Open AccessThe limit shape of the height function in the six-vertex model with domain-wall boundary conditions
Author(s) -
Pavel A. Belov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1697/1/012086
Subject(s) - vertex model , function (biology) , mathematics , monte carlo method , limit (mathematics) , vertex (graph theory) , boundary (topology) , domain (mathematical analysis) , mathematical analysis , correlation function (quantum field theory) , boundary value problem , point (geometry) , geometry , physics , mathematical physics , combinatorics , statistics , graph , spectral density , evolutionary biology , biology
The height function of the six-vertex model with the domain-wall boundary conditons in the free fermion point is computed by the Monte Carlo algorithm. The numerical results are in good agreement with the analytical expression for the limit shape height function. This paper is a “warm up” for the forthcoming one, where the two-point correlation function for the height function is calculated.