Calculation of the constant factor in the six-vertex model

DOI10.4171/AIHPD/11zbMath1432.82009arXiv1306.3510OpenAlexW2963762332MaRDI QIDQ2019202

Thomas Bothner, Pavel M. Bleher

Publication date: 27 March 2015

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3510

zbMATH Keywords

Riemann-Hilbert problemToda equationsix-vertex modeldomain wall boundary conditionsasymptotic behavior of the partition functioncritical line between disordered and antiferroelectric phasesdeift-zhou nonlinear steepest descent method

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52)

Related Items (3)

Domain wall six-vertex model with half-turn symmetry ⋮ Sharp asymptotics for Fredholm pfaffians related to interacting particle systems and random matrices ⋮ Edge distribution of thinned real eigenvalues in the real Ginibre ensemble

Cites Work

• Unnamed Item
• Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
• Numerical study of the 6-vertex model with domain wall boundary conditions.
• EXACT SOLUTION OF THE SIX-VERTEX MODEL WITH DOMAIN WALL BOUNDARY CONDITIONS: CRITICAL LINE BETWEEN DISORDERED AND ANTIFERROELECTRIC PHASES

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