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.
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