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Magnetic correlation length and universal amplitude of the lattice E<sub>8</sub> Ising model

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1997-08-07

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

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Abstract

The perturbation approach is used to derive the exact correlation length ξ of the dilute AL lattice models in regimes 1 and 2 for L odd. In regime 2 the A3 model is the E8 lattice realization of the two-dimensional Ising model in a magnetic field h at T = Tc. When combined with the singular part fs of the free energy the result for the A3 model gives the universal amplitude fsξ2 = 0.061 728 . . . as h → 0 in precise agreement with the result obtained by Delfino and Mussardo via the form-factor bootstrap approach.

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https://hdl.handle.net/1885/733766387

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ANU Research Publications

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Journal of Physics A: Mathematical and General

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Journal article

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10.1088/0305-4470/30/15/001

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