Lorentz-violating extension of scalar QED at finite temperature

Abstract

In this work, we calculate the one-loop self-energy corrections to the gauge field in scalar electrodynamics modified by Lorentz-violating terms within the framework of the standard model extension (SME). We focus on both $CPT$-even and $CPT$-odd contributions. The kinetic part of the scalar sector contains a $CPT$-even symmetric Lorentz-breaking tensor, and the interaction terms include a vector contracted with the usual covariant derivative in a gauge-invariant manner. We computed the one-loop radiative corrections using dimensional regularization for both the $CPT$-even and $CPT$-odd cases. Additionally, we employed the Matsubara formalism to account for finite temperature effects.

7 pages, 2 figures, matches published version in PLB

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• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Aether Compactification
• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Induced higher-derivative Lorentz-violating Chern-Simons term at finite temperature
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Cited by in corpus (2)

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