标度下的大N相变及其应用
Large N phase transitions under scaling and their uses
摘要：
在2，3，4维SU（N）规范理论中，N为无穷大时，威尔逊圈矩阵的本征值对于小圈是支撑在以$z=1$为中心的单位圆上的一个小弧上，而对于大圈则扩展到整个单位圆上.这两个区域被一个大的N相变分隔开，其普适性质在d= 2，3和4中是相同的。希望这个大N的普适性可以被用来桥接传统的微扰理论计算，有效的小循环，与有效的弦计算大循环。这种计算的一个具体例子将得到一个用微扰尺度λ（QCD，N）表示的大N弦张力的解析估计。
英文摘要：
The eigenvalues of Wilson loop matrices in SU(N) gauge theories in dimensions 2,3,4 at infinite N are supported on a small arc on the unit circle centered at $z=1$ for small loops, but expand to the entire unit circle for large loops. These two regimes are separated by a large N phase transition whose universal properties are the same in d=2,3 and 4. Hopefully, this large N universality could be exploited to bridge traditional perturbation theory calculations, valid for small loops, with effective string calculations for large loops. A concrete case of such a calculation would obtain analytically an estimate of the large N string tension in terms of the perturbative scale Lambda(QCD,N).
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