禁闭、Turbulence和衍射灾变
Confinement, Turbulence and Diffraction Catastrophes
摘要：
最近在Narayanan和Neuberger的Yang-Mills理论的数值模拟中观察到的威尔逊圈谱密度随环面积变化的大N_c跃迁的许多特征可以用一个简单的Burgers方程来模拟湍流。在此渐近极限之前的谱激波表现出与N_c的普适标度，其指数可以与衍射灾变的Berry指数相关联。
英文摘要：
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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