Two-Loop Quantum Corrections of Scalar QED with Non-Minimal Chern-Simons Coupling

TL;DR

This paper analyzes two-loop quantum corrections in a non-minimally coupled scalar QED with Chern-Simons term, revealing renormalization challenges and conditions for potential spontaneous symmetry breaking.

Contribution

It demonstrates the breakdown of one-loop renormalizability at two loops and identifies conditions to renormalize the effective potential in this theory.

Findings

One-loop renormalizability does not extend to two loops.

Proper choice of non-minimal coupling can renormalize the effective potential.

Potential for analyzing spontaneous symmetry breaking via radiative corrections.

Abstract

We investigate two-loop quantum corrections to non-minimally coupled Maxwell-Chern-Simons theory. The non-minimal gauge interaction represents the magnetic moment interaction between the charged scalar and the electromagnetic field. We show that the one-loop renormalizability of the theory found in previous work does not survive to the two-loop level. However, with an appropriate choice of the non-minimal coupling constant, it is possible to renormalize the two-loop effective potential and hence render it potentially useful for a detailed analysis of spontaneous symmetry breaking induced by radiative corrections.