Gauge field theories with Lorentz-violating operators of arbitrary dimension

Kostelecký, V. Alan; Li, Zonghao

doi:10.1103/PhysRevD.99.056016

Title: Gauge field theories with Lorentz-violating operators of arbitrary dimension

Abstract

The classification of Lorentz- and CPT-violating operators in non-Abelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields. Restrictions to the Abelian, Lorentz-invariant, and isotropic limits are presented. We provide two illustrative applications of the results to quantum electrodynamics and quantum chromodynamics. First constraints on nonlinear Lorentz-violating effects in electrodynamics are obtained using data from experiments on photon-photon scattering, and corrections from nonminimal Lorentz and CPT violation to the cross section for deep inelastic scattering are derived.

Authors:: Kostelecký, V. Alan; Li, Zonghao

Publication Date:: Wed Mar 27 00:00:00 EDT 2019

Research Org.:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1503355

Alternate Identifier(s):: OSTI ID: 1596961

Grant/Contract Number:: SC0010120

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 99 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CPT symmetry; Lorentz symmetry

Citation Formats


                    Kostelecký, V. Alan, and Li, Zonghao. Gauge field theories with Lorentz-violating operators of arbitrary dimension.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.056016.

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                    Kostelecký, V. Alan, & Li, Zonghao. Gauge field theories with Lorentz-violating operators of arbitrary dimension.  United States.  https://doi.org/10.1103/PhysRevD.99.056016

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                    Kostelecký, V. Alan, and Li, Zonghao. Wed .  
"Gauge field theories with Lorentz-violating operators of arbitrary dimension".  United States.  https://doi.org/10.1103/PhysRevD.99.056016.

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@article{osti_1503355,

  title        = {Gauge field theories with Lorentz-violating operators of arbitrary dimension},

  author       = {Kostelecký, V. Alan and Li, Zonghao},

  abstractNote = {The classification of Lorentz- and CPT-violating operators in non-Abelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields. Restrictions to the Abelian, Lorentz-invariant, and isotropic limits are presented. We provide two illustrative applications of the results to quantum electrodynamics and quantum chromodynamics. First constraints on nonlinear Lorentz-violating effects in electrodynamics are obtained using data from experiments on photon-photon scattering, and corrections from nonminimal Lorentz and CPT violation to the cross section for deep inelastic scattering are derived.},

  doi          = {10.1103/PhysRevD.99.056016},

  journal      = {Physical Review. D.},

  number       = 5,

  volume       = 99,

  place        = {United States},

  year         = {Wed Mar 27 00:00:00 EDT 2019},

  month        = {Wed Mar 27 00:00:00 EDT 2019}

}

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Works referenced in this record:

Hadronic Lorentz violation in chiral perturbation theory
journal, March 2017

Kamand, Rasha; Altschul, Brett; Schindler, Matthias R.
Physical Review D, Vol. 95, Issue 5
DOI: 10.1103/PhysRevD.95.056005

Supersymmetry and Lorentz violation
journal, May 2002

Berger, M. S.; Kostelecký, V. Alan
Physical Review D, Vol. 65, Issue 9
DOI: 10.1103/PhysRevD.65.091701

Lorentz-violating spinor electrodynamics and Penning traps
journal, September 2016

Ding, Yunhua; Kostelecký, V. Alan
Physical Review D, Vol. 94, Issue 5
DOI: 10.1103/PhysRevD.94.056008

Search for $C P T$ and Lorentz Violation in $B^{0} − {\bar{B}}^{0}$ Oscillations with Dilepton Events
journal, April 2008

Aubert, B.; Bona, M.; Boutigny, D.
Physical Review Letters, Vol. 100, Issue 13
DOI: 10.1103/PhysRevLett.100.131802

Tests of Lorentz invariance: a 2013 update
journal, June 2013

Liberati, S.
Classical and Quantum Gravity, Vol. 30, Issue 13
DOI: 10.1088/0264-9381/30/13/133001

Classical-physics applications for Finsler b space
journal, June 2015

Foster, Joshua; Lehnert, Ralf
Physics Letters B, Vol. 746
DOI: 10.1016/j.physletb.2015.04.047

Fermions with Lorentz-violating operators of arbitrary dimension
journal, November 2013

Kostelecký, V. Alan; Mewes, Matthew
Physical Review D, Vol. 88, Issue 9
DOI: 10.1103/PhysRevD.88.096006

Probing Lorentz and $CPT$ violation with space-based experiments
journal, December 2003

Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D.
Physical Review D, Vol. 68, Issue 12
DOI: 10.1103/PhysRevD.68.125008

Lorentz and $C P T$ tests with hydrogen, antihydrogen, and related systems
journal, September 2015

Kostelecký, V. Alan; Vargas, Arnaldo J.
Physical Review D, Vol. 92, Issue 5
DOI: 10.1103/PhysRevD.92.056002

Extended hamiltonian formalism and Lorentz-violating lagrangians
journal, September 2017

Colladay, Don
Physics Letters B, Vol. 772
DOI: 10.1016/j.physletb.2017.07.027

Fermi Observations of High-Energy Gamma-Ray Emission from GRB 080916C
journal, February 2009

