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

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

2009-10-17

arxiv.org/abs/0910.3264v1

Acta Physica Polonica B Proc. Suppl. vol.2, no.3 page 473 (2009)

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 7 figures, contribution at the 49. Cracow School of Theoretical Physics, Zakopane, Poland, May 31 - June 10, 2009

Scientific paper

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 in the infinite-N limit. The averages of 1/det(z-W) and det(1+uW)/(1-vW) at finite N lead to two different smoothed out expressions. It is shown by a saddle-point analysis that both functions tend to the known singular result at infinite N.

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