Abstract
The classification of Lorentz- and CPT-violating operators in nonabelian 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.
Highlights
Non-Abelian gauge theories, introduced by Yang and Mills in 1954 [1], play a central role in physics
Attention has been drawn to the possibility that tiny violations of Lorentz symmetry could arise in a unified theory of gravity and quantum physics such as strings [2], triggering many searches for potentially observable signals in laboratory experiments and astrophysical observations [3]
Using effective field theory [4], a realistic and comprehensive description of Lorentz violation encompassing the non-Abelian gauge symmetry of the Standard Model (SM) can be developed. This approach starts with the SM action coupled to general relativity (GR) and adds all coordinate-independent terms formed as the contraction of a Lorentz-violating operator with a coefficient governing the size of its physical effects
Summary
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
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