The dilute A4 model, the E7 mass spectrum and the tricritical ising model

K. A. Seaton; M. T. Batchelor

doi:10.1063/1.1465515

The dilute A₄ model, the E₇ mass spectrum and the tricritical ising model

K. A. Seaton^*, M. T. Batchelor

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A₄ lattice model in regime 2^- from the Bethe Ansatz solution. This model provides a realization of the integrable φ_(1,2) perturbation of the c = 7/10 conformal field theory, which is known to describe the off-critical thermal behavior of the tricritical Ising model. The E₇ masses predicted from purely elastic scattering theory follow in the approach to criticality. Universal amplitudes for the tricritical Ising model are calculated.

Original language	English
Pages (from-to)	2636-2653
Number of pages	18
Journal	Journal of Mathematical Physics
Volume	43
Issue number	5
DOIs	https://doi.org/10.1063/1.1465515
Publication status	Published - 1 May 2002

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abstract = "The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A4 lattice model in regime 2- from the Bethe Ansatz solution. This model provides a realization of the integrable φ(1,2) perturbation of the c = 7/10 conformal field theory, which is known to describe the off-critical thermal behavior of the tricritical Ising model. The E7 masses predicted from purely elastic scattering theory follow in the approach to criticality. Universal amplitudes for the tricritical Ising model are calculated.",

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AB - The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A4 lattice model in regime 2- from the Bethe Ansatz solution. This model provides a realization of the integrable φ(1,2) perturbation of the c = 7/10 conformal field theory, which is known to describe the off-critical thermal behavior of the tricritical Ising model. The E7 masses predicted from purely elastic scattering theory follow in the approach to criticality. Universal amplitudes for the tricritical Ising model are calculated.

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The dilute A₄ model, the E₇ mass spectrum and the tricritical ising model

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