Burgers' equation in 2D SU(N) YM
High Energy Physics - Theory
2008-11-26 v5 High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0806.0149,
title = {Burgers' equation in 2D SU(N) YM},
author = {H. Neuberger},
journal= {arXiv preprint arXiv:0806.0149},
year = {2008}
}
Comments
Final version -- accepted for publication in PLB - fixed abstract listing