Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED

Abstract

We consider an extended QED with the addition of a dimension-five Lorentz-breaking coupling between spinor and gauge fields, involving a pseudo-tensor ${\kappa }^{\mu \nu \lambda \rho }$. The specific form of the Lorentz violating coupling considered by us have been suggested in other works, and some of its consequences at the classical level were already studied. Here, we investigate the consequences of this specific form of Lorentz violation at the quantum level, evaluating the one loop corrections to the gauge field two-point function, both at zero and at finite temperature. We relate the terms that are generated by quantum corrections with the photon sector of the Standard Model Extension, discussing the possibility of establishing experimental bounds on $k^{\mu \nu \rho \sigma }$. From the dispersion relations in the resulting theory, we discuss its consistency from the causality viewpoint.

arXiv comment22 pages, final version including corrections made in Errata

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Cited by in corpus (12)

• Radiative corrections and Lorentz violation
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
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• Podolsky electrodynamics from a condensation of topological defects
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-even dimension-5 terms