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. (c) 2008 Elsevier B.V. All rights reserved.
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