Universal properties of Wilson loop operators in large N QCD

Details Universal properties of Wilson loop operators in large N QCD Universal properties of Wilson loop operators in large N QCD

Publishing date

2008-09-29

URL

arxiv.org/abs/0809.5049v1

Journals

PoS LATTICE2008:239,2008

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Lattice

Additional info

7 pages, 3 figures, The XXVI International Symposium on Lattice Field Theory, July 14-19 2008, Williamsburg, Virginia, USA

Type

Scientific paper

Abstract

Eigenvalues of a Wilson loop operator are gauge invariant and their distribution undergoes a transition at infinite N as the size of the loop is changed. We study this transition using the average characteristic polynomial associated with the Wilson loop operator. We derive the scaling function in a certain double scaling limit for two dimensional QCD and hypothesize that the transition in three and four dimensional QCD are in the same universality class. Numerical evidence for this hypothesisis provided in three dimensions

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