Reconstruction of Kubo–Martin–Schwinger structure from Euclidean Green functions

DOI10.1063/1.530442zbMath0808.46095OpenAlexW2077732281MaRDI QIDQ4317979

Roman Gielerak, Lech Jakóbczyk, Robert Olkiewicz

Publication date: 27 March 1995

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

Full work available at URL: https://doi.org/10.1063/1.530442

zbMATH Keywords

reflection positivityPoisson kernelKubo-Martin-Schwinger (KMS) stategeneralized periodicityEuclidean Green functions\(C^*\)-algebra dynamical systemmodular group of a von Neumann algebra

Mathematics Subject Classification ID

Model quantum field theories (81T10) Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items (7)

Gentle perturbations of the free Bose gas. The critical regime ⋮ Existence and a priori estimates for Euclidean Gibbs states ⋮ THERMAL QUANTUM FIELDS WITHOUT CUT-OFFS IN 1+1 SPACE-TIME DIMENSIONS ⋮ W*-KMS structure from multi-time Euclidean Green functions ⋮ Dobrushin's compactness criterion for Euclidean Gibbs measures ⋮ Stochastically positive structures on Weyl algebras. The case of quasi-free states ⋮ Gentle perturbations of the free Bose gas. I.

Cites Work

• Soliton quantization in lattice field theories
• Construction of a unique self-adjoint generator for a symmetric local semigroup
• Stochastic processes associated with KMS states
• Greens functions, Hamiltonians and modular automorphisms
• Quantum field theories of vortices and anyons
• Axioms for Euclidean Green's functions
• Existence of Green's functions for dilute Bose gases
• Statistical mechanics of quantum spin systems. II
• Necessary and sufficient conditions for the representation of a function by a doubly infinite Laplace integral
• Time Translations in the Algebraic Formulation of Statistical Mechanics

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