Perturbation about the mean field critical point

DOI10.1007/BF01212173zbMath0518.58040OpenAlexW1967927728MaRDI QIDQ1054054

Jean Bricmont, Jean-Raymond Fontaine

Publication date: 1982

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01212173

zbMATH Keywords

Ising modelmassless Gaussian fieldWeinberg's theorem on Feynman graphs

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of PDEs on manifolds (58J90)

Related Items (6)

Interfaces and typical Gibbs configurations for one-dimensional Kac potentials ⋮ A note on the Ising model in high dimensions ⋮ A perturbed mean field model of an interacting Boson gas and the large deviation principle ⋮ Corrections to the critical temperature in 2D Ising systems with Kac potentials ⋮ The low-temperature phase of Kac-Ising models ⋮ Infrared bounds and the Peierls argument in two dimensions

Cites Work

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• On the Partition Function of a One-Dimensional Gas
• Statistical Mechanical Theory of a Random Ferromagnetic System
• Linked Cluster Expansions in the Statistical Theory of Ferromagnetism
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
• Critical Behavior of Several Lattice Models with Long-Range Interaction
• Study of Several Lattice Systems with Long-Range Forces
• Statistical Mechanical Theory of Condensation

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