Instanton-induced Effective Lagrangian in the Seiberg-Witten Model

TL;DR

This paper explicitly calculates the instanton contributions to the effective Lagrangian in the N=2 SU(2) supersymmetric gauge theory, matching the Seiberg-Witten solution and including all derivative corrections.

Contribution

It provides an explicit superfield formalism calculation of instanton effects in the Seiberg-Witten model, including all derivative corrections.

Findings

Leading instanton-induced term matches Seiberg-Witten solution

All orders of derivative corrections are computed

Explicit superfield formalism used for calculations

Abstract

The N=2 supersymmetric gauge theory with gauge group SU(2) is considered. The instanton field is calculated explicitly using the superfield formalism. The instanton-induced effects are encoded in the effective vertex in the Lagrangian. This vertex produces the large distance expansion of the low energy effective Lagrangian in derivatives of fields. The leading term in this expansion coincides with the one-instanton-induced term of the Seiberg-Witten exact solution of the model. All orders of corrections in derivatives of fields are also calculated.