Boundary one-point function of the rational six-vertex model with partial domain wall boundary conditions: explicit formulas and scaling properties

DOI10.3842/SIGMA.2021.111zbMath1482.82019arXiv2108.06190OpenAlexW4200290774MaRDI QIDQ2073662

M. D. Minin, Andrei G. Pronko

Publication date: 3 February 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.06190

zbMATH Keywords

lattice modelsphase separationcorrelation functionsYang-Baxter algebradomain wall boundary conditions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Yang-Baxter equations (16T25)

Related Items (1)

Construction of determinants for the six-vertex model with domain wall boundary conditions

Uses Software

• ROBBINS

Cites Work

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• Tailoring three-point functions and integrability II. Weak/strong coupling match
• Tailoring three-point functions and integrability
• An Izergin-Korepin procedure for calculating scalar products in the six-vertex model
• Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
• Calculation of norms of Bethe wave functions
• Solutions of the Yang-Baxter equation
• The arctic curve of the domain-wall six-vertex model
• Proof of the refined alternating sign matrix conjecture
• Tailoring three-point functions and integrability. III: Classical tunneling
• Partial domain wall partition functions
• Boundary polarization of the rational six-vertex model on a semi-infinite lattice
• Off-shell Bethe states and the six-vertex model
• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• \(\mathcal{N} = 4\) SYM structure constants as determinants
• Numerical study of the 6-vertex model with domain wall boundary conditions.
• Emptiness formation probability of the six-vertex model and the sixth Painlevé equation
• An approach for calculating correlation functions in the six-vertex model with domain wall boundary conditions
• Random Matrices and the Six-Vertex Model
• The hexagon in the mirror: the three-point function in the SoV representation
• The Limit Shape of Large Alternating Sign Matrices
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Determinant formula for the six-vertex model
• Boundary correlation functions of the six-vertex model
• Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
• Thermodynamic limit of the six-vertex model with domain wall boundary conditions
• Phase separation in the six-vertex model with a variety of boundary conditions
• Three-point function of semiclassical states at weak coupling
• The two-point correlation function in the six-vertex model
• Six-vertex model with partial domain wall boundary conditions: Ferroelectric phase

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