Riding on irrelevant operators
Abstract
We investigate the stability of a class of derivative theories known as P(X) and Galileons against corrections generated by quantum effects. We use an exact renormalisation group approach to argue that these theories are stable under quantum corrections at all loops in regions where the kinetic term is large compared to the strong coupling scale. This is the regime of interest for screening or Vainshtein mechanisms, and in inflationary models that rely on large kinetic terms. Next, we clarify the role played by the symmetries. While symmetries protect the form of the quantum corrections, theories equipped with more symmetries do not necessarily have a broader range of scales for which they are valid. We show this by deriving explicitly the regime of validity of the classical solutions for P(X) theories including Dirac-Born-Infeld (DBI) models, both in generic and for specific background field configurations. Indeed, we find that despite the existence of an additional symmetry, the DBI effective field theory has a regime of validity similar to an arbitrary P(X) theory. We explore the implications of our results for both early and late universe contexts. Conversely, when applied to static and spherical screening mechanisms, we deduce that the regime of validitymore »
- Authors:
- Publication Date:
- OSTI Identifier:
- 22375760
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Cosmology and Astroparticle Physics
- Additional Journal Information:
- Journal Volume: 2014; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BORN-INFELD THEORY; COMPARATIVE EVALUATIONS; CORRECTIONS; FIELD THEORIES; MATHEMATICAL SOLUTIONS; RENORMALIZATION; SPHERICAL CONFIGURATION; STABILITY; STRONG-COUPLING MODEL; SYMMETRY; UNIVERSE
Citation Formats
De Rham, Claudia, and Ribeiro, Raquel H., E-mail: Claudia.deRham@case.edu, E-mail: RaquelHRibeiro@case.edu. Riding on irrelevant operators. United States: N. p., 2014.
Web. doi:10.1088/1475-7516/2014/11/016.
De Rham, Claudia, & Ribeiro, Raquel H., E-mail: Claudia.deRham@case.edu, E-mail: RaquelHRibeiro@case.edu. Riding on irrelevant operators. United States. https://doi.org/10.1088/1475-7516/2014/11/016
De Rham, Claudia, and Ribeiro, Raquel H., E-mail: Claudia.deRham@case.edu, E-mail: RaquelHRibeiro@case.edu. 2014.
"Riding on irrelevant operators". United States. https://doi.org/10.1088/1475-7516/2014/11/016.
@article{osti_22375760,
title = {Riding on irrelevant operators},
author = {De Rham, Claudia and Ribeiro, Raquel H., E-mail: Claudia.deRham@case.edu, E-mail: RaquelHRibeiro@case.edu},
abstractNote = {We investigate the stability of a class of derivative theories known as P(X) and Galileons against corrections generated by quantum effects. We use an exact renormalisation group approach to argue that these theories are stable under quantum corrections at all loops in regions where the kinetic term is large compared to the strong coupling scale. This is the regime of interest for screening or Vainshtein mechanisms, and in inflationary models that rely on large kinetic terms. Next, we clarify the role played by the symmetries. While symmetries protect the form of the quantum corrections, theories equipped with more symmetries do not necessarily have a broader range of scales for which they are valid. We show this by deriving explicitly the regime of validity of the classical solutions for P(X) theories including Dirac-Born-Infeld (DBI) models, both in generic and for specific background field configurations. Indeed, we find that despite the existence of an additional symmetry, the DBI effective field theory has a regime of validity similar to an arbitrary P(X) theory. We explore the implications of our results for both early and late universe contexts. Conversely, when applied to static and spherical screening mechanisms, we deduce that the regime of validity of typical power-law P(X) theories is much larger than that of DBI.},
doi = {10.1088/1475-7516/2014/11/016},
url = {https://www.osti.gov/biblio/22375760},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 11,
volume = 2014,
place = {United States},
year = {Sat Nov 01 00:00:00 EDT 2014},
month = {Sat Nov 01 00:00:00 EDT 2014}
}
Works referenced in this record:
The renormalization of fluctuating branes, the Galileon and asymptotic safety
journal, April 2013
- Codello, A.; Tetradis, N.; Zanusso, O.
- Journal of High Energy Physics, Vol. 2013, Issue 4
On analytic properties of vertex parts in quantum field theory
journal, October 1959
- Landau, L. D.
- Nuclear Physics, Vol. 13, Issue 1
The generalized Schwinger-Dewitt technique in gauge theories and quantum gravity
journal, March 1985
- Barvinsky, A. O.; Vilkovisky, G. A.
- Physics Reports, Vol. 119, Issue 1
To the problem of nonvanishing gravitation mass
journal, May 1972
- Vainshtein, A. I.