Abdo, A. A.; Ackermann, M.; Arimoto, M.
Science, Vol. 323, Issue 5922
DOI: 10.1126/science.1169101

Implications of Lorentz violation on Higgs-mediated lepton flavor violation
journal, January 2016

López-Osorio, M. A.; Martínez-Pascual, E.; Toscano, J. J.
Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 2
DOI: 10.1088/0954-3899/43/2/025003

Constraints on nonmetricity from bounds on Lorentz violation
journal, April 2017

Foster, Joshua; Kostelecký, V. Alan; Xu, Rui
Physical Review D, Vol. 95, Issue 8
DOI: 10.1103/PhysRevD.95.084033

Erratum: Observing Light-by-Light Scattering at the Large Hadron Collider [Phys. Rev. Lett. 111 , 080405 (2013)]
journal, March 2016

d’Enterria, David; da Silveira, Gustavo G.
Physical Review Letters, Vol. 116, Issue 12
DOI: 10.1103/PhysRevLett.116.129901

Asymptotic states and renormalization in Lorentz-violating quantum field theory
journal, September 2014

Cambiaso, Mauro; Lehnert, Ralf; Potting, Robertus
Physical Review D, Vol. 90, Issue 6
DOI: 10.1103/PhysRevD.90.065003

Lorentz and $C P T$ violation in top-quark production and decay
journal, February 2016

Berger, Micheal S.; Kostelecký, V. Alan; Liu, Zhi
Physical Review D, Vol. 93, Issue 3
DOI: 10.1103/PhysRevD.93.036005

Nature of the High Energy Particles of Penetrating Radiation and Status of Ionization and Radiation Formulae
journal, May 1934

Williams, E. J.
Physical Review, Vol. 45, Issue 10
DOI: 10.1103/PhysRev.45.729

Stability, causality, and Lorentz and $CPT$ violation
journal, February 2001

Kostelecký, V. Alan; Lehnert, Ralf
Physical Review D, Vol. 63, Issue 6
DOI: 10.1103/PhysRevD.63.065008

Sulla teoria dell’ urto tra atomi e corpuscoli elettrici
journal, April 1925

Fermi, Enrico
Il Nuovo Cimento, Vol. 2, Issue 2
DOI: 10.1007/BF02961914

Constraints on Torsion from Bounds on Lorentz Violation
journal, March 2008

Kostelecký, V. Alan; Russell, Neil; Tasson, Jay D.
Physical Review Letters, Vol. 100, Issue 11
DOI: 10.1103/PhysRevLett.100.111102

Gravity, Lorentz violation, and the standard model
journal, May 2004

Kostelecký, V. Alan
Physical Review D, Vol. 69, Issue 10
DOI: 10.1103/PhysRevD.69.105009

CPT , strings, and meson factories
journal, April 1995

Kostelecký, V. Alan; Potting, Robertus
Physical Review D, Vol. 51, Issue 7
DOI: 10.1103/PhysRevD.51.3923

Neutrinos with Lorentz-violating operators of arbitrary dimension
journal, May 2012

Kostelecký, V. Alan; Mewes, Matthew
Physical Review D, Vol. 85, Issue 9
DOI: 10.1103/PhysRevD.85.096005

Vector superfields and Lorentz violation
journal, January 2011

Colladay, Don; McDonald, Patrick
Physical Review D, Vol. 83, Issue 2
DOI: 10.1103/PhysRevD.83.025021

Lorentz and diffeomorphism violations in linearized gravity
journal, April 2018

Kostelecký, V. Alan; Mewes, Matthew
Physics Letters B, Vol. 779
DOI: 10.1016/j.physletb.2018.01.082

Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations
journal, December 2015

Abramowicz, H.; Abt, I.; Adamczyk, L.
The European Physical Journal C, Vol. 75, Issue 12
DOI: 10.1140/epjc/s10052-015-3710-4

Signals for Lorentz violation in electrodynamics
journal, September 2002

Kostelecký, V. Alan; Mewes, Matthew
Physical Review D, Vol. 66, Issue 5
DOI: 10.1103/PhysRevD.66.056005

Signals for CPT and Lorentz violation in neutral-meson oscillations
journal, December 1999

Kostelecký, V. Alan
Physical Review D, Vol. 61, Issue 1
DOI: 10.1103/PhysRevD.61.016002

Noncommutative Field Theory and Lorentz Violation
journal, September 2001

Carroll, Sean M.; Harvey, Jeffrey A.; Kostelecký, V. Alan
Physical Review Letters, Vol. 87, Issue 14
DOI: 10.1103/PhysRevLett.87.141601

CP ^(N−1) model in aether-superspace
journal, May 2018

Ferrari, A. F.; Lehum, A. C.
EPL (Europhysics Letters), Vol. 122, Issue 3
DOI: 10.1209/0295-5075/122/31001

Coherent γγ and γA interactions in very peripheral collisions at relativistic ion colliders
journal, July 2002

Baur, G.
Physics Reports, Vol. 364, Issue 5
DOI: 10.1016/S0370-1573(01)00101-6

Finsler-like structures from Lorentz-breaking classical particles
journal, February 2015

Russell, Neil
Physical Review D, Vol. 91, Issue 4
DOI: 10.1103/PhysRevD.91.045008

