The Reeh–Schlieder property for thermal field theories

DOI10.1063/1.533208zbMath0977.81060arXivhep-th/9904049OpenAlexW2161546513MaRDI QIDQ2737898

Christian D. Jäkel

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/9904049

zbMATH Keywords

additivitylocalityKMS states

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Applications of operator theory in the physical sciences (47N50) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

DISTILLABILITY AND POSITIVITY OF PARTIAL TRANSPOSES IN GENERAL QUANTUM FIELD SYSTEMS ⋮ Microlocal analysis of quantum fields on curved space–times: Analytic wave front sets and Reeh–Schlieder theorems ⋮ Information loss, mixing and emergent type \(\mathrm{III}_1\) factors ⋮ Entanglement, space-time and the Mayer-Vietoris theorem ⋮ Two algebraic properties of thermal quantum field theories ⋮ Superposition, transition probabilities and primitive observables in infinite quantum systems

Cites Work

• On the existence of equilibrium states in local quantum field theory
• On the equivalence of the Euclidean and Wightman formulation of field theory
• Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
• Towards a relativistic KMS-condition
• On the equilibrium states in quantum statistical mechanics