- Physics Letters B, Vol. 39, Issue 3
Renormalization and effective lagrangians
journal, January 1984
- Polchinski, Joseph
- Nuclear Physics B, Vol. 231, Issue 2
The problem of nonlocality in string theory
journal, October 1989
- Eliezer, D. A.; Woodard, R. P.
- Nuclear Physics B, Vol. 325, Issue 2
Covariant perturbation theory (II). Second order in the curvature. General algorithms
journal, March 1990
- Barvinsky, A. O.; Vilkovisky, G. A.
- Nuclear Physics B, Vol. 333, Issue 2
Critical exponents from the effective average action
journal, July 1994
- Tetradis, N.; Wetterich, C.
- Nuclear Physics B, Vol. 422, Issue 3
Cosmological tests of gravity
journal, July 2010
- Jain, Bhuvnesh; Khoury, Justin
- Annals of Physics, Vol. 325, Issue 7
Galileons in the sky
journal, July 2012
- de Rham, Claudia
- Comptes Rendus Physique, Vol. 13, Issue 6-7
Selftuned massive spin-2
journal, October 2010
- de Rham, Claudia; Gabadadze, Gregory
- Physics Letters B, Vol. 693, Issue 3
Galileon duality
journal, June 2014
- de Rham, Claudia; Fasiello, Matteo; Tolley, Andrew J.
- Physics Letters B, Vol. 733
Fundamentals of the exact renormalization group
journal, February 2012
- Rosten, Oliver J.
- Physics Reports, Vol. 511, Issue 4
Heat kernel approach in quantum field theory
journal, January 2002
- Avramidi, Ivan G.
- Nuclear Physics B - Proceedings Supplements, Vol. 104, Issue 1-3
Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity
journal, October 2014
- Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C.
- Astronomy & Astrophysics, Vol. 571
Infrared effects in inflationary correlation functions
journal, May 2010
- Seery, David
- Classical and Quantum Gravity, Vol. 27, Issue 12
An introduction to the Vainshtein mechanism
journal, September 2013
- Babichev, Eugeny; Deffayet, Cédric
- Classical and Quantum Gravity, Vol. 30, Issue 18
Mixed Galileons and spherically symmetric solutions
journal, September 2013
- Berezhiani, L.; Chkareuli, G.; de Rham, C.
- Classical and Quantum Gravity, Vol. 30, Issue 18
Strong interactions and stability in the DGP model
journal, September 2003
- Luty, Markus A.; Porrati, Massimo; Rattazzi, Riccardo
- Journal of High Energy Physics, Vol. 2003, Issue 09
Classical and Quantum Consistency of the DGP Model
journal, June 2004
- Nicolis, Alberto; Rattazzi, Riccardo
- Journal of High Energy Physics, Vol. 2004, Issue 06
Inflation from warped space
journal, August 2005
- Chen, Xingang
- Journal of High Energy Physics, Vol. 2005, Issue 08
Enhancing the tensor-to-scalar ratio in simple inflation
journal, February 2006
- Mukhanov, V.; Vikman, A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2006, Issue 02
Stochastic inflation revisited: non-slow-roll statistics and DBI inflation
journal, April 2008
- Tolley, Andrew J.; Wyman, Mark
- Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 04
DBI and the Galileon reunited
journal, May 2010
- Rham, Claudia de; Tolley, Andrew J.
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 05
Galileon inflation
journal, January 2011
- Burrage, Clare; Rham, Claudia de; Seery, David
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 01
DBI potential, DBI inflation action and general Lagrangian relative to phantom, K-essence and quintessence
journal, November 2011
- Zhang, Qing; Huang, Yong-Chang
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 11
Screening fifth forces in k-essence and DBI models
journal, January 2013
- Brax, Philippe; Burrage, Clare; Davis, Anne-Christine
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 01
The δ N formula is the dynamical renormalization group
journal, October 2013
- Dias, Mafalda; Ribeiro, Raquel H.; Seery, David
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
Infinities of Nonlinear and Lagrangian Theories
journal, November 1969
- Delbourgo, R.; Salam, Abdus; Strathdee, J.
- Physical Review, Vol. 187, Issue 5
Uses and abuses of effective Lagrangians
journal, November 1993
- Burgess, C. P.; London, David
- Physical Review D, Vol. 48, Issue 9
Primordial non-Gaussianity and gravitational waves: Observational tests of brane inflation in string theory
journal, February 2007
- Lidsey, James E.; Seery, David
- Physical Review D, Vol. 75, Issue 4
Multifield Dirac-Born-Infeld inflation and non-Gaussianities
journal, January 2008
- Huang, Min-xin; Shiu, Gary; Underwood, Bret
- Physical Review D, Vol. 77, Issue 2
DBI-essence
journal, June 2008
- Martin, Jérôme; Yamaguchi, Masahide
- Physical Review D, Vol. 77, Issue 12
Primordial perturbations and non-Gaussianities in DBI and general multifield inflation
journal, September 2008
- Langlois, David; Renaux-Petel, Sébastien; Steer, Danièle A.
