Pauli-Villars Regularization of Globally Supersymmetric Theories

TL;DR

This paper demonstrates that one-loop divergences in supersymmetric theories can be regularized using heavy Pauli-Villars supermultiplets, extending the method to nonlinear sigma models, under specific gauge group conditions.

Contribution

It introduces a regularization method for supersymmetric theories using Pauli-Villars supermultiplets, applicable to nonlinear sigma models and requiring traceless gauge generators.

Findings

Ultraviolet divergences are regularized at one-loop level.

The method applies to supersymmetric gauged nonlinear sigma models.

Gauge group generators must be traceless in the matter representation.

Abstract

It is shown that the one-loop ultraviolet divergences in renormalizable supersymmetric theories can be regulated by the introduction of heavy Pauli-Villars chiral supermultiplets, provided the generators of the gauge group are traceless in the matter representation. The procedure is extended to include supersymmetric gauged nonlinear sigma models.