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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 520, Pages 124–138
(Mi znsl7314)
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Scalar product of the five-vertex model and complete symmetric polynomials
N. M. Bogolyubov, C. L. Malyshev St.Petersburg Department of Steklov Institute of Mathematics, RAS, Fontanka 27, St.-Petersburg, Russia
Abstract:
The scalar product of the state-vectors of the exactly solvable five-vertex model with the fixed boundary conditions is considered. Various relations including those in terms of complete symmetric polynomials are derived. The limiting forms of the obtained answers may be interpreted in terms of random walks on a square grid.
Key words and phrases:
five-vertex model, integrable models, Quantum Inverse Scattering Method, symmetric polynomials, random walks.
Received: 03.07.2023
Citation:
N. M. Bogolyubov, C. L. Malyshev, “Scalar product of the five-vertex model and complete symmetric polynomials”, Questions of quantum field theory and statistical physics. Part 29, Zap. Nauchn. Sem. POMI, 520, POMI, St. Petersburg, 2023, 124–138
Linking options:
https://www.mathnet.ru/eng/znsl7314 https://www.mathnet.ru/eng/znsl/v520/p124
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Abstract page: | 42 | Full-text PDF : | 27 | References: | 18 |
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