Prepotential of N=2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet

TL;DR

This paper analyzes the prepotential of N=2 SU(2) Yang-Mills theory with a massive matter multiplet, deriving instanton expansions and exploring the double scaling limit to connect with matter-free theories.

Contribution

It provides the instanton expansion of the prepotential for the massive theory and investigates its behavior in the double scaling limit, linking it to the massless case.

Findings

Instanton contributions are explicitly computed.

The massless limit reproduces known results.

In the double scaling limit, the prepotential matches that of the pure gauge theory.

Abstract

We discuss the N=2 SU(2) Yang-Mills theory coupled with a massive matter in the weak coupling. In particular, we obtain the instanton expansion of its prepotential. Instanton contributions in the mass-less limit are completely reproduced. We study also the double scaling limit of this massive theory and find that the prepotential with instanton corrections in the double scaling limit coincides with that of N=2 SU(2) Yang-Mills theory without matter.