Chiral symmetry breaking, the superspace gap equation and the no-renormalization theorem

TL;DR

This paper investigates how supersymmetric gauge theories can exhibit chiral symmetry breaking and mass generation through solutions of superspace Schwinger-Dyson equations, challenging traditional no-renormalization constraints.

Contribution

It demonstrates that solutions to superspace Schwinger-Dyson equations can lead to symmetry breaking, contrary to no-renormalization theorems, and compares this with holomorphy-based approaches.

Findings

Superspace Schwinger-Dyson equations admit symmetry-breaking solutions.

No-renormalization theorems do not necessarily prevent mass generation.

Comparison with holomorphy and Wilsonian effective action approaches.

Abstract

Solutions of the superspace Schwinger-Dyson equations, describing mass generation and chiral symmetry breaking in supersymmetric gauge theory, need not be constrained to vanish by no-renormalization theorems, nor by special choices of gauge parameter. Thus symmetry breaking vacuum structures remain possible (as in non-supersymmetric gauge theory), inviting comparison with predictions of an alternative approach based on holomorphy and the Wilsonian effective action.