Complete integrability in statistical mechanics and the Yang-Baxter equations

DOI10.1016/0167-2789(85)90183-6zbMath0579.58035OpenAlexW2002957469WikidataQ56950859 ScholiaQ56950859MaRDI QIDQ1067286

Craig A. Tracy

Publication date: 1985

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/5075

zbMATH Keywords

complete integrabilitydifferential formulation of the Yang-Baxter equations

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of PDEs on manifolds (58J90)

Related Items (3)

A solvable lattice model and related Rogers-Ramanujan type identities ⋮ The emerging role of number theory in exactly solvable models in lattice statistical mechanics ⋮ The 16-vertex model and its even and odd 8-vertex subcases on the square lattice

Cites Work

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• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• Differential geometry and the calculus of variations
• Partition function of the eight-vertex lattice model
• Integral geodesics of a flow on Lie groups
• The statistics of dimers on a lattice
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Integrals of nonlinear equations of evolution and solitary waves

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