Bipartite Riemann–Finsler geometry and Lorentz violation
journal, October 2012

Alan Kostelecký, V.; Russell, N.; Tso, R.
Physics Letters B, Vol. 716, Issue 3-5
DOI: 10.1016/j.physletb.2012.09.002

Optical cavity limits on higher order Lorentz violation
journal, December 2013

Michimura, Yuta; Mewes, Matthew; Matsumoto, Nobuyuki
Physical Review D, Vol. 88, Issue 11
DOI: 10.1103/PhysRevD.88.111101

Nuclear charge-density-distribution parameters from elastic electron scattering
journal, May 1987

De Vries, H.; De Jager, C. W.; De Vries, C.
Atomic Data and Nuclear Data Tables, Vol. 36, Issue 3
DOI: 10.1016/0092-640X(87)90013-1

Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario
journal, June 2015

Belich, H.; Bernald, L. D.; Gaete, Patricio
The European Physical Journal C, Vol. 75, Issue 6
DOI: 10.1140/epjc/s10052-015-3447-0

Riemann–Finsler geometry and Lorentz-violating scalar fields
journal, November 2018

Edwards, Benjamin R.; Kostelecký, V. Alan
Physics Letters B, Vol. 786
DOI: 10.1016/j.physletb.2018.10.011

Tests of Lorentz and $CPT$ symmetry with hadrons and nuclei
journal, August 2016

Noordmans, J. P.; de Vries, J.; Timmermans, R. G. E.
Physical Review C, Vol. 94, Issue 2
DOI: 10.1103/PhysRevC.94.025502

Constraints on Lorentz invariance and $C P T$ violation using optical photometry and polarimetry of active galaxies BL Lacertae and S5 $B 0716 + 714$
journal, February 2019

Friedman, Andrew S.; Leon, David; Crowley, Kevin D.
Physical Review D, Vol. 99, Issue 3
DOI: 10.1103/PhysRevD.99.035045

The Confrontation between General Relativity and Experiment
journal, June 2014

Will, Clifford M.
Living Reviews in Relativity, Vol. 17, Issue 1
DOI: 10.12942/lrr-2014-4

Cavity Bounds on Higher-Order Lorentz-Violating Coefficients
journal, May 2011

Parker, Stephen R.; Mewes, Matthew; Stanwix, Paul L.
Physical Review Letters, Vol. 106, Issue 18
DOI: 10.1103/PhysRevLett.106.180401

Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment
journal, October 2015

Parker, Stephen R.; Mewes, Matthew; Baynes, Fred N.
Physics Letters A, Vol. 379, Issue 42
DOI: 10.1016/j.physleta.2015.08.006

Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
journal, September 2012

Schreck, M.
Physical Review D, Vol. 86, Issue 6
DOI: 10.1103/PhysRevD.86.065038

Constraining Anisotropic Lorentz Violation via the Spectral-lag Transition of GRB 160625B
journal, June 2017

Wei, Jun-Jie; Wu, Xue-Feng; Zhang, Bin-Bin
The Astrophysical Journal, Vol. 842, Issue 2
DOI: 10.3847/1538-4357/aa7630

What do we know about Lorentz invariance?
journal, May 2014

Tasson, Jay D.
Reports on Progress in Physics, Vol. 77, Issue 6
DOI: 10.1088/0034-4885/77/6/062901

Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory
journal, March 2019

Lehum, A. C.; Mariz, T.; Nascimento, J. R.
Physics Letters B, Vol. 790
DOI: 10.1016/j.physletb.2019.01.014

Causality and stability for Lorentz- $C P T$ violating electrodynamics with dimension-5 operators
journal, December 2010

Reyes, C. Marat
Physical Review D, Vol. 82, Issue 12
DOI: 10.1103/PhysRevD.82.125036

Gluonic Lorentz violation and chiral perturbation theory
journal, April 2017

Noordmans, J. P.
Physical Review D, Vol. 95, Issue 7
DOI: 10.1103/PhysRevD.95.075030

Decays Z → γγ and Z → gg in the Standard Model Extension
journal, December 2015

Castro-Medina, J.; Novales-Sanchez, H.; Toscano, J. J.
International Journal of Modern Physics A, Vol. 30, Issue 35
DOI: 10.1142/S0217751X15502164

A first experimental limit on in-matter torsion from neutron spin rotation in liquid 4He
journal, March 2014

Lehnert, Ralf; Snow, W. M.; Yan, H.
Physics Letters B, Vol. 730
DOI: 10.1016/j.physletb.2014.01.063

$CPT$ violation and the standard model
journal, June 1997

Colladay, Don; Kostelecký, V. Alan
Physical Review D, Vol. 55, Issue 11
DOI: 10.1103/PhysRevD.55.6760

Lorentz-violating extension of the standard model
journal, October 1998

Colladay, D.; Kostelecký, V. Alan
Physical Review D, Vol. 58, Issue 11
DOI: 10.1103/PhysRevD.58.116002

Spontaneous breaking of Lorentz symmetry in string theory
journal, January 1989

Kostelecký, V. Alan; Samuel, Stuart
Physical Review D, Vol. 39, Issue 2
DOI: 10.1103/PhysRevD.39.683

