Possible large-N transitions for complex Wilson loop matrices
High Energy Physics - Theory
2011-03-02 v1 High Energy Physics - Lattice
Abstract
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.
Cite
@article{arxiv.0810.1058,
title = {Possible large-N transitions for complex Wilson loop matrices},
author = {Robert Lohmayer and Herbert Neuberger and Tilo Wettig},
journal= {arXiv preprint arXiv:0810.1058},
year = {2011}
}
Comments
45 pages, 4 compound figures