It has been shown numerically by Chung that in the classical sine-Gordon limit the low-temperature thermodynamic properties of the massive Thirring model, as calculated using the Bethe ansatz, correspond to those of a free-phonon gas. We give an analytic derivation of this result and find simple expressions for the finite-temperature "excitation-spectrum" functions, and discuss their physical significance.
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Michael Fowler (1982) studied this question.
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