Integrable sigma models and perturbed coset models
High Energy Physics - Theory
2010-02-03 v1 Statistical Mechanics
Abstract
Sigma models arise frequently in particle physics and condensed-matter physics as low-energy effective theories. In this paper I compute the exact free energy at any temperature in two hierarchies of integrable sigma models in two dimensions. These theories, the SU(N)/SO(N) and O(2P)/O(P) x O(P) models, are asymptotically free and exhibit charge fractionalization. When the instanton coupling theta=pi, they flow to the SU(N)_1 and O(2P)_1 conformal field theories, respectively. I also generalize the free energy computation to massive and massless perturbations of the coset conformal field theories SU(N)_k/SO(N)_{2k} and O(2P)_k/O(P)_k x O(P)_k.
Cite
@article{arxiv.hep-th/0101034,
title = {Integrable sigma models and perturbed coset models},
author = {Paul Fendley},
journal= {arXiv preprint arXiv:hep-th/0101034},
year = {2010}
}
Comments
39 pages, 6 figures