Veneziano-Yankielowicz Superpotential Terms in N=1 SUSY Gauge Theories

TL;DR

This paper derives the Veneziano-Yankielowicz superpotential for N=1 SUSY gauge theories using a self-contained approach, revealing how non-perturbative terms naturally emerge and analyzing vacuum structures with matter fields.

Contribution

It provides a derivation of the superpotential from first principles, clarifying the origin of non-perturbative terms and extending the analysis to theories with matter fields.

Findings

Non-perturbative superpotential terms arise naturally in the derivation.

Vacuum structure with gaugino condensation and chiral symmetry breaking is confirmed.

Method is extended to theories with fundamental matter.

Abstract

The Veneziano-Yankielowicz glueball superpotential for an arbitrary N=1 SUSY pure gauge theory with classical gauge group is derived using an approach following recent work of Dijkgraaf, Vafa and others. These non-perturbative terms, which had hitherto been included by hand in the above approach, are thus seen to arise naturally, and the approach is rendered self-contained. By minimising the glueball superpotential for theories with fundamental matter added, the expected vacuum structure with gaugino condensation and chiral symmetry breaking is obtained. Various possible extensions are also discussed.