Burgers' equation in 2D SU(N) YM

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Final version -- accepted for publication in PLB - fixed abstract listing

Scientific paper

10.1016/j.physletb.2008.06.064

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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