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arXiv:hep-th/0306197 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Reply to “Comment on ‘Properties of the massive Thirring model from the XYZ spin chain’ ”

Marko Kolanović, S. Pallua, Predrag Dominis Prester

Published Sep 3, 2003• 0 citations
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Abstract

We elaborate in more detail why the lattice calculation by Kolanovic et al., Phys. Rev. D 62, 025021 (2000), was done correctly and argue that increasing the number of sites is not expected to change our conclusions about the mass spectrum.
DOI
10.1103/physrevd.68.068702

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We contrast, on the same figure, our phenomenological renormalization-group results on the S=1S=1S=1 Heisenberg-Ising antiferromagnetic chain with results that we have recently obtained for S=12S=\frac{1}{2}S=21​ and S=32S=\frac{3}{2}S=23​. The different behaviors of integer- and half-integer-spin chains are revealed very clearly. This confirms the conclusion of our Communication.
We consider here the massive Thirring model regularized with the XYZ\mathrm{XYZ}XYZ spin chain. We numerically calculate the mass ratios of particles which lie in the discrete part of the spectrum and obtain results in accordance with the DHN formula and in disagreement with recent calculations in the literature based on the numerical Bethe ansatz and infinite momentum frame methods. We also analyze the short distance behavior of these states and evaluate the conformal dimensions. This paper, taken together with the previous one for the sine-Gordon model, confirms the duality relation between two models formulated by Klassen and Melzer [Int. J. Mod. Phys. A 8, 4131 (1993)].