On the relationship between sigma models and spin chains
强关联电子
2009-11-11 v1
摘要
We consider the two-dimensional non-linear sigma model with topological term using a lattice regularization introduced by Shankar and Read [Nucl.Phys. B336 (1990), 457], that is suitable for studying the strong coupling regime. When this lattice model is quantized, the coefficient of the topological term is quantized as , with integer or half-integer. We study in detail the relationship between the low energy behaviour of this theory and the one-dimensional spin- Heisenberg model. We generalize the analysis to sigma models with other symmetries.
引用
@article{arxiv.cond-mat/0509140,
title = {On the relationship between sigma models and spin chains},
author = {D. Controzzi and E. Hawkins},
journal= {arXiv preprint arXiv:cond-mat/0509140},
year = {2009}
}
备注
To appear in Int. J. MOd. Phys. B