ON THE RELATIONSHIP BETWEEN SIGMA MODELS AND SPIN CHAINS-Reference-Cited by-同舟云学术

ON THE RELATIONSHIP BETWEEN SIGMA MODELS AND SPIN CHAINS

Published:2005-12-10 Issue:30 Volume:19 Page:4449-4465
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

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

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979205032826

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