Fermions and loops on graphs: II. A monomer–dimer model as a series of determinants

DOI10.1088/1742-5468/2008/12/P12012zbMath1456.82039OpenAlexW3102207122MaRDI QIDQ5239458

Michael Chertkov, Vladimir Y. Chernyak

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/2008/12/p12012

zbMATH Keywords

gauge theoriesmessage-passing algorithmsrigorous results in statistical mechanics

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (2)

Fermions and loops on graphs: I. Loop calculus for determinants ⋮ Gauges, loops, and polynomials for partition functions of graphical models

Cites Work

• Dimers on surface graphs and spin structures. II
• Matching theory
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• Belief propagation and loop series on planar graphs
• Loop calculus in statistical physics and information science
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• Supersymmetry in Disorder and Chaos
• Combinatorial and topological approach to the 3D Ising model
• Fermions and loops on graphs: I. Loop calculus for determinants
• Exact solution of the Ising model on group lattices of genus g>1
• A Combinatorial Solution of the Two-Dimensional Ising Model
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