The Hyperbolic Heisenberg and Sigma Models in (1+1)-dimensions
Analysis of PDEs
2011-04-15 v2 Mathematical Physics
math.MP
Abstract
Hyperbolic versions of the integrable (1+1)-dimensional Heisenberg Ferromagnet and sigma models are discussed in the context of topological solutions classifiable by an integer `winding number'. Some explicit solutions are presented and the existence of certain classes of such winding solutions examined.
Keywords
Cite
@article{arxiv.math/9811135,
title = {The Hyperbolic Heisenberg and Sigma Models in (1+1)-dimensions},
author = {A. E. Winn},
journal= {arXiv preprint arXiv:math/9811135},
year = {2011}
}
Comments
13 pages, 1 figure, Latex, personal style file included tensind.sty, Proof in section 3 altered, no changes to conclusions