Quantum states and the Hadamard form. III. Constraints in cosmological space-times
- 15 October 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 32 (8) , 1942-1948
- https://doi.org/10.1103/physrevd.32.1942
Abstract
We examine the constraints on the construction of Fock spaces for scalar fields in spatially flat Robertson-Walker space-times imposed by requiring that the vacuum state of the theory have a two-point function possessing the Hadamard singularity structure required by standard renormalization theory. It is shown that any such vacuum state must be a second-order adiabatic vacuum. We discuss the global requirements on the two-point function for it to possess the Hadamard form at all times if it possesses it at one time.Keywords
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