Burgers ’ equation in 2 D SU ( N ) YM
نویسنده
چکیده
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 explicitly confirms in two dimensional YM the recent interpretation by Blaizot and Nowak of the field theoretic short to long scale transition as an onset of turbulent behavior.
منابع مشابه
2 7 Ju n 20 08 Burgers ’ equation in 2 D SU ( N ) YM
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 observation...
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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 explicitly confirms in two dimensional YM the recent interpr...
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