Quantum states and the Hadamard form. III. Constraints in cosmological space-times

Amir Homayoon Najmi, Adrian C. Ottewill

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)1942-1948
Number of pages7
JournalPhysical Review D
Volume32
Issue number8
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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