Original scientific paper
UV and IR analyses of the mass spectrum in the sine-Gordon model
Silvio Pallua
; Department of Theoretical Physics, Faculty of Science, University of Zagreb, Bijenička c. 32, 10001 Zagreb, Croatia
Predrag Prester
; Department of Theoretical Physics, Faculty of Science, University of Zagreb, Bijenička c. 32, 10001 Zagreb, Croatia
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.
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
Hrčak ID:
304051
URI
Publication date:
1.10.2001.
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