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Journal of Physics C Solid State Physics

Thermodynamics of the lattice quantum sine-Gordon model and the lattice massive Thirring model

M. Ishikawa, Kazuo Hida

Published Oct 20, 1984• 2 citations
Publisher

Abstract

The thermodynamics is studied for two exactly soluble models by means of the Bethe ansatz method: the lattice quantum sine-Gordon model and the lattice massive Thirring model proposed by Izergin and Korepin (1981-82), and Weiss and Schotte (1983), respectively. The specific heat is analysed for each of these models as regards the effect of the cut-off parameter. The classical limit of the free energy is also discussed for the lattice quantum Sine-Gordon model.

DOI
10.1088/0022-3719/17/29/011

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Physical review. B, Condensed matter•Sep 1, 1982•14 citations
The thermodynamics is studied for two exactly soluble models by means of the Bethe ansatz method: the lattice quantum sine-Gordon model and the lattice massive Thirring model proposed by Izergin and Korepin (1981-82), and Weiss and Schotte (1983), respectively. The specific heat is analysed for each of these models as regards the effect of the cut-off parameter. The classical limit of the free energy is also discussed for the lattice quantum Sine-Gordon model.
The thermodynamics of the massive Thirring model is discussed with the help of the Bethe Ansatz approach in a way different from Fowler and Zotos (1982). In particular a finite Debye cut-off is introduced to investigate effects of the lattice discreteness. The specific heat seems to have a structure as a sum of the Debye-type specific heat and a 'soliton' peak, when the authors take into account the relation of the massive Thirring model to the quantum sine-Gordon model. The finite temperature excitations are calculated. The excitation energy proposed by Fowler and Zotos is shown to have significance which is insensitive to the way of formulation.
Using the Bethe-ansatz method we analyze the thermodynamic properties of the massive Thirring model in the zero-charge-sector attractive case, including the "charged vacuum" excitations introduced by Korepin. The energy of these excitations is calculated as a function of momentum and temperature and agrees with Korepin's results at T=0T=0T=0. The specific heat is presented and shown to vary smoothly for the whole range of coupling in the attractive regime.