Calculations in Lorentz-breaking scalar QED

TL;DR

This paper investigates a Lorentz-violating extension of scalar QED, analyzing how background tensors from scalar and gauge sectors interact in quantum corrections, revealing their inseparability in one-loop calculations.

Contribution

It introduces a Lorentz-breaking scalar QED model and demonstrates the mixing of Lorentz-violating parameters from scalar and gauge sectors in quantum corrections.

Findings

Background tensors from scalar and gauge sectors are mixed in one-loop corrections.

Lorentz-violating parameters cannot be studied independently due to their interaction.

The study provides insights into the structure of Lorentz-breaking effects in scalar QED.

Abstract

We purpose a study a Lorentz-breaking extension of the scalar QED. We calculate the contributions in the Lorentz-violating parameters to the two-point functions of scalar and gauge fields. We found that the two background tensors, coming from the two sectors (scalar and gauge) are mixed in the one-loop corrections. This shows that these two Lorentz-breaking terms cannot be studied in an isolated form.