TY - JOUR

T1 - Numerical study of large-N phase transition of smeared Wilson loops in 4D pure YM theory

AU - Lohmayer, Robert

AU - Neuberger, Herbert

N1 - Funding Information:
RL and HN acknowledge partial support by the DOE under grant number DE-FG02-01ER41165. We are grateful to R. Narayanan who was involved in the early stages of this project.
Publisher Copyright:
© Copyright owned by the author(s).

PY - 2011

Y1 - 2011

N2 - In Euclidean four-dimensional SU(N) pure gauge theory, eigenvalue distributions of Wilson loop parallel transport matrices around closed spacetime curves show non-analytic behavior (a’large-N phase transition’) at a critical size of the curve. We focus mainly on an observable composed of traces of the Wilson loop operator in all totally antisymmetric representations, which is regularized with the help of smearing. By studying sequences of square Wilson loops on a hypercubic lattice with standard Wilson action, it is shown that this observable has a nontrivial continuum limit as a function of the physical size of the loop. We furthermore present (preliminary) numerical results confirming that, for large N, the N dependence in the critical regime is governed by the universal exponents 1/2 and 3/4 as expected (Burgers universality).

AB - In Euclidean four-dimensional SU(N) pure gauge theory, eigenvalue distributions of Wilson loop parallel transport matrices around closed spacetime curves show non-analytic behavior (a’large-N phase transition’) at a critical size of the curve. We focus mainly on an observable composed of traces of the Wilson loop operator in all totally antisymmetric representations, which is regularized with the help of smearing. By studying sequences of square Wilson loops on a hypercubic lattice with standard Wilson action, it is shown that this observable has a nontrivial continuum limit as a function of the physical size of the loop. We furthermore present (preliminary) numerical results confirming that, for large N, the N dependence in the critical regime is governed by the universal exponents 1/2 and 3/4 as expected (Burgers universality).

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M3 - Conference article

AN - SCOPUS:84872026963

VL - 139

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 29th International Symposium on Lattice Field Theory, Lattice 2011

Y2 - 10 July 2011 through 16 July 2011

ER -