Email this article The Partition Function of the Four-Vertex Model in a Special External Field
- Authors: Bogoliubov N.1, Malyshev C.1
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Affiliations:
- St. Petersburg Department of the Steklov Institute of Mathematics
- Issue: Vol 242, No 5 (2019)
- Pages: 636-641
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243010
- DOI: https://doi.org/10.1007/s10958-019-04502-8
- ID: 243010
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Abstract
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.
About the authors
N. Bogoliubov
St. Petersburg Department of the Steklov Institute of Mathematics
Author for correspondence.
Email: nmbogoliubov@gmail.com
Russian Federation, St. Petersburg
C. Malyshev
St. Petersburg Department of the Steklov Institute of Mathematics
Email: nmbogoliubov@gmail.com
Russian Federation, St. Petersburg
