We present a computational framework not based on the string hypothesis for the thermodynamics of statistical and quantum field theory models solvable by the Bethe ansatz. In the cases of XXZ Heisenberg chain and the sine-Gordon quantum field theory we derive a single nonlinear integral equation which determines the free energy (or ground-state scaling function). Our approach is very effective at high temperature, and correctly reproduces the low-temperature central charge and the analytic structure of the corrections. © 1992 The American Physical Society.
Destri, C., de Vega, H. (1992). New thermodynamic Bethe ansatz equations without strings. PHYSICAL REVIEW LETTERS, 69(16), 2313-2317 [10.1103/PhysRevLett.69.2313].
New thermodynamic Bethe ansatz equations without strings
DESTRI, CLAUDIO;
1992
Abstract
We present a computational framework not based on the string hypothesis for the thermodynamics of statistical and quantum field theory models solvable by the Bethe ansatz. In the cases of XXZ Heisenberg chain and the sine-Gordon quantum field theory we derive a single nonlinear integral equation which determines the free energy (or ground-state scaling function). Our approach is very effective at high temperature, and correctly reproduces the low-temperature central charge and the analytic structure of the corrections. © 1992 The American Physical Society.
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