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 / (2 N). 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.
|Original language||English (US)|
|Number of pages||4|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Aug 7 2008|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics