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arXiv:1407.8243 · Physica A Statistical Mechanics and its Applications

Universal critical behavior of the two-magnon-bound-state mass gap for the (2+1) -dimensional Ising model

Yoshihiro Nishiyama

Published Jul 11, 2014• 8 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2014.07.025

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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=710 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.