Instanton-induced Effective Lagrangian in the Seiberg-Witten Model

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.