 2020

Scale symmetry, the Higgs and the Cosmos conference, August 2020

Gauging nonrelativistic field theories using the coset construction journal, March 2016

Critical surfaces and flat directions in a finite theory journal, July 1987

Higgs–Dilaton cosmology: Are there extra relativistic species? journal, December 2012

Weyl scalings and spinor matter interactions in scalar-tensor theories of gravitation journal, April 1982

Cosmology with a spin journal, March 2013

Dark matter from a classically scale-invariant S U ( 3 ) X journal, September 2016

Real and complex connections for canonical gravity journal, October 1997

Ghost- and tachyon-free Weyl gauge theories: A systematic approach journal, July 2021

Exploring soft constraints on effective actions
journal, October 2016

Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
journal, May 1996

The Immirzi parameter and fermions with non-minimal coupling
journal, June 2008

Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation
journal, December 2020

Conformal symmetry and the cosmological constant problem
journal, October 2018

Barbero-Immirzi parameter as a scalar field: $K$ -inflation from loop quantum gravity?
journal, September 2008

Standard model with spontaneously broken quantum scale invariance
journal, September 2017

A spontaneously broken conformal gauge theory of gravitation
journal, April 1982

Scale-independent inflation and hierarchy generation
journal, December 2016

Einstein-Cartan Portal to Dark Matter
journal, April 2021

Vanishing trace anomaly in flat spacetime
journal, October 2018

Multi-field conformal cosmological attractors
journal, December 2013

New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order
journal, April 2016

Emergent scale symmetry: Connecting inflation and dark energy
journal, September 2017

Standard model meets gravity: Electroweak symmetry breaking and inflation
journal, February 2021

Barbero-Immirzi field in canonical formalism of pure gravity
journal, April 2009

Conformal symmetry: Towards the link between the Fermi and the Planck scales
journal, August 2018

Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
journal, January 2019

To positivity and beyond, where Higgs-Dilaton inflation has never gone before
journal, November 2019

Parity violation in metric-torsion theories of gravitation
journal, October 1980

Induced gravity inflation in the standard model of particle physics
journal, May 1995

Dilaton-assisted generation of the Fermi scale from the Planck scale
journal, June 2019

Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential
journal, March 2019

Conformal GUT inflation, proton lifetime and non-thermal leptogenesis
journal, November 2019

Quantized Dirac field in curved Riemann-Cartan background. I. Symmetry properties, Green's function
journal, February 1982

Inertial spontaneous symmetry breaking and quantum scale invariance
journal, December 2018

Higgs-dilaton cosmology: An effective field theory approach
journal, May 2013

Weyl and Ricci gauging from the coset construction
journal, March 2016

Conformal invariance and space-time torsion
journal, June 1982

Higgs inflation with the Holst and the Nieh–Yan term
journal, April 2021

Electroweak vacuum stability in the Higgs-Dilaton theory
journal, May 2017

Inflation as a spontaneous symmetry breaking of Weyl symmetry
journal, January 2019

Universality class in conformal inflation
journal, July 2013

The cosmological constant and general covariance
journal, May 1989

Quantum scale invariance, cosmological constant and hierarchy problem
journal, January 2009

Higgs inflation in Einstein-Cartan gravity
journal, February 2021

The exchange of massless spin-two particles
journal, November 1982

Weyl current, scale-invariant inflation, and Planck scale generation
journal, February 2017

Scale-invariant alternatives to general relativity. III. The inflation-dark energy connection
journal, March 2019

On the exactness of soft theorems
journal, December 2017

Scale-invariant alternatives to general relativity. II. Dilaton properties
journal, April 2016

Weyl gauge theories of gravity do not predict a second clock effect
journal, October 2020

Quantum scale invariance on the lattice
journal, May 2009

Scale invariance, unimodular gravity and dark energy
journal, January 2009

On the geometrical interpretation of scale-invariant models of inflation
journal, October 2016

Higgs-Dilaton cosmology: Universality versus criticality
journal, July 2014

Weyl gauging and conformal invariance
journal, June 1997

Planck and electroweak scales emerging from conformal gravity
journal, October 2018

Conformal invariance in quantum gravity
journal, December 1976

Fifth forces, Higgs portals and broken scale invariance
journal, November 2018

Unimodular theory of canonical quantum gravity
journal, August 1989

Higgs mass naturalness and scale invariance in the ultraviolet
journal, January 2014

No fifth force in a scale invariant universe
journal, March 2017

Perturbative conformal symmetry and dilaton
journal, August 2015

Weyl scaling invariant R2 gravity for inflation and dark matter
journal, October 2020

Spontaneously broken scale invariance and minimal fields of canonical dimensionality
journal, September 2013

Higgs-dilaton cosmology: From the early to the late Universe
journal, December 2011

Conformal symmetry and the Standard Model
journal, May 2007

Physical effects of the Immirzi parameter in loop quantum gravity
journal, February 2006

Weyl vs. conformal
journal, June 2016

The role of conformal symmetry in gravity and the standard model
journal, November 2016

Remarks on the Barbero-Immirzi parameter as a field
journal, May 2009

Quasi-super-renormalizable models
journal, January 1985

Quantum gravity, torsion, parity violation, and all that
journal, November 2005

Peccei-Quinn Mechanism in Gravity and the Nature of the Barbero-Immirzi Parameter
journal, August 2009

Gravitational contact interactions and the physical equivalence of Weyl transformations in effective field theory
journal, December 2020

Higgs-dilaton cosmology: An inflation–dark-energy connection and forecasts for future galaxy surveys
journal, February 2018

Stueckelberg breaking of Weyl conformal geometry and applications to gravity
journal, February 2020

Scale symmetry, the Higgs and the Cosmos
conference, August 2020

Gauging nonrelativistic field theories using the coset construction
journal, March 2016

Critical surfaces and flat directions in a finite theory
journal, July 1987

Higgs–Dilaton cosmology: Are there extra relativistic species?
journal, December 2012

Weyl scalings and spinor matter interactions in scalar-tensor theories of gravitation
journal, April 1982

Cosmology with a spin
journal, March 2013

Dark matter from a classically scale-invariant $S U (3)_{X}$
journal, September 2016

Real and complex connections for canonical gravity
journal, October 1997

Ghost- and tachyon-free Weyl gauge theories: A systematic approach
journal, July 2021

Low-energy general relativity with torsion: A systematic derivative expansion
journal, December 2011

Local conformal symmetry in physics and cosmology
journal, February 2014

Inflation in a scale-invariant universe
journal, June 2018