A statistical model of current loops and magnetic monopoles

DOI10.1007/s11040-015-9185-6zbMath1332.82007arXiv1311.5965OpenAlexW3101601345MaRDI QIDQ255726

Arvind Ayyer

Publication date: 9 March 2016

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5965

zbMATH Keywords

entropypartition functionfree energydeterminantal formulaDimer modelKasteleyn orientationmonopole-dimer model

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Generalized hypergeometric series, ({}_pF_q) (33C20) Elliptic integrals as hypergeometric functions (33C75)

Related Items (5)

A Pfaffian formula for monomer-dimer partition functions ⋮ Squareness for the monopole-dimer model ⋮ The monopole-dimer model for Cartesian products of graphs: extended abstract ⋮ The monopole-dimer model on Cartesian products of plane graphs ⋮ Pfaffian correlation functions of planar dimer covers

Cites Work

• The signed loop approach to the Ising model: foundations and critical point
• Double-dimer pairings and skew Young diagrams
• Local statistics of lattice dimers
• Approximating the number of monomer-dimer coverings of a lattice.
• Dimers on a simple-quartic net with a vacancy
• Conformal invariance of loops in the double-dimer model
• Theory of monomer-dimer systems
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Self-organized critical state of sandpile automaton models
• The emergence of the electrostatic field as a Feynman sum in random tilings with holes
• Dimer problem in statistical mechanics-an exact result
• Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers
• A Lower Bound for the Monomer-Dimer Problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A statistical model of current loops and magnetic monopoles