Supersymmetric Yang-Mills-Chern-Simons theory

TL;DR

This paper proves that three-dimensional N=1 supersymmetric Yang-Mills-Chern-Simons theory is finite at all loop levels and compares regularization methods, showing they produce identical effective actions.

Contribution

The paper establishes all-loop finiteness of the theory and demonstrates equivalence of two regularization techniques for the effective action.

Findings

The theory is finite at all loops.

Dimensional regularization and dimensional reduction yield the same effective action.

Regularization methods may differ in finite effective actions.

Abstract

We prove that three-dimensional N=1 supersymmetric Yang-Mills-Chern-Simons theory is finite to all loops. This leaves open the possibility that different regularization methods give different finite effective actions. We show that for this model dimensional regularization and regularization by dimensional reduction yield the same effective action.