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Free energies and critical exponents of the A_1^{(1)}, B_n^{(1)}, C_n^{(1)} and D_n^{(1)} face models

M. T. Batchelor·V. Fridkin·A. Kuniba·K. Sakai·Y. -K. Zhou
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Abstract

We obtain the free energies and critical exponents of models associated with elliptic solutions of the star-triangle relation and reflection equation. The models considered are related to the affine Lie algebras A_1^{(1)}, B_n^{(1)},C_n^{(1)} and D_n^{(1)}. The bulk and surface specific heat exponents are seen to satisfy the scaling relation 2\alpha_s = \alpha_b + 2. It follows from scaling relations that in regime III the correlation length exponent \nu is given by \nu=(l+g)/2g, where l is the level and g is the dual Coxeter number. In regime II we find \nu=(l+g)/2l.

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M. T. Batchelor, V. Fridkin, A. Kuniba, K. Sakai, Y. -K. Zhou. 1997-03-04. Free energies and critical exponents of the A_1^{(1)}, B_n^{(1)}, C_n^{(1)} and D_n^{(1)} face models. https://doi.org/10.1143/jpsj.66.913

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