Complex Burgers' equation in 2D SU(N) YM

Details Complex Burgers' equation in 2D SU(N) YM Complex Burgers' equation in 2D SU(N) YM

2008-09-07

arxiv.org/abs/0809.1238v3

Phys.Lett.B670:235-240,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; fixed typo in eq. 37, updated 1 reference and added 2 minor clarifying comments

Scientific paper

10.1016/j.physletb.2008.11.009

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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