Decay of Spatial Correlations in Thermal States

Details Decay of Spatial Correlations in Thermal States Decay of Spatial Correlations in Thermal States

1998-03-27

arxiv.org/abs/hep-th/9803233v1

Annales Poincare Phys.Theor. 69 (1998) 425-440

Physics

High Energy Physics

High Energy Physics - Theory

plain tex, 13 pages. To appear in Ann. Inst. H. Poinc. (Phys. Theor.)

Scientific paper

We study the cluster properties of thermal equilibrium states in theories with a maximal propagation velocity (such as relativistic QFT). Our analysis, carried out in the setting of algebraic quantum field theory, shows that there is a tight relation between spectral properties of the generator of time translations and the decay of spatial correlations in thermal equilibrium states, in complete analogy to the well understood case of the vacuum state.

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