XXZ spin chain in a transverse field as a regularization of the sine-Gordon model

Pallua, Silvio and Prester, Predrag (1999) XXZ spin chain in a transverse field as a regularization of the sine-Gordon model. Physical Review D, 59 (12). pp. 125006-8. ISSN 1550-7998

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We consider here the XXZ spin chain perturbed by the operator σx (“in a transverse field”) which is a lattice regularization of the sine-Gordon model. This can be shown using conformal perturbation theory. We calculate the mass ratios of particles which lie in a discrete part of the spectrum and obtain results in accord with the DHN formula and in disagreement with recent calculations in the literature based on the numerical Bethe ansatz and infinite momentum frame methods. We also analyze the short distance behavior of these states (UV or conformal limit). Our result for conformal dimension of the second breather state is different from that conjectured by Klassen and Melzer [Int. J. Mod. Phys. A 8, 4131 (1993)] and is consistent with this paper for other states.

Item Type: Article
Keywords: XXZ chain, sine-Gordon, perturbed conformal field theory, spectrum
Date: May 1999
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (1999) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119222
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 14 May 2014 16:02
Last Modified: 20 Oct 2014 15:25
URI: http://digre.pmf.unizg.hr/id/eprint/1302

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