On the finiteness of the noncommutative supersymmetric Maxwell-Chern-Simons theory

TL;DR

This paper proves the absence of UV/IR mixing and demonstrates the finiteness of the three-dimensional noncommutative supersymmetric Maxwell-Chern-Simons theory at all loop orders, using a superfield approach.

Contribution

It is the first to establish the all-loop finiteness and absence of UV/IR mixing in this specific noncommutative supersymmetric gauge theory.

Findings

No UV/IR mixing at any loop order

Finiteness demonstrated at one, three, and higher loops

Superfield approach effectively used for proof

Abstract

Within the superfield approach, we prove the absence of UV/IR mixing in the three-dimensional noncommutative supersymmetric Maxwell-Chern-Simons theory at any loop order and demonstrate its finiteness in one, three and higher loop orders.