- Physical Review D, Vol. 78, Issue 6
Generalized DBI quintessence
journal, July 2009
- Gumjudpai, Burin; Ward, John
- Physical Review D, Vol. 80, Issue 2
Self-healing of unitarity in effective field theories and the onset of new physics
journal, July 2012
- Aydemir, Ufuk; Anber, Mohamed M.; Donoghue, John F.
- Physical Review D, Vol. 86, Issue 1
Semiclassical calculation of multiparticle scattering cross sections in classicalizing theories
journal, November 2012
- Alberte, Lasma; Bezrukov, Fedor
- Physical Review D, Vol. 86, Issue 10
Scale-dependent bias from multiple-field inflation
journal, May 2013
- Dias, Mafalda; Ribeiro, Raquel H.; Seery, David
- Physical Review D, Vol. 87, Issue 10
Quantum corrections in massive gravity
journal, October 2013
- de Rham, Claudia; Heisenberg, Lavinia; Ribeiro, Raquel H.
- Physical Review D, Vol. 88, Issue 8
Suppression of quantum corrections by classical backgrounds
journal, June 2014
- Brouzakis, Nikolaos; Tetradis, Nikolaos
- Physical Review D, Vol. 89, Issue 12
Quantum corrections in Galileon theories
journal, June 2014
- Brouzakis, N.; Codello, A.; Tetradis, N.
- Physical Review D, Vol. 89, Issue 12
Primordial Fluctuations and Non-Gaussianities in Multifield Dirac-Born-Infeld Inflation
journal, August 2008
- Langlois, David; Renaux-Petel, Sébastien; Steer, Danièle A.
- Physical Review Letters, Vol. 101, Issue 6
Factorization Of Hard Processes In QCD
book, July 1989
- Mueller, A. H.; Collins, John C.; Soper, Davison E.
- Perturbative QCD
k-MOUFLAGE GRAVITY
journal, December 2009
- Babichev, E.; Deffayet, C.; Ziour, R.
- International Journal of Modern Physics D, Vol. 18, Issue 14
Super-Hubble de Sitter Fluctuations and the Dynamical RG
text, January 2009
- Burgess, C. P.; LeBlond, L.; Holman, Richard
- Carnegie Mellon University
Suppressing quantum fluctuations in classicalization
journal, January 2013
- Vikman, Alexander
- EPL (Europhysics Letters), Vol. 101, Issue 3
Massive Gravity
journal, August 2014
- de Rham, Claudia
- Living Reviews in Relativity, Vol. 17, Issue 1
On Analytic Properties of Vertex Parts in Quantum Field Theory
book, January 1965
- ,
- Collected Papers of L.D. Landau
Massive gravity
journal, September 2013
- Mukohyama, Shinji
- Classical and Quantum Gravity, Vol. 30, Issue 18
Field Theory for Today: The Quantum Theory of Fields . Volume 1, Foundations. Steven Weinberg. Cambridge University Press, New York, 1995. xxvi, 609 pp. $49.95 or £35.
journal, September 1995
- Georgi, Howard
- Science, Vol. 269, Issue 5231
Super-Hubble de Sitter fluctuations and the dynamical RG
journal, March 2010
- Burgess, C. P.; Leblond, L.; Holman, R.
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 03
Massive gravity
journal, January 2006
- Vainshtein, A.
- Surveys in High Energy Physics, Vol. 20, Issue 1-4
The Quantum Theory of Fields
journal, October 1964
- Park, David
- American Journal of Physics, Vol. 32, Issue 10
Super-Hubble de Sitter Fluctuations and the Dynamical RG
text, January 2009
- Burgess, C. P.; LeBlond, L.; Holman, Richard
- Carnegie Mellon University
Stochastic Inflation Revisited: Non-Slow Roll Statistics and DBI Inflation
text, January 2008
- Tolley, Andrew J.; Wyman, Mark
- arXiv
The galileon as a local modification of gravity
text, January 2008
- Nicolis, Alberto; Rattazzi, Riccardo; Trincherini, Enrico
- arXiv
Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
text, January 2009
- Deffayet, C.; Deser, S.; Esposito-Farese, G.
