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The Partition Function of the Four-Vertex Model in a Special External Field

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The exactly solvable four-vertex model on a square grid with the fixed boundary conditions in a presence of a special external field is considered. Namely, we study a system in a linear field acting on the central column of the grid. The partition function of the model is calculated by the quantum inverse scattering method. The answer is written in determinantal form.

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Institute of Mathematics, St. Petersburg, Russia

    N. Bogoliubov & C. Malyshev

Authors
  1. N. Bogoliubov
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  2. C. Malyshev
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Corresponding author

Correspondence to N. Bogoliubov.

Additional information

Dedicated to M. A. Semenov-Tian-Shansky on the occasion of his 70th birthday

Published in Zapiski Nauchnykh Seminarov POMI, Vol. 473, 2018, pp. 77–84.

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Bogoliubov, N., Malyshev, C. The Partition Function of the Four-Vertex Model in a Special External Field. J Math Sci 242, 636–641 (2019). https://doi.org/10.1007/s10958-019-04502-8

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  • DOI: https://doi.org/10.1007/s10958-019-04502-8

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