scholarly journals Thermodynamic Bethe Ansatz and Form Factors for the Homogeneous Sine-Gordon Models

2001 ◽  
pp. 139-153
Author(s):  
A. Fring
Keyword(s):  
Bethe Ansatz ◽  
Form Factors ◽  
Thermodynamic Bethe Ansatz

scholarly journals Quantum periods and TBA-like equations for a class of Calabi-Yau geometries

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Bao-ning Du ◽  
Min-xin Huang
Keyword(s):  
Large Class ◽  
Bethe Ansatz ◽  
Difference Equations ◽  
The Other ◽  
Elementary Functions ◽  
Quantum Dilogarithm ◽  
Thermodynamic Bethe Ansatz ◽  
Dilogarithm Function ◽  
Quantum Operators

Abstract We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev’s quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.

Thermodynamic Bethe Ansatz

2020 ◽  
pp. 791-835
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Bethe Ansatz ◽  
Free Field ◽  
Integrable Model ◽  
Finite Size ◽  
Casimir Energy ◽  
Thermodynamic Bethe Ansatz ◽  
Channel Quantization ◽  
Bulk Energy ◽  
Energy And Momentum

The Thermodynamic Bethe Ansatz (TBA) allows us to study finite size and finite temperature effects of an integrable model. This chapter investigates the integral equations that determine the free energy and gives their physical interpretation. It discusses Casimir energy, Bethe relativistic wave function, the derivation of thermodynamics, the meaning of pseudo-energy (dressed energy and momentum), infrared and ultraviolet limits, the coefficient of bulk energy, the general form of the TBA equations, the thermodynamics of the free field theories, L-channel quantization and the LeClair–Mussardo formula. It also covers the application of the Yang–Lee S-matrix, the magnetic field Ising model, and the tricritical Ising model.

scholarly journals Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

2020 ◽  
Vol 125 (9) ◽  
Author(s):  
Benjamin Basso ◽  
Gwenaël Ferrando ◽  
Vladimir Kazakov ◽  
De-liang Zhong
Keyword(s):  
Bethe Ansatz ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Thermodynamic Bethe Ansatz ◽  
Conformal Field

scholarly journals On sinh–Gordon thermodynamic Bethe ansatz and fermionic basis

2014 ◽  
Vol 29 (20) ◽  
pp. 1450111 ◽  
Author(s):  
Stefano Negro
Keyword(s):  
Bethe Ansatz ◽  
Thermodynamic Bethe Ansatz ◽  
The One

We review the construction of the fermionic basis for sinh–Gordon model and investigate numerically the ultraviolet limit of the one-point functions. We then compare the predictions obtained from this formalism against previously established results.

scholarly journals Thermodynamic Bethe Ansatz and dilogarithm identities I.

1995 ◽  
Vol 2 (6) ◽  
pp. 677-693 ◽  
Author(s):  
Edward Frenkel ◽  
András Szenes
Keyword(s):  
Bethe Ansatz ◽  
Thermodynamic Bethe Ansatz
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