A nonlocal Poisson bracket of the sine-Gordon model
High Energy Physics - Theory
2010-11-26 v3 Exactly Solvable and Integrable Systems
Abstract
It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider the nonabelian dual of the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonlocal with one integration.
Cite
@article{arxiv.hep-th/0511069,
title = {A nonlocal Poisson bracket of the sine-Gordon model},
author = {Andrei Mikhailov},
journal= {arXiv preprint arXiv:hep-th/0511069},
year = {2010}
}
Comments
18 pages, LaTeX, v2,3: added Section 4 and references