Instanton Calculus and Nonperturbative Relations in N=2 Supersymmetric Gauge Theories

Abstract

Using instanton calculus we check, in the weak coupling region, the nonperturbative relation <φ2>=iπ(-a 2 ∂∂ a) obtained for a N=2 globally supersymmetric gauge theory. Our computations are performed for instantons of winding number k, up to k=2 and turn out to agree with previous nonperturbative results.

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