Confinement, Turbulence and Diffraction Catastrophes
arXiv:0901.2284 · doi:10.1016/j.nuclphysa.2009.05.083
Abstract
Many features of large N_c transition that occurs in the spectral density of Wilson loops as a function of loop area (observed recently in numerical simulations of Yang-Mills theory by Narayanan and Neuberger) can be captured by a simple Burgers equation used to model turbulence. Spectral shock waves that precede this asymptotic limit exhibit universal scaling with N_c, with indices that can be related to Berry indices for diffraction catastrophes.
Presented at PANIC 2008