Induced magnetic moment in noncommutative Chern-Simons scalar QED

TL;DR

This paper calculates one-loop quantum corrections in noncommutative Chern-Simons scalar QED, revealing a new magnetic moment structure induced by noncommutativity, with finite contributions from various photon interaction diagrams.

Contribution

It introduces the first calculation of $ heta$-dependent magnetic moment corrections in noncommutative Chern-Simons scalar QED at one loop.

Findings

A $ heta$-dependent magnetic moment structure is induced.

Finite $ heta$-dependent contributions arise from cubic photon vertices.

Two-photon vertex diagrams contribute finite terms in the noncommutative case.

Abstract

We compute the one loop, $O(\th)$ correction to the vertex in the noncommutative Chern-Simons theory with scalar fields in the fundamental representation. Emphasis is placed on the parity odd part of the vertex, since the same leads to the magnetic moment structure. We find that, apart from the commutative term, a $\th$-dependent magnetic moment type structure is induced. In addition to the usual commutative graph, cubic photon vertices also give a finite $\th$ dependent contribution. Furthermore, the two two-photon vertex diagrams, that give zero in the commutative case yield finite $\th$ dependent terms to the vertex function.