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FIZIKA B 10 (2001) 4, 175-186
 
UV AND IR ANALYSES OF THE MASS SPECTRUM IN THE SINE-GORDON MODEL
SILVIO PALLUA and PREDRAG PRESTER
Department of Theoretical Physics, Faculty of Science, University of
Zagreb,
Bijenička c. 32, 10001 Zagreb, Croatia
Dedicated to Professor Kseno Ilakovac on the occasion of his 70th
birthday
Received 3 August 2001; Accepted 21 January 2002
Online 6 April 2002
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.
PACS numbers: 11.10.Kk, 11.25.Hf, 11.15.Tk, 75.10.Jm
UDC 538.94, 539.12
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
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