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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2010

Partition function of the trigonometric SOS model with reflecting end

Résumé

We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms.
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Dates et versions

hal-00470173 , version 1 (04-04-2010)
hal-00470173 , version 2 (16-05-2010)

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Ghali Filali, Nikolai Kitanine. Partition function of the trigonometric SOS model with reflecting end. Journal of Statistical Mechanics: Theory and Experiment, 2010, pp.L06001. ⟨10.1088/1742-5468/2010/06/L06001⟩. ⟨hal-00470173v2⟩
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