二维SU(N)YM中的Burgers方程
Burgers' equation in 2D SU(N) YM
摘要:
本文证明了规范群SU(N)的二维纯杨-米尔斯理论中威尔逊圈的特征多项式的对数导数严格满足Burgers方程,其粘性为1/(2N)。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。这一结果提供了一个精确的框架,在2D YM最近的观测布莱佐和诺瓦克,并受到他们的工作的启发。
英文摘要:
It is shown that the logarithmic derivative of the characteristic polynomial of a Wilson loop in two dimensional pure Yang Mills theory with gauge group SU(N) exactly satisfies Burgers' equation, 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 a precise framework in 2D YM for recent observations of Blaizot and Nowak and was inspired by their work.
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