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

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

2001-10-18

arxiv.org/abs/math-ph/0110021v2

J.Math.Phys. 43 (2002) 2636-2653

Physics

Mathematical Physics

24 pages, LaTeX, submitted to Journal of Mathematical Physics. One paragraph added and some minor typos corrected

Scientific paper

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 $\phi(1,2)$ 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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