The thermal renormalization of the Bethe-ansatz excitation spectrum for the sine-Gordon system is presented. For the soliton mass, the results agree closely with those of Maki and Takayama over a significant temperature range, but the sudden decrease in mass they predict near a particular temperature is not found. For the Bethe-ansatz excitation corresponding to the phonon at zero temperature, the rest mass changes rapidly as the temperature increases, even near the classical limit. This suggests that at finite temperature this excitation (the one-string) no longer corresponds to the physical phonon.The thermal renormalization of the Bethe-ansatz excitation spectrum for the sine-Gordon system is presented. For the soliton mass, the results agree closely with those of Maki and Takayama over a significant temperature range, but the sudden decrease in mass they predict near a particular temperature is not found. For the Bethe-ansatz excitation corresponding to the phonon at zero temperature, the rest mass changes rapidly as the temperature increases, even near the classical limit. This suggests that at finite temperature this excitation (the one-string) no longer corresponds to the physical phonon.

Physical review. B, Condensed matterAug 1, 198214 citations

Bethe-ansatz massive-Thirring-model thermodynamics: The weak-coupling limit

X. Zotos

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 $T=0$ . The specific heat is presented and shown to vary smoothly for the whole range of coupling in the attractive regime.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 $T=0$. The specific heat is presented and shown to vary smoothly for the whole range of coupling in the attractive regime.

Physical review. B, Condensed matterSep 1, 198214 citations

The Thermodynamic Bethe Ansatz

Horaƫiu Năstase

Cambridge University Press eBooksSep 21, 20174 citations

T=0

. The specific heat is presented and shown to vary smoothly for the whole range of coupling in the attractive regime.