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The Fredholm Determinant Representation for the Partition Function of the Six-Vertex Model

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Abstract

The six-vertex model with domain-wall boundary conditions is considered. The Fredholm determinant representation for the partition function of the model is obtained. The kernel of the corresponding integral operator depends on Laguerre polynomials. Bibliography: 13 titles.

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  1. Steklov Mathematical Institute, Moscow

    N. A. Slavnov

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  1. N. A. Slavnov
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Slavnov, N.A. The Fredholm Determinant Representation for the Partition Function of the Six-Vertex Model. Journal of Mathematical Sciences 115, 2058–2065 (2003). https://doi.org/10.1023/A:1022664216120

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  • DOI: https://doi.org/10.1023/A:1022664216120

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