Possible large-N transitions for complex Wilson loop matrices

Details Possible large-N transitions for complex Wilson loop matrices Possible large-N transitions for complex Wilson loop matrices

2008-10-07

arxiv.org/abs/0810.1058v1

JHEP 0811:053,2008

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, 4 compound figures

Scientific paper

10.1088/1126-6708/2008/11/053

It is shown that a very simple multiplicative random complex matrix model generalizes the large-N phase structure found in the unitary case: A perturbative regime is joined to a non-perturbative regime at a point where the smoothness of some quantities breaks down. A generic complex Wilson loop matrix in a field theory admitting a 't Hooft planar limit could display a phase transition in that limit as nonlinear effects become dominating over linear ones.

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