One-loop calculations in CPT-even Lorentz-breaking scalar QED

TL;DR

This paper investigates one-loop quantum corrections in a CPT-even Lorentz-breaking scalar QED, revealing interactions between scalar and gauge sectors and confirming gauge transversality.

Contribution

It provides the first calculation of one-loop Lorentz-violating corrections in scalar QED, showing mixing of background tensors from scalar and gauge sectors.

Findings

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

Gauge sector corrections are confirmed to be transversal.

Both finite and divergent parts show this tensor mixing.

Abstract

In this paper, we study a CPT-even Lorentz-breaking extension of the scalar QED. For this theory, we calculate the one-loop lower-order 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 both in finite and divergent parts. This shows that these two Lorentz-breaking terms cannot be studied in an isolated form. Besides, the results in the gauge sector are confirmed to be transversal.