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arXiv · 0901.2284

Confinement, Turbulence and Diffraction Catastrophes

Jean-Paul Blaizot·Maciej A. Nowak
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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.

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Jean-Paul Blaizot, Maciej A. Nowak. 2009-01-15. Confinement, Turbulence and Diffraction Catastrophes. https://doi.org/10.1016/j.nuclphysa.2009.05.083

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