Adiabatic Vacua and Hadamard States for Scalar Quantum Fields on Curved Spacetime

Abstract

Quasifree states of a linear Klein-Gordon quantum field on globally hyperbolic spacetime manifolds are considered. Using techniques from the theory of pseudodifferential operators and wavefront sets on manifolds a criterion for a state to be an Hadamard state is developed. It is shown that ground- and KMS-states on certain static spacetimes and adiabatic vacuum states on Robertson-Walker spaces are Hadamard states. Finally, the problem of constructing Hadamard states on arbitrary curved spacetimes is solved in principle.

arXiv comment72 pages, Latex, 2 figures appended as uuencoded file

References in corpus (1)

• Hadamard States and Adiabatic Vacua

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