Perturbative Computation of Glueball Superpotentials

TL;DR

This paper presents a perturbative method using N=1 superspace techniques to compute glueball superpotentials in supersymmetric gauge theories, simplifying calculations especially at large N, and validating a diagrammatic recipe.

Contribution

It introduces a general perturbative approach for superpotential computation applicable to various gauge groups and representations, and confirms the large N simplification and diagrammatic recipe.

Findings

Perturbative computation of superpotentials is feasible using superspace techniques.

Large N expansion simplifies the superpotential calculation.

Validation of the planar diagram recipe for superpotential computation.

Abstract

Using N=1 superspace techniques in four dimensions we show how to perturbatively compute the superpotential generated for the glueball superfield upon integrating out massive charged fields. The technique applies to arbitrary gauge groups and representations. Moreover we show that for U(N) gauge theories admitting a large N expansion the computation dramatically simplifies and we prove the validity of the recently proposed recipe for computation of this quantity in terms of planar diagrams of matrix integrals.