二维SU（N）YM中的复Burgers方程
Complex Burgers' equation in 2D SU(N) YM
摘要：
本文从两个关联的复Burgers方程出发，导出了一个本征值密度满足的积分微分方程，本征值密度定义为规范群SU（N）的二维纯Yang Mills理论中威尔逊圈的平均逆特征多项式的对数导数。威尔逊圈本身不相交，欧几里得时空被假定为平坦和无限的。这个结果提供了Durhuus和Olesen的无穷N解到有限N的一个推广，但这个推广不是唯一的。
英文摘要：
An integro-differential equation satisfied by an eigenvalue density defined as the logarithmic derivative of the average inverse characteristic polynomial of a Wilson loop in two dimensional pure Yang Mills theory with gauge group SU(N) is derived from two associated complex Burgers' equations, with viscosity given by 1/(2N). The Wilson loop does not intersect itself and Euclidean space-time is assumed flat and infinite. This result provides an extension of the infinite N solution of Durhuus and Olesen to finite N, but this extension is not unique.
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