Universal properties of Wilson loop operators in large N QCD

TY - JOUR

T1 - Universal properties of Wilson loop operators in large N QCD

AU - Narayanan, Rajamani

AU - Neuberger, Herbert

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2008

Y1 - 2008

N2 - 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 hypothesis is provided in three dimensions.

AB - 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 hypothesis is provided in three dimensions.

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M3 - Conference article

SN - 1824-8039

VL - 66

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 26th International Symposium on Lattice Field Theory, LATTICE 2008

Y2 - 14 July 2008 through 19 July 2008

ER -