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.

31 pages, LATEX file, a reference added, discussion in the Conclusions slightly corrected

Cited by in corpus (24)

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• Non-Abelian Confinement via Abelian Flux Tubes in Softly Broken N=2 SUSY QCD
• IR Renormalons vs. Operator Product Expansion in Supersymmetric and Related Gauge Theories
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• Instantons at Strong Coupling, Averaging over Vacua, and the Gluino Condensate
• Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons
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• Deriving exact prepotential for $N=2$ supersymmetric Yang-Mills theories from superconformal anomaly with rank two gauge groups
• Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory
• Low Energy Effective Action in N=2 Yang-Mills as an Integrated Anomaly
• The structure of the exact effective action and the quark confinement in MSSM QCD