ON THE RELATIONSHIP BETWEEN SIGMA MODELS AND SPIN CHAINS

Author:

CONTROZZI D.1,HAWKINS E.2

Affiliation:

1. International School for Advanced Studies, Via Beirut 4, 34014 Trieste, Italy

2. Department of Mathematics, The University of Western Ontario, London, Ontario N6A 5B7, Canada

Abstract

We consider the two-dimensional O (3) non-linear sigma model with topological term using a lattice regularization introduced by Shankar and Read [Nucl. Phys. B336, 457 (1990)], that is suitable for studying the strong coupling regime. When this lattice model is quantized, the coefficient θ of the topological term is quantized as θ=2πs, with s integer or half-integer. We study in detail the relationship between the low energy behaviour of this theory and the one-dimensional spin-s Heisenberg model. We generalize the analysis to sigma models with other symmetries.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The lattice β-function of quantum spin chains;Journal of Statistical Mechanics: Theory and Experiment;2006-12-18

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