On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background

TL;DR

This paper calculates non-holomorphic corrections to the low-energy effective action in N=2 SU(2) Super Yang-Mills theory with hypermultiplets on a non-abelian background, providing exact one-loop results.

Contribution

It introduces a general method for computing gauge parameter-dependent contributions to the one-loop superfield effective action in non-abelian N=2 SYM theories.

Findings

Exact one-loop non-holomorphic effective potential derived

Method developed for gauge parameter dependence in effective action

Results expressed in terms of Euler dilogarithm function

Abstract

We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in N=2, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for a class of gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of Euler dilogarithm function for specific choice of gauge parameters.