Local Thermal Equilibrium and KMS states in Curved Spacetime

Abstract

On the example of a free massless and conformally coupled scalar field, it is argued that in quantum field theory in curved spacetimes with time-like Killing field, the corresponding KMS states (generalized Gibbs ensembles) at parameter β>0 need not possess a definite temperature in the sense of the zeroth law. In fact, these states, although passive in the sense of the second law, are not always in local thermal equilibrium (LTE). A criterion characterizing LTE states with sharp local temperature is discussed. Moreover, a proposal is made for fixing the renormalization freedom of composite fields which serve as "thermal observables" and a new definition of the thermal energy of LTE states is introduced. Based on these results a general relation between the local temperature and the parameter β is established for KMS states in (Anti) de Sitter spacetime.

13 pages; to appear in Class. Quant. Grav

References in corpus (3)

• Local Thermal Equilibrium States and Quantum Energy Inequalities
• Conformal generally covariant quantum field theory: The scalar field and its Wick products
• Local Thermal Equilibrium in Quantum Field Theory on Flat and Curved Spacetimes

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• Local Thermal Equilibrium States in Relativistic Quantum Field Theory
• Disjointness of inertial KMS states and the role of Lorentz symmetry in thermalization