The structure of radiatively induced Lorentz and CPT violation in QED at finite temperature

Abstract

We obtain the induced Lorentz- and CPT-violating term in QED at finite temperature using imaginary-time formalism and dimensional regularization. Its form resembles a Chern-Simons-like structure, but, unexpectedly, it does not depend on the temporal component of the fixed $b_{\mu }$ constant vector that is coupled to the axial current. Nevertheless Ward identities are respected and its coefficient vanishes at T=0, consistently with previous computations with the same regularization procedure, and it is a non-trivial function of temperature. We argue that at finite $T$ a Chern-Simons-like Lorentz- and CPT-violating term is generically present, the value of its coefficient being unambiguously determined up to a $T-$independent constant, related to the zero-temperature renormalization conditions.

15 pages, Latex, 1 figure in eps-format (included)

References in corpus (4)

• Stability, Causality, and Lorentz and CPT Violation
• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• One-Loop Effective Action for the Extended Spinor Electrodynamics with Violation of Lorentz and CPT Symmetry
• Radiatively Induced Lorentz and CPT Violation in QED at Finite Temperature

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