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

Lohmayer, Robert and Neuberger, Herbert and Wettig, Tilo (2009) Eigenvalue density of Wilson loops in 2D SU(N) YM. JOURNAL OF HIGH ENERGY PHYSICS (5): 107. ISSN 1029-8479,

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Abstract

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), det(z - W)(-1), 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.

Item Type: Article
Uncontrolled Keywords: BURGERS-EQUATION; RANDOM MATRICES; QCD; Matrix Models; Lattice Gauge Field Theories; 1/N Expansion
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig
Depositing User: Dr. Gernot Deinzer
Date Deposited: 16 Sep 2020 12:08
Last Modified: 16 Sep 2020 12:08
URI: https://pred.uni-regensburg.de/id/eprint/29065

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