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arXiv · 1812.11672

Gauge field theories with Lorentz-violating operators of arbitrary dimension

Alan Kostelecky·Zonghao Li
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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.

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Alan Kostelecky, Zonghao Li. 2018-12-31. Gauge field theories with Lorentz-violating operators of arbitrary dimension. https://doi.org/10.1103/physrevd.99.056016

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