- arXiv
Generalization of the Fierz-Pauli Action
text, January 2010
- de Rham, Claudia; Gabadadze, Gregory
- arXiv
UV-Completion by Classicalization
text, January 2010
- Dvali, Gia; Giudice, Gian F.; Gomez, Cesar
- arXiv
Resummation of Massive Gravity
text, January 2010
- de Rham, Claudia; Gabadadze, Gregory; Tolley, Andrew J.
- arXiv
Self-healing of unitarity in effective field theories and the onset of new physics
text, January 2012
- Aydemir, Ufuk; Anber, Mohamed M.; Donoghue, John F.
- arXiv
Semiclassical Calculation of Multiparticle Scattering Cross Sections in Classicalizing Theories
text, January 2012
- Alberte, Lasma; Bezrukov, Fedor
- arXiv
Screening fifth forces in k-essence and DBI models
text, January 2012
- Brax, Philippe; Burrage, Clare; Davis, Anne-Christine
- arXiv
The renormalization of fluctuating branes, the Galileon and asymptotic safety
text, January 2012
- Codello, A.; Tetradis, N.; Zanusso, O.
- arXiv
Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
text, January 2013
- Collaboration, Planck; Ade, P. A. R.; Aghanim, N.
- arXiv
Mixed Galileons and Spherically Symmetric Solutions
text, January 2013
- Berezhiani, L.; Chkareuli, G.; de Rham, C.
- arXiv
Quantum Corrections in Massive Gravity
text, January 2013
- de Rham, Claudia; Heisenberg, Lavinia; Ribeiro, Raquel H.
- arXiv
Suppression of Quantum Corrections by Classical Backgrounds
text, January 2014
- Brouzakis, Nikolaos; Tetradis, Nikolaos
- arXiv
Essentials of k-essence
text, January 2000
- Armendariz-Picon, C.; Mukhanov, V.; Steinhardt, Paul J.
- arXiv
Enhancing the tensor-to-scalar ratio in simple inflation
text, January 2005
- Mukhanov, V.; Vikman, A.
- arXiv
Critical Exponents from the Effective Average Action
text, January 1993
- Tetradis, N.; Wetterich, C.
- arXiv
Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
text, January 2003
- Silverstein, Eva; Tong, David
- arXiv
Semiclassical Calculation of Multiparticle Scattering Cross Sections in Classicalizing Theories
text, January 2012
- Alberte, Lasma; Bezrukov, Fedor
- arXiv
Quantum corrections in Galileon theories
text, January 2013
- Brouzakis, N.; Codello, A.; Tetradis, N.
- arXiv
Works referencing / citing this record:
EFT of interacting spin-2 fields
journal, January 2020
- Alberte, Lasma; de Rham, Claudia; Momeni, Arshia
- Journal of High Energy Physics, Vol. 2020, Issue 1
Positivity bounds for massive spin-1 and spin-2 fields
journal, March 2019
- de Rham, Claudia; Melville, Scott; Tolley, Andrew J.
- Journal of High Energy Physics, Vol. 2019, Issue 3
Improved positivity bounds and massive gravity
journal, April 2018
- de Rham, Claudia; Melville, Scott; Tolley, Andrew J.
- Journal of High Energy Physics, Vol. 2018, Issue 4
On couplings to matter in massive (bi-)gravity
journal, January 2015
- Rham, Claudia de; Heisenberg, Lavinia; Ribeiro, Raquel H.
- Classical and Quantum Gravity, Vol. 32, Issue 3
How to avoid a swift kick in the chameleons
journal, March 2016
- Padilla, Antonio; Platts, Emma; Stefanyszyn, David
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
Two-body potential of Vainshtein screened theories
journal, July 2019
- Kuntz, Adrien
- Physical Review D, Vol. 100, Issue 2
Spin-2 fields and the weak gravity conjecture
journal, November 2019
- de Rham, Claudia; Heisenberg, Lavinia; Tolley, Andrew J.
- Physical Review D, Vol. 100, Issue 10
Dynamical system analysis of hybrid metric-Palatini cosmologies
journal, September 2015
- Carloni, Sante; Koivisto, Tomi; Lobo, Francisco S. N.
- Physical Review D, Vol. 92, Issue 6
Spin-2 fields and the weak gravity conjecture
text, January 2019
- Claudia, De Rha,; Lavinia, Heisenberg,; J., Tolley, Andrew
- ETH Zurich
Features and New Physical Scales in Primordial Observables: Theory and Observation
text, January 2015
- Chluba, Jens; Hamann, Jan; Patil, Subodh P.
- arXiv
Massive Galileon Positivity Bounds
text, January 2017
- de Rham, Claudia; Melville, Scott; Tolley, Andrew J.
- arXiv
EFT of Interacting Spin-2 Fields
text, January 2019
- Alberte, Lasma; de Rham, Claudia; Momeni, Arshia
- arXiv