Adiabatic Vacuumstates of the Dirac-field on a Curved Spacetime

Details Adiabatic Vacuumstates of the Dirac-field on a Curved Spacetime Adiabatic Vacuumstates of the Dirac-field on a Curved Spacetime

1998-02-12

arxiv.org/abs/hep-th/9802087v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, amsart

Scientific paper

In this article we review the quantization of the Dirac-field on a curved spacetime. For that purpose we describe the construction of the local observable algebras in the algebraic approach to quantum field theory. Among the possible states we single out the so called Hadamard-states, which are the ones relevant for physics. Finally, as an example, we give a definition for an adiabatic vacuum state of the Dirac-field on a Robertson-Walker spacetime. We believe that these states are physical in the sense that they have the singularity structure of Hadamard-form, although we cannot give a formal proof of this conjecture.

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