Lorentz violation and the electron-ion collider
journal, December 2018

Lunghi, Enrico; Sherrill, Nathan
Physical Review D, Vol. 98, Issue 11
DOI: 10.1103/PhysRevD.98.115018

Perturbative analysis on infrared aspects of noncommutative QED on R4
journal, April 2000

Hayakawa, M.
Physics Letters B, Vol. 478, Issue 1-3
DOI: 10.1016/S0370-2693(00)00242-2

Lorentz and $C P T$ tests with clock-comparison experiments
journal, August 2018

Kostelecký, V. Alan; Vargas, Arnaldo J.
Physical Review D, Vol. 98, Issue 3
DOI: 10.1103/PhysRevD.98.036003

CPT and strings
journal, August 1991

Alan Kostelecký, V.; Potting, Robertus
Nuclear Physics B, Vol. 359, Issue 2-3
DOI: 10.1016/0550-3213(91)90071-5

Classification of dimension-5 Lorentz-violating interactions in the standard model
journal, January 2008

Bolokhov, Pavel A.; Pospelov, Maxim
Physical Review D, Vol. 77, Issue 2
DOI: 10.1103/PhysRevD.77.025022

$C P T$ Violation Implies Violation of Lorentz Invariance
journal, November 2002

Greenberg, O. W.
Physical Review Letters, Vol. 89, Issue 23
DOI: 10.1103/PhysRevLett.89.231602

Folgerungen aus der Diracschen Theorie des Positrons
journal, November 1936

Heisenberg, W.; Euler, H.
Zeitschrift f�r Physik, Vol. 98, Issue 11-12
DOI: 10.1007/BF01343663

Lorentz violating supersymmetric quantum electrodynamics
journal, July 2005

Bolokhov, Pavel A.; Groot Nibbelink, Stefan; Pospelov, Maxim
Physical Review D, Vol. 72, Issue 1
DOI: 10.1103/PhysRevD.72.015013

Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
journal, July 2011

Klinkhamer, F. R.; Schreck, M.
Nuclear Physics B, Vol. 848, Issue 1
DOI: 10.1016/j.nuclphysb.2011.02.011

Implications of Lorentz symmetry violation on a 5D supersymmetric model
journal, April 2017

García-Aguilar, J. D.; Pérez-Lorenzana, A.
International Journal of Modern Physics A, Vol. 32, Issue 10
DOI: 10.1142/S0217751X1750052X

From classical Lagrangians to Hamilton operators in the standard model extension
journal, July 2016

Schreck, M.
Physical Review D, Vol. 94, Issue 2
DOI: 10.1103/PhysRevD.94.025019

Search for Violation of $C P T$ and Lorentz Invariance in $B_{s}^{0}$ Meson Oscillations
journal, October 2015

Abazov, V. M.; Abbott, B.; Acharya, B. S.
Physical Review Letters, Vol. 115, Issue 16
DOI: 10.1103/PhysRevLett.115.161601

Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
journal, August 2017

Collaboration, Atlas
Nature Physics, Vol. 13, Issue 9, p. 852-858
DOI: 10.1038/nphys4208

Search for Violations of Lorentz Invariance and $C P T$ Symmetry in $B_{(s)}^{0}$ Mixing
journal, June 2016

Aaij, R.; Abellán Beteta, C.; Adeva, B.
Physical Review Letters, Vol. 116, Issue 24
DOI: 10.1103/PhysRevLett.116.241601

Conservation of Isotopic Spin and Isotopic Gauge Invariance
journal, October 1954

Yang, C. N.; Mills, R. L.
Physical Review, Vol. 96, Issue 1
DOI: 10.1103/PhysRev.96.191

Tests of Lorentz Symmetry in the Gravitational Sector
journal, December 2016

Hees, Aurélien; Bailey, Quentin; Bourgoin, Adrien
Universe, Vol. 2, Issue 4
DOI: 10.3390/universe2040030

Clock-Comparison Tests of Lorentz and $CPT$ Symmetry in Space
journal, February 2002

Bluhm, Robert; Kostelecký, V. Alan; Lane, Charles D.
Physical Review Letters, Vol. 88, Issue 9
DOI: 10.1103/PhysRevLett.88.090801

Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the standard model extension
journal, May 2016

Schreck, M.
Physical Review D, Vol. 93, Issue 10
DOI: 10.1103/PhysRevD.93.105017

Lorentz violation and deep inelastic scattering
journal, June 2017

Kostelecký, V. Alan; Lunghi, E.; Vieira, A. R.
Physics Letters B, Vol. 769
DOI: 10.1016/j.physletb.2017.03.047

Status and prospects for CPT and Lorentz invariance violation searches in neutral meson mixing
journal, March 2015

van Tilburg, Jeroen; van Veghel, Maarten
Physics Letters B, Vol. 742
DOI: 10.1016/j.physletb.2015.01.036

Singular Lorentz-violating Lagrangians and associated Finsler structures
journal, October 2015

Colladay, Don; McDonald, Patrick
Physical Review D, Vol. 92, Issue 8
DOI: 10.1103/PhysRevD.92.085031

Data tables for Lorentz and $C P T$ violation
journal, March 2011

Kostelecký, V. Alan; Russell, Neil
Reviews of Modern Physics, Vol. 83, Issue 1
DOI: 10.1103/RevModPhys.83.11

