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The dilute A$_4$ model, the E$_7$ mass spectrum and the tricritical Ising model

K. A. Seaton·M. T. Batchelor
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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 A$_4$ lattice model in regime 2- from the Bethe ansatz solution. This model provides a realisation of the integrable $ϕ(1,2)$ perturbation of the c=7/10 conformal field theory, which is known to describe the off-critical thermal behaviour of the tricritical Ising model. The E$_7$ 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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BibTeXRIS

K. A. Seaton, M. T. Batchelor. 2002-01-29. The dilute A$_4$ model, the E$_7$ mass spectrum and the tricritical Ising model. https://doi.org/10.1063/1.1465515

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