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

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

2011-11-02

arxiv.org/abs/1111.0384v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, v2: section 2.5 (Free Energy) amended and reference added, to appear in J. Phys. A

Scientific paper

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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