Electromagnetic electron-positron pair production in heavy-ion collisions with impact parameter zero
journal, March 1994

Hencken, Kai; Trautmann, Dirk; Baur, Gerhard
Physical Review A, Vol. 49, Issue 3
DOI: 10.1103/PhysRevA.49.1584

Ausstrahlung bei St��en sehr schneller Elektronen
journal, September 1934

Weizs�cker, C. F. v.
Zeitschrift f�r Physik, Vol. 88, Issue 9-10
DOI: 10.1007/BF01333110

Riemann–Finsler geometry and Lorentz-violating kinematics
journal, June 2011

Kostelecký, V. Alan
Physics Letters B, Vol. 701, Issue 1
DOI: 10.1016/j.physletb.2011.05.041

One-loop correction to the photon velocity in Lorentz-violating QED
journal, June 2018

Satunin, Petr
Physical Review D, Vol. 97, Issue 12
DOI: 10.1103/PhysRevD.97.125016

Quantum field theory in a multimetric background
journal, July 2013

Drummond, I. T.
Physical Review D, Vol. 88, Issue 2
DOI: 10.1103/PhysRevD.88.025009

$C P T$ violation and $B$ -meson oscillations
journal, November 2010

Kostelecký, V. Alan; Van Kooten, Richard J.
Physical Review D, Vol. 82, Issue 10
DOI: 10.1103/PhysRevD.82.101702

A nonlinear dynamics for the scalar field in Randers spacetime
journal, March 2017

Silva, J. E. G.; Maluf, R. V.; Almeida, C. A. S.
Physics Letters B, Vol. 766
DOI: 10.1016/j.physletb.2017.01.025

The invariant theory of n × n matrices
journal, March 1976

Procesi, C.
Advances in Mathematics, Vol. 19, Issue 3
DOI: 10.1016/0001-8708(76)90027-X

Observing Light-by-Light Scattering at the Large Hadron Collider
journal, August 2013

d’Enterria, David; da Silveira, Gustavo G.
Physical Review Letters, Vol. 111, Issue 8
DOI: 10.1103/PhysRevLett.111.080405

Search for Violation of Lorentz Invariance in Top Quark Pair Production and Decay
journal, June 2012

Abazov, V. M.; Abbott, B.; Acharya, B. S.
Physical Review Letters, Vol. 108, Issue 26
DOI: 10.1103/PhysRevLett.108.261603

High-Energy Inelastic $e - p$ Scattering at 6° and 10°
journal, October 1969

Bloom, E. D.; Coward, D. H.; DeStaebler, H.
Physical Review Letters, Vol. 23, Issue 16
DOI: 10.1103/PhysRevLett.23.930

CPT , T , and Lorentz violation in neutral-meson oscillations
journal, September 2001

Kostelecký, V. Alan
Physical Review D, Vol. 64, Issue 7
DOI: 10.1103/PhysRevD.64.076001

Very High-Energy Collisions of Hadrons
journal, December 1969

Feynman, Richard P.
Physical Review Letters, Vol. 23, Issue 24
DOI: 10.1103/PhysRevLett.23.1415

Constraints on Relativity Violations from Gamma-Ray Bursts
journal, May 2013

Kostelecký, V. Alan; Mewes, Matthew
Physical Review Letters, Vol. 110, Issue 20
DOI: 10.1103/PhysRevLett.110.201601

Constraining $C P T$ -odd nonminimal interactions in the electroweak sector
journal, April 2017

Mouchrek-Santos, V. E.; Ferreira, Manoel M.
Physical Review D, Vol. 95, Issue 7
DOI: 10.1103/PhysRevD.95.071701

Unitarity in higher-order Lorentz-invariance violating QED
journal, June 2013

Reyes, Carlos M.
Physical Review D, Vol. 87, Issue 12
DOI: 10.1103/PhysRevD.87.125028

Leading-order classical Lagrangians for the nonminimal standard-model extension
journal, March 2018

Reis, J. A. A. S.; Schreck, M.
Physical Review D, Vol. 97, Issue 6
DOI: 10.1103/PhysRevD.97.065019

Asymptotic Sum Rules at Infinite Momentum
journal, March 1969

Bjorken, J. D.
Physical Review, Vol. 179, Issue 5
DOI: 10.1103/PhysRev.179.1547

Astrophysical Tests of Lorentz and CPT Violation with Photons
journal, November 2008

Kostelecký, V. Alan; Mewes, Matthew
The Astrophysical Journal, Vol. 689, Issue 1
DOI: 10.1086/595815

Electrodynamics with Lorentz-violating operators of arbitrary dimension
journal, July 2009

Kostelecký, V. Alan; Mewes, Matthew
Physical Review D, Vol. 80, Issue 1
DOI: 10.1103/PhysRevD.80.015020

Charm system tests of CPT and Lorentz invariance with FOCUS
journal, March 2003

Link, J. M.; Reyes, M.; Yager, P. M.
Physics Letters B, Vol. 556, Issue 1-2
DOI: 10.1016/S0370-2693(03)00103-5

Hadronic Lorentz violation in chiral perturbation theory including the coupling to external fields
journal, May 2018

Kamand, Rasha; Altschul, Brett; Schindler, Matthias R.
Physical Review D, Vol. 97, Issue 9
DOI: 10.1103/PhysRevD.97.095027

