One-Loop Effective Action for the Extended Spinor Electrodynamics with Violation of Lorentz and CPT Symmetry

Abstract

If violation of Lorentz and CPT symmetry is introduced into the fermion sector of conventional quantum electrodynamics, then the Chern-Simons term is radiatively induced with finite nonzero coefficient, as well as the Maxwell term is with logarithmically divergent one. The heat kernel expansion and the proper time methods are used to determine the effective action in the one-loop approximation unambiguously.

9 pages, LaTeX, v2: conceptual changes

References in corpus (1)

• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED

Cited by in corpus (14)

• On the aether-like Lorentz-breaking actions
• On the perturbative generation of the higher-derivative Lorentz-breaking terms
• Lorentz violation and the proper-time method
• Chern-Simons-like action induced radiatively in General Relativity
• The structure of radiatively induced Lorentz and CPT violation in QED at finite temperature
• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Extended QED with CPT violation : clarifying some controversies
• Lorentz and CPT symmetries in commutative and noncommutative spacetime
• On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking
• Nonanalyticity of the induced Carroll-Field-Jackiw term at finite temperature
• Two-dimensional Lorentz-violating Chern-Simons-like action
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Induced vacuum current and magnetic flux in quantum scalar matter in the background of a vortex defect with the Neumann boundary condition
• Non-Perturbative One-Loop Effective Action for QED with Yukawa Couplings