We consider the N = 2 supersymmetric gauge theory with gauge group SU(2) and use the superfield formalism to calculate the instanton field explicitly. We suggest and check an N = 2 supersymmetric effective vertex encoding instanton-induced effects. This vertex produces an effective low-energy Lagrangian for light fields, whose leading term in the derivatives coincides with the one-instanton-induced term of the Seiberg-Witten exact solution of the model. We calculate the full effective Lagrangian, including all powers of field derivatives, as induced by one instanton.
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The author is grateful to D.I. Diakonov for useful comments and for reading the manuscript, to N. Dorey, V. Khoze and M. Mattis for valuable discussions and particularly close contact at the early stage of this work, to the Theoretical Physics group at the University of Swansea for hospitality and to the Higher Education Funding Council for Wales for support. This work has been also supported in part by the Russian Foundation for Basic Research, Grant No. 96-02-18030.
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