Supersymmetry and Chiral Symmetry

TL;DR

This paper challenges a recent nonperturbative nonrenormalisation theorem in supersymmetric QED and extends a perturbative result about the effective potential to the nonperturbative regime for any number of flavors.

Contribution

It disputes a recent claim about mass generation in supersymmetric QED and generalizes a perturbative zero effective potential result to nonperturbative cases.

Findings

Disputes a nonperturbative nonrenormalisation theorem in supersymmetric QED.

Extends the zero effective potential result to nonperturbative regimes.

Provides insights into supersymmetry and chiral symmetry behaviors.

Abstract

We dispute a recent claim for a nonperturbative nonrenormalisation theorem stating that mass cannot be spontaneously generated in supersymmetric QED. We also extend a long-standing perturbative result, namely that the effective potential is zero to all orders of perturbation theory, to the nonperturbative regime for arbitrary numbers of flavours.