Eigenvalue density of Wilson loops in 2D SU(N) YM

Details Eigenvalue density of Wilson loops in 2D SU(N) YM Eigenvalue density of Wilson loops in 2D SU(N) YM

2009-04-27

arxiv.org/abs/0904.4116v1

JHEP 0905:107,2009

Physics

High Energy Physics

High Energy Physics - Lattice

35 pages, 8 figures

Scientific paper

10.1088/1126-6708/2009/05/107

In 1981 Durhuus and Olesen (DO) showed that at infinite N the eigenvalue density of a Wilson loop matrix W associated with a simple loop in two-dimensional Euclidean SU(N) Yang-Mills theory undergoes a phase transition at a critical size. The averages of det(z-W), 1/det(z-W), and det(1+uW)/(1-vW) at finite N lead to three different smoothed out expressions, all tending to the DO singular result at infinite N. These smooth extensions are obtained and compared to each other.

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