The Dyson equations for general lattice systems

DOI10.1007/BF01159100zbMath0774.47039MaRDI QIDQ1173939

I. A. Ignatyuk

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

random walk methodBethe-Salpeter-type equations for the Euclidean Green's functionsdirect generalization of the Dyson equations to the case of general lattice systemsspectral properties of lattice modelsspectrum of Euclidean quantum field theory models and statistical physics modelssystem of ferromagnetic type

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Statistical mechanical methods in particle structure analysis of lattice field theories. II. Scalar and surface models
• Ornstein-Zernike and analyticity properties for classical lattice spin systems
• Invariant subspaces of clustering operators. II
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