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A note on the integral equation for the Wilson loop in N = 2 D=4 superconformal Yang-Mills theory

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arxiv 1111.0384 v2 pith:XYRZENAR submitted 2011-11-02 hep-th

classification hep-th
keywords equationapproximationintegralloopmethodwilsonyang-millsaccuracy
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abstract

We propose an alternative method to study the saddle point equation in the strong coupling limit for the Wilson loop in $\mathcal{N}=2$ D=4 super Yang-Mills with an SU(N) gauge group and 2N hypermultiplets. This method is based on an approximation of the integral equation kernel which allows to solve the simplified problem exactly. To determine the accuracy of this approximation, we compare our results to those obtained recently by Passerini and Zarembo. Although less precise, this simpler approach provides an explicit expression for the density of eigenvalues that is used to derive the planar free energy.

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    Two-point correlators of chiral/anti-chiral operators in SU(N) N=2 gauge theories with a non-zero beta function, computed by Feynman diagrams in flat space, match sphere-localization matrix model results exactly throu...

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