@MISC{And_exactresults, author = {Pronin And and P. I. Pronin and K. V. Stepanyantz}, title = {Exact Results Versus Anomalies}, year = {} }

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Abstract

We investigate nonperturbative effects in the N=1 SUSY YangMills theory with matter using a relation between perturbative and exact anomalies as a starting point. We show, that the superpotential is always generated by instantons and should contain gluino condensate. The exact expression for the superpotential is found. 1 Introduction One of the most interesting QFT problem is the investigation of nonperturbative dynamics. It is well known [1, 2], that except for perturbative corrections there is a series of instanton contributions. The first exact nonperturbative result was found in [3] for N=2 Yang-Mills theory in the constant field limit. It was checked, that its assimptotic reproduces one-instanton contribution correctly [4, 5]. Attempts to construct exact results for N=1 SUSY theories were made in [6, 7]. However, the corresponding results can not be considered as satisfactory, because for N f ! N c \Gamma 1 they contradict to instanton calculations [6]. For N f N c the prove of ...