UV and IR analyses of the mass spectrum in the sine-Gordon model

Pallua, Silvio and Prester, Predrag (2001) UV and IR analyses of the mass spectrum in the sine-Gordon model. Fizika B, 10 (4). pp. 175-186. ISSN 1330-0016

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Abstract

We study the mass spectrum of the sine-Gordon model on a cylinder in the UV and IR regime. This is done by numerical diagonalization of the XXZ spin chain in a transverse field which is a convenient regularization. Our results strongly confirm the conjecture of Klassen and Melzer that sine-Gordon and massive Thirring models are not equivalent when defined on a finite cylinder. We obtain that the first two breathers have equal scaling dimensions, contrary to the conjecture claimed in literature.

Item Type: Article
Keywords: sine-Gordon model, mass spectrum on cylinder, UV and IR regime, XXZ spin chain in transverse field, first two breathers have equal scaling dimensions
Date: 2001
Subjects: NATURAL SCIENCES > Physics
Divisions: Faculty of Science > Department of Physics
Publisher: Hrvatsko fizikalno društvo
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 14 Mar 2014 20:56
Last Modified: 14 Mar 2014 20:56
URI: http://digre.pmf.unizg.hr/id/eprint/605

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