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

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

1996-05-30

arxiv.org/abs/hep-th/9605215v1

Phys.Rev. D55 (1997) 1099-1104

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, latex file, no figures

Scientific paper

10.1103/PhysRevD.55.1099

Using instanton calculus we check, in the weak coupling region, the nonperturbative relation $$ <\Tr\phi^2>=i\pi\left(\cf-{a\over 2} {\partial\cf\over\partial a}\right)$$ 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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