Sensitivity of $CPT$ Tests with Neutral Mesons
journal, March 1998

Kostelecký, V. Alan
Physical Review Letters, Vol. 80, Issue 9
DOI: 10.1103/PhysRevLett.80.1818

Exclusive muon-pair production in ultrarelativistic heavy-ion collisions: Realistic nucleus charge form factor and differential distributions
journal, July 2010

Kłusek-Gawenda, M.; Szczurek, A.
Physical Review C, Vol. 82, Issue 1
DOI: 10.1103/PhysRevC.82.014904

Observed Behavior of Highly Inelastic Electron-Proton Scattering
journal, October 1969

Breidenbach, M.; Friedman, J. I.; Kendall, H. W.
Physical Review Letters, Vol. 23, Issue 16
DOI: 10.1103/PhysRevLett.23.935

Constraining spacetime nonmetricity with neutron spin rotation in liquid 4 He
journal, September 2017

Lehnert, Ralf; Snow, W. M.; Xiao, Zhi
Physics Letters B, Vol. 772
DOI: 10.1016/j.physletb.2017.07.059

Effects of Lorentz violation through the γ e → W ν _e process in the Standard Model extension
journal, February 2014

Aranda, J. I.; Ramírez-Zavaleta, F.; Rosete, D. A.
Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 5
DOI: 10.1088/0954-3899/41/5/055003

Space Anisotropy Search at Colliders
journal, March 2018

Karpikov, I. S.; Tlisov, D. A.; Kirpichnikov, D. V.
Physics of Atomic Nuclei, Vol. 81, Issue 2
DOI: 10.1134/S1063778818020114

Foundations of the New Field Theory
journal, March 1934

Born, M.; Infeld, L.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 144, Issue 852
DOI: 10.1098/rspa.1934.0059

Lorentz-Violating Electrodynamics and the Cosmic Microwave Background
journal, July 2007

Kostelecký, V. Alan; Mewes, Matthew
Physical Review Letters, Vol. 99, Issue 1
DOI: 10.1103/PhysRevLett.99.011601

Planck-scale constraints on anisotropic Lorentz and $C P T$ invariance violations from optical polarization measurements
journal, April 2017

Kislat, Fabian; Krawczynski, Henric
Physical Review D, Vol. 95, Issue 8
DOI: 10.1103/PhysRevD.95.083013

Test of CPT and Lorentz symmetry in entangled neutral kaons with the KLOE experiment
journal, March 2014

Babusci, D.; Balwierz-Pytko, I.; Bencivenni, G.
Physics Letters B, Vol. 730
DOI: 10.1016/j.physletb.2014.01.026

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Electrodynamics with Lorentz-violating operators of arbitrary dimension

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The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density associated with the effective photon propagator. The covariant dispersion relation is obtained, and conditions for birefringence are discussed. We provide a complete characterization of the coefficients for Lorentz violation for all mass dimensions via a decomposition using spin-weighted spherical harmonics. The resulting nine independent sets of spherical coefficients control birefringence, dispersion, and anisotropy in the photon propagator. We discuss the restriction of the general theory tomore »« less
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Similar Records

Title: Gauge field theories with Lorentz-violating operators of arbitrary dimension

Abstract

Citation Formats

Hadronic Lorentz violation in chiral perturbation theory journal, March 2017

Supersymmetry and Lorentz violation journal, May 2002

Lorentz-violating spinor electrodynamics and Penning traps journal, September 2016

Search for C P T and Lorentz Violation in B 0 − B ¯ 0 Oscillations with Dilepton Events journal, April 2008

Tests of Lorentz invariance: a 2013 update journal, June 2013

Classical-physics applications for Finsler b space journal, June 2015

Fermions with Lorentz-violating operators of arbitrary dimension journal, November 2013

Probing Lorentz and CPT violation with space-based experiments journal, December 2003

Lorentz and C P T tests with hydrogen, antihydrogen, and related systems journal, September 2015

Extended hamiltonian formalism and Lorentz-violating lagrangians journal, September 2017

Fermi Observations of High-Energy Gamma-Ray Emission from GRB 080916C journal, February 2009

Implications of Lorentz violation on Higgs-mediated lepton flavor violation journal, January 2016

Constraints on nonmetricity from bounds on Lorentz violation journal, April 2017

Erratum: Observing Light-by-Light Scattering at the Large Hadron Collider [Phys. Rev. Lett. 111 , 080405 (2013)] journal, March 2016

Asymptotic states and renormalization in Lorentz-violating quantum field theory journal, September 2014

Lorentz and C P T violation in top-quark production and decay journal, February 2016

Nature of the High Energy Particles of Penetrating Radiation and Status of Ionization and Radiation Formulae journal, May 1934

Stability, causality, and Lorentz and CPT violation journal, February 2001

Sulla teoria dell’ urto tra atomi e corpuscoli elettrici journal, April 1925

Constraints on Torsion from Bounds on Lorentz Violation journal, March 2008

Gravity, Lorentz violation, and the standard model journal, May 2004

CPT , strings, and meson factories journal, April 1995

Neutrinos with Lorentz-violating operators of arbitrary dimension journal, May 2012

