The Reeh-Schlieder property for thermal field theories

Abstract

We show that the Reeh-Schlieder property w.r.t. the KMS-vector is a direct consequence of locality, additivity and the relativistic KMS-condition. The latter characterises the thermal equilibrium states of a relativistic quantum field theory. The statement remains vaild even if the given equilibrium state breaks spatial translation invariance.

plain tex, 10 pages

References in corpus (3)

• Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
• Towards a Relativistic KMS Condition
• Global Properties of Vacuum States in de Sitter Space

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• Large scale quantum entanglement in de Sitter spacetime
• Separability for lattice systems at high temperature
• The relativistic KMS condition for the thermal n-point functions of the P(ϕ)_2 model
• On the relativistic KMS condition for the P(ϕ)_2 model
• Entanglement, space-time and the Mayer-Vietoris theorem
• Two algebraic properties of thermal quantum field theories
• Vacuum Fluctuations, Geometric Modular Action and Relativistic Quantum Information Theory