Baryonic Corrections to Superpotentials from Perturbation Theory

TL;DR

This paper investigates baryonic corrections to superpotentials in SQCD, employing perturbation theory to compute and verify the corrections, including non-planar diagram contributions, with exact agreement using new techniques.

Contribution

It introduces a novel perturbative approach to compute baryonic corrections to superpotentials, including non-planar diagrams, and confirms results with exact quantitative agreement.

Findings

Computed baryonic corrections order by order using standard field theory techniques.

Derived the glueball superpotential by integrating in the glueball field.

Found exact agreement with the new perturbative technique, including non-planar diagram cancellations.

Abstract

We study the corrections induced by a baryon vertex to the superpotential of SQCD with gauge group SU(N) and N quark flavors. We first compute the corrections order by order using a standard field theory technique and derive the corresponding glueball superpotential by "integrating in" the glueball field. The structure of the corrections matches with the expectations from the recently introduced perturbative techniques. We then compute the first non-trivial contribution using this new technique and find exact quantitative agreement. This involves cancellations between diagrams that go beyond the planar approximation.