Vector superfields and Lorentz violation journal, January 2011

Lorentz and diffeomorphism violations in linearized gravity journal, April 2018

Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations journal, December 2015

Signals for Lorentz violation in electrodynamics journal, September 2002

Signals for CPT and Lorentz violation in neutral-meson oscillations journal, December 1999

Noncommutative Field Theory and Lorentz Violation journal, September 2001

CP (N−1) model in aether-superspace journal, May 2018

Coherent γγ and γA interactions in very peripheral collisions at relativistic ion colliders journal, July 2002

Finsler-like structures from Lorentz-breaking classical particles journal, February 2015

Bipartite Riemann–Finsler geometry and Lorentz violation journal, October 2012

Optical cavity limits on higher order Lorentz violation journal, December 2013

Nuclear charge-density-distribution parameters from elastic electron scattering journal, May 1987

Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario journal, June 2015

Riemann–Finsler geometry and Lorentz-violating scalar fields journal, November 2018

Tests of Lorentz and CPT symmetry with hadrons and nuclei journal, August 2016

Constraints on Lorentz invariance and C P T violation using optical photometry and polarimetry of active galaxies BL Lacertae and S5 B 0716 + 714 journal, February 2019

The Confrontation between General Relativity and Experiment journal, June 2014

Cavity Bounds on Higher-Order Lorentz-Violating Coefficients journal, May 2011

Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment journal, October 2015

Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory journal, September 2012

Constraining Anisotropic Lorentz Violation via the Spectral-lag Transition of GRB 160625B journal, June 2017

What do we know about Lorentz invariance? journal, May 2014

Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory journal, March 2019

Causality and stability for Lorentz- C P T violating electrodynamics with dimension-5 operators journal, December 2010

Gluonic Lorentz violation and chiral perturbation theory journal, April 2017

Decays Z → γγ and Z → gg in the Standard Model Extension journal, December 2015

A first experimental limit on in-matter torsion from neutron spin rotation in liquid 4He journal, March 2014

CPT violation and the standard model journal, June 1997

Lorentz-violating extension of the standard model journal, October 1998

Spontaneous breaking of Lorentz symmetry in string theory journal, January 1989

Lorentz violation and the electron-ion collider journal, December 2018

Perturbative analysis on infrared aspects of noncommutative QED on R4 journal, April 2000

Lorentz and C P T tests with clock-comparison experiments journal, August 2018

CPT and strings journal, August 1991

Classification of dimension-5 Lorentz-violating interactions in the standard model journal, January 2008

C P T Violation Implies Violation of Lorentz Invariance journal, November 2002

Folgerungen aus der Diracschen Theorie des Positrons journal, November 1936

Lorentz violating supersymmetric quantum electrodynamics journal, July 2005

Consistency of isotropic modified Maxwell theory: Microcausality and unitarity journal, July 2011

Implications of Lorentz symmetry violation on a 5D supersymmetric model journal, April 2017

From classical Lagrangians to Hamilton operators in the standard model extension journal, July 2016

Search for Violation of C P T and Lorentz Invariance in B s 0 Meson Oscillations journal, October 2015

Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC journal, August 2017

Search for Violations of Lorentz Invariance and C P T Symmetry in B ( s ) 0 Mixing journal, June 2016

Conservation of Isotopic Spin and Isotopic Gauge Invariance journal, October 1954

Tests of Lorentz Symmetry in the Gravitational Sector journal, December 2016

Clock-Comparison Tests of Lorentz and CPT Symmetry in Space journal, February 2002

Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the standard model extension journal, May 2016

Lorentz violation and deep inelastic scattering journal, June 2017

Status and prospects for CPT and Lorentz invariance violation searches in neutral meson mixing journal, March 2015

Singular Lorentz-violating Lagrangians and associated Finsler structures journal, October 2015

Data tables for Lorentz and C P T violation journal, March 2011

Electromagnetic electron-positron pair production in heavy-ion collisions with impact parameter zero journal, March 1994

Ausstrahlung bei St��en sehr schneller Elektronen journal, September 1934

Hadronic Lorentz violation in chiral perturbation theory
journal, March 2017

Supersymmetry and Lorentz violation
journal, May 2002

Lorentz-violating spinor electrodynamics and Penning traps
journal, September 2016

Search for $C P T$ and Lorentz Violation in $B^{0} − {\bar{B}}^{0}$ Oscillations with Dilepton Events
journal, April 2008

Tests of Lorentz invariance: a 2013 update
journal, June 2013

Classical-physics applications for Finsler b space
journal, June 2015

Fermions with Lorentz-violating operators of arbitrary dimension
journal, November 2013

Probing Lorentz and $CPT$ violation with space-based experiments
journal, December 2003

Lorentz and $C P T$ tests with hydrogen, antihydrogen, and related systems
journal, September 2015

Extended hamiltonian formalism and Lorentz-violating lagrangians
journal, September 2017

Fermi Observations of High-Energy Gamma-Ray Emission from GRB 080916C
journal, February 2009

Implications of Lorentz violation on Higgs-mediated lepton flavor violation
journal, January 2016

Constraints on nonmetricity from bounds on Lorentz violation
journal, April 2017

Erratum: Observing Light-by-Light Scattering at the Large Hadron Collider [Phys. Rev. Lett. 111 , 080405 (2013)]
journal, March 2016

