Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models

Al B. Zamolodchikov

doi:10.1016/0550-3213(90)90333-9

Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models

Al B. Zamolodchikov

Institute for Theoretical Physics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

639 Scopus citations

Abstract

Two integrable 2D relativistic field theory models are studied by the thermodynamic Bethe ansatz method. One of them describes the scaling limit T → T_c of the 3-state Potts model and the other corresponds to the scaling region near the Lee-Yang singularity of the 2D Ising model. The finite volume ground state energy of these two theories is calculated numerically using the integral equations of the temperature Bethe ansatz approach. Numerical results are compared with the perturbations near the corresponding conformal theories. This allows us to relate the mass scales of the theories to their dimensional coupling constants.

Original language	English
Pages (from-to)	695-720
Number of pages	26
Journal	Nuclear Physics, Section B
Volume	342
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(90)90333-9
State	Published - Oct 8 1990

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title = "Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models",

abstract = "Two integrable 2D relativistic field theory models are studied by the thermodynamic Bethe ansatz method. One of them describes the scaling limit T → Tc of the 3-state Potts model and the other corresponds to the scaling region near the Lee-Yang singularity of the 2D Ising model. The finite volume ground state energy of these two theories is calculated numerically using the integral equations of the temperature Bethe ansatz approach. Numerical results are compared with the perturbations near the corresponding conformal theories. This allows us to relate the mass scales of the theories to their dimensional coupling constants.",

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N2 - Two integrable 2D relativistic field theory models are studied by the thermodynamic Bethe ansatz method. One of them describes the scaling limit T → Tc of the 3-state Potts model and the other corresponds to the scaling region near the Lee-Yang singularity of the 2D Ising model. The finite volume ground state energy of these two theories is calculated numerically using the integral equations of the temperature Bethe ansatz approach. Numerical results are compared with the perturbations near the corresponding conformal theories. This allows us to relate the mass scales of the theories to their dimensional coupling constants.

AB - Two integrable 2D relativistic field theory models are studied by the thermodynamic Bethe ansatz method. One of them describes the scaling limit T → Tc of the 3-state Potts model and the other corresponds to the scaling region near the Lee-Yang singularity of the 2D Ising model. The finite volume ground state energy of these two theories is calculated numerically using the integral equations of the temperature Bethe ansatz approach. Numerical results are compared with the perturbations near the corresponding conformal theories. This allows us to relate the mass scales of the theories to their dimensional coupling constants.

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DO - 10.1016/0550-3213(90)90333-9

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JF - Nuclear Physics, Section B

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ER -

Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models

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