XXZ spin chain in transverse field as a regularization of the sine-Gordon model

Abstract

We consider here XXZ spin chain perturbed by the operator sigma^x (``in transverse field'') which is a lattice regularization of the sine-Gordon model. This can be shown using conformal perturbation theory. We calculated mass ratios of particles which lie in a discrete part of the spectrum and obtained results in accord with the DHN formula and in disagreement with recent calculations in literature based on numerical Bethe Ansatz and infinite momentum frame methods. We also analysed a short distance behavior of this states (UV or conformal limit). Our result for conformal dimension of the second breather state is different from the conjecture in [Klassen and Melzer, Int. J. Mod. Phys. A8, 4131 (1993)] and is consistent with this paper for other states.

7 pages, REVTeX, 6 figures, to appear in Phys. Rev. D

References in corpus (5)

• Exact expectation values of local fields in quantum sine-Gordon model
• The spin-1/2 XXZ Heisenberg chain, the quantum algebra U_q[sl(2)], and duality transformations for minimal models
• Equivalence of the sine-Gordon and massive Thirring models at finite temperature
• A new interpretation of Bethe ansatz solutions for massive Thirring model
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Cited by in corpus (5)

• Nonlinear Integral Equation and Finite Volume Spectrum of Minimal Models Perturbed by ${\Phi }_{(1,3)}$
• Violation of the string hypothesis and Heisenberg XXZ spin chain
• Universal corrections to the entanglement entropy in gapped quantum spin chains: a numerical study
• Properties of the massive Thirring model from the XYZ spin chain
• Reply to ``Comment on `Properties of the massive Thirring model from the XYZ spin chain' "