Asymptotic states and renormalization in Lorentz-violating quantum field theory
journal, September 2014

Lorentz and $C P T$ violation in top-quark production and decay
journal, February 2016

Nature of the High Energy Particles of Penetrating Radiation and Status of Ionization and Radiation Formulae
journal, May 1934

Stability, causality, and Lorentz and $CPT$ violation
journal, February 2001

Sulla teoria dell’ urto tra atomi e corpuscoli elettrici
journal, April 1925

Constraints on Torsion from Bounds on Lorentz Violation
journal, March 2008

Gravity, Lorentz violation, and the standard model
journal, May 2004

CPT , strings, and meson factories
journal, April 1995

Neutrinos with Lorentz-violating operators of arbitrary dimension
journal, May 2012

Vector superfields and Lorentz violation
journal, January 2011

Lorentz and diffeomorphism violations in linearized gravity
journal, April 2018

Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations
journal, December 2015

Signals for Lorentz violation in electrodynamics
journal, September 2002

Signals for CPT and Lorentz violation in neutral-meson oscillations
journal, December 1999

Noncommutative Field Theory and Lorentz Violation
journal, September 2001

CP ^(N−1) model in aether-superspace
journal, May 2018

Coherent γγ and γA interactions in very peripheral collisions at relativistic ion colliders
journal, July 2002

Finsler-like structures from Lorentz-breaking classical particles
journal, February 2015

Bipartite Riemann–Finsler geometry and Lorentz violation
journal, October 2012

Optical cavity limits on higher order Lorentz violation
journal, December 2013

Nuclear charge-density-distribution parameters from elastic electron scattering
journal, May 1987

Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario
journal, June 2015

Riemann–Finsler geometry and Lorentz-violating scalar fields
journal, November 2018

Tests of Lorentz and $CPT$ symmetry with hadrons and nuclei
journal, August 2016

Constraints on Lorentz invariance and $C P T$ violation using optical photometry and polarimetry of active galaxies BL Lacertae and S5 $B 0716 + 714$
journal, February 2019

The Confrontation between General Relativity and Experiment
journal, June 2014

Cavity Bounds on Higher-Order Lorentz-Violating Coefficients
journal, May 2011

Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment
journal, October 2015

Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
journal, September 2012

Constraining Anisotropic Lorentz Violation via the Spectral-lag Transition of GRB 160625B
journal, June 2017

What do we know about Lorentz invariance?
journal, May 2014

Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory
journal, March 2019

Causality and stability for Lorentz- $C P T$ violating electrodynamics with dimension-5 operators
journal, December 2010

Gluonic Lorentz violation and chiral perturbation theory
journal, April 2017

Decays Z → γγ and Z → gg in the Standard Model Extension
journal, December 2015

A first experimental limit on in-matter torsion from neutron spin rotation in liquid 4He
journal, March 2014

$CPT$ violation and the standard model
journal, June 1997

Lorentz-violating extension of the standard model
journal, October 1998

Spontaneous breaking of Lorentz symmetry in string theory
journal, January 1989

Lorentz violation and the electron-ion collider
journal, December 2018

Perturbative analysis on infrared aspects of noncommutative QED on R4
journal, April 2000

Lorentz and $C P T$ tests with clock-comparison experiments
journal, August 2018

CPT and strings
journal, August 1991

Classification of dimension-5 Lorentz-violating interactions in the standard model
journal, January 2008

$C P T$ Violation Implies Violation of Lorentz Invariance
journal, November 2002

Folgerungen aus der Diracschen Theorie des Positrons
journal, November 1936

Lorentz violating supersymmetric quantum electrodynamics
journal, July 2005

Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
journal, July 2011

Implications of Lorentz symmetry violation on a 5D supersymmetric model
journal, April 2017

From classical Lagrangians to Hamilton operators in the standard model extension
journal, July 2016

Search for Violation of $C P T$ and Lorentz Invariance in $B_{s}^{0}$ Meson Oscillations
journal, October 2015

Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
journal, August 2017

Search for Violations of Lorentz Invariance and $C P T$ Symmetry in $B_{(s)}^{0}$ Mixing
journal, June 2016

Conservation of Isotopic Spin and Isotopic Gauge Invariance
journal, October 1954

Tests of Lorentz Symmetry in the Gravitational Sector
journal, December 2016

Clock-Comparison Tests of Lorentz and $CPT$ Symmetry in Space
journal, February 2002

Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the standard model extension
journal, May 2016

Lorentz violation and deep inelastic scattering
journal, June 2017

Status and prospects for CPT and Lorentz invariance violation searches in neutral meson mixing
journal, March 2015

Singular Lorentz-violating Lagrangians and associated Finsler structures
journal, October 2015

Data tables for Lorentz and $C P T$ violation
journal, March 2011

Electromagnetic electron-positron pair production in heavy-ion collisions with impact parameter zero
journal, March 1994

Ausstrahlung bei St��en sehr schneller Elektronen
journal, September 1934

Riemann–Finsler geometry and Lorentz-violating kinematics
journal, June 2011

One-loop correction to the photon velocity in Lorentz-violating QED
journal, June 2018

Quantum field theory in a multimetric background
journal, July 2013