Emptiness formation probability in the domain-wall six-vertex model

DOI10.1016/j.nuclphysb.2007.12.016zbMath1234.82007arXiv0712.1524OpenAlexW2057189910MaRDI QIDQ952343

F. Colomo, Andrei G. Pronko

Publication date: 12 November 2008

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1524

zbMATH Keywords

correlation functionsYang-Baxter algebraemptiness formation probabilitysix-vertex modelmultiple integral representationsquantum inverse scattering model

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (27)

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 ⋮ Arctic curves of the six-vertex model on generic domains: the tangent method ⋮ Six-vertex model as a Grassmann integral, one-point function, and the arctic ellipse ⋮ On the emptiness formation probability in the free-fermion six-vertex model with domain wall boundary conditions ⋮ Arctic curves of the four-vertex model ⋮ A note on a one-point boundary correlation function for the six-vertex model with reflecting end ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Emptiness and depletion formation probability in spin models with inverse square interaction ⋮ Boundary correlations for the six-vertex model with reflecting end boundary condition ⋮ On the elliptic 𝔤𝔩2 solid-on-solid model: Functional relations and determinants ⋮ Arctic curve of the free-fermion six-vertex model in an L-shaped domain ⋮ The arctic curve of the domain wall six-vertex model in its antiferroelectric regime ⋮ A new representation for the partition function of the six-vertex model with domain wall boundaries ⋮ New differential equations in the six-vertex model ⋮ Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition ⋮ Fishnet four-point integrals: integrable representations and thermodynamic limits ⋮ Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions ⋮ Arctic boundaries of the ice model on three-bundle domains ⋮ The arctic curve of the domain-wall six-vertex model ⋮ Off-shell Bethe states and the six-vertex model ⋮ Thermodynamics of the six-vertex model in an L-shaped domain ⋮ Integral formulas and antisymmetrization relations for the six-vertex model ⋮ Entanglement entropy of excited states ⋮ Some explicit results for the generalized emptiness formation probability of the six-vertex model ⋮ Emptiness formation probability and Painlevé V equation in the XY spin chain ⋮ Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculation of norms of Bethe wave functions
• Algebraic representation of correlation functions in integrable spin chains
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation
• Diamond ice.
• Numerical study of the 6-vertex model with domain wall boundary conditions.
• Square ice, alternating sign matrices, and classical orthogonal polynomials
• The Arctic Circle Revisited
• Determinant formula for the six-vertex model
• Boundary correlation functions of the six-vertex model
• Thermodynamic limit of the six-vertex model with domain wall boundary conditions
• On two-point boundary correlations in the six-vertex model with domain wall boundary conditions
• The role of orthogonal polynomials in the six-vertex model and its combinatorial applications

This page was built for publication: Emptiness formation probability in the domain-wall six-vertex model