Chern-Simons like term generation in an extended model of QED under external conditions

TL;DR

This paper investigates the generation of a Chern-Simons like term in an extended QED model with Lorentz and CPT violation, analyzing effects at finite temperature and in a background magnetic field.

Contribution

It provides one-loop calculations of the antisymmetric photon polarization tensor and the correction to the CS term under external conditions in an extended QED framework.

Findings

Derived the antisymmetric component of the photon polarization operator.

Calculated the first correction to the CS term due to a background magnetic field.

Analyzed the effects of finite temperature and external magnetic fields on CS term generation.

Abstract

The possibility of a Chern-Simons like term generation in an extended model of QED, in which a Lorentz and CPT non-covariant interaction term for fermions is present, has been investigated at finite temperature and in the presence of a background color magnetic field. To this end, the photon polarization operator in an external constant axial-vector field has been considered. One-loop contributions to its antisymmetric component due to fermions in the linear order of the axial-vector field have been obtained. Moreover, the first nontrivial correction to the induced CS term due to the presence of a weak constant homogeneous color magnetic field has been derived.