SYSTEMS OF CLASSICAL PARTICLES IN THE GRAND CANONICAL ENSEMBLE, SCALING LIMITS AND QUANTUM FIELD THEORY

DOI10.1142/S0129055X05002327zbMath1078.81054arXivmath-ph/0601021MaRDI QIDQ5313445

Hanno Gottschalk, Sergio A. Albeverio, Minoru W. Yoshida

Publication date: 1 September 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0601021

zbMATH Keywords

local interactionssine-Gordon modelcluster expansionPoisson random fieldsconstructive quantum field theoryEuclidean quantum field theorycorrelation functionalscontinuum limit of particle systemsextremal Gibbs measuresparticle systems in the grand canonical ensemblePotts- and Widom-Rowlinson models

Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Constructive quantum field theory (81T08) Renormalization group methods in equilibrium statistical mechanics (82B28) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

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