Perturbative Derivation of Exact Superpotential for Meson Fields from Matrix Theories with One Flavour

TL;DR

This paper uses matrix theory methods to derive the exact superpotential for meson fields in gauge theories with one flavor, confirming known non-perturbative results.

Contribution

It provides a perturbative derivation of the superpotential for meson fields in theories with a single flavor, using the Dijkgraaf-Vafa approach.

Findings

Successfully reproduces the known non-perturbative superpotential.

Demonstrates the effectiveness of matrix theory methods in gauge theory analysis.

Bridges perturbative techniques with non-perturbative results in supersymmetric gauge theories.

Abstract

We derive the superpotential of gauge theories having matter fields in the fundamental representation of gauge fields by using the method of Dijkgraaf and Vafa. We treat the theories with one flavour and reproduce a well-known non-perturbative superpotential for meson field.