Quantum states and the Hadamard form. I. Energy minimization for scalar fields

Amir Homayoon Najmi, Adrian C. Ottewill

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate properties of the states of a scalar field in a Robertson-Walker space-time constructed by an energy-minimization requirement. It is shown that in general the anticommutator expectation value Φ^(x)Φ^(x′)+Φ^(x′)Φ^(x) of these states will not possess the Hadamard form. We present a simple example in which we can give a closed form for such an expectation value. The implications of this result for renormalization theory in quantum field theory on curved space-time are discussed.

Original languageEnglish (US)
Pages (from-to)1733-1741
Number of pages9
JournalPhysical Review D
Volume30
Issue number8
DOIs
StatePublished - 1984
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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