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

Scientific paper - Original scientific paper

• Author: Silvio Pallua
• Author: Predrag Prester
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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.

• Keywords (english): sine-Gordon model; mass spectrum on cylinder; UV and IR regime; XXZ spin chain in transverse field; first two breathers have equal scaling dimensions
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review
• Publication version: Published version
• Journal title: Fizika B
• Numbering: vol. 10, no. 4, pp. 175-186
• p-ISSN: 1330-0016
• URN:NBN: urn:nbn:hr:217:693284
• Publication: 2001
• Document URL: http://fizika.hfd.hr/fizika_b/bv01/b10p175.htm
• Type of resource: Text
• Access conditions: Open access
• Created on: 2019-10-11 14:42:54