2011/10/20 by Robert Lohmayer, Lohmayer, Robert, Herbert Neuberger +1
Physics and Astronomy · Earth and Planetary Sciences · #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics #High-pressure geophysics and materials
paper · pdf · doi:10.48550/arxiv.1110.4543
In Euclidean four-dimensional SU(N) pure gauge theory, eigenvalue\ndistributions of Wilson loop parallel transport matrices around closed\nspacetime curves show non-analytic behavior (a 'large-N phase transition') at a\ncritical size of the curve. We focus mainly on an observable composed of traces\nof the Wilson loop operator in all totally antisymmetric representations, which\nis regularized with the help of smearing. By studying sequences of square\nWilson loops on a hypercubic lattice with standard Wilson action, it is shown\nthat this observable has a nontrivial continuum limit as a function of the\nphysical size of the loop. We furthermore present (preliminary) numerical\nresults confirming that, for large N, the N dependence in the critical regime\nis governed by the universal exponents 1/2 and 3/4 as expected (Burgers\nuniversality).\n