TheO(n) vector model atn= −1, −2 on random planar lattices: a direct combinatorial derivation

DOI10.1088/1742-5468/2005/02/L02002zbMath1459.82034arXivcond-mat/0412327OpenAlexW2016847214MaRDI QIDQ4968829

Andrea Sportiello, Sergio Caracciolo

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0412327

zbMATH Keywords

solvable lattice modelsloop models and polymers

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Conformal field theory
• Hamiltonian cycles on a random three-coordinate lattice
• Hamiltonian cycles on random Eulerian triangulations
• Exact solution of the \(O(n)\) model on a random lattice
• More on the exact solution of the \(O(n)\) model on a random lattice and an investigation of the case \(|n|>2\)
• Phase structure of the \(O(n)\) model on a random lattice for \(n> 2\)
• Exactly solvable Potts models, bond- and tree-like percolation on dynamical (random) planar lattice
• Analytical and numerical study of a model of dynamically triangulated random surfaces

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