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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,
Bijeni�ka 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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