Magnetic Correlation Length and Universal Amplitude of the Lattice E8 Ising Model
M. T. Batchelor, K. A. Seaton
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 realisation 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 fs ξ2 = 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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