Energy-momentum tensor of a massless scalar quantum field in a Robertson-Walker universe

Paul Davies, S. A. Fulling, S. M. Christensen, T. S. Bunch

Research output: Contribution to journalArticle

106 Citations (Scopus)

Abstract

The renormalized stress tensor of a free quantum field in a curved space-time should be obtainable by some covariant procedure from the short-distance behavior of the corresponding operator products evaluated at separated points. We perform the covariant expansion of the vacuum expectation value of the point-split stress tensor of a conformally invariant scalar field in a spatially flat Robertson-Walker geometry. When attempting to identify the finite direction-independent part of the coincidence limit of this quantity as the renormalized stress tensor, we encounter ambiguities beyond those corresponding to inevitable renormalizations of coupling constants in the gravitational field equations, but nevertheless limited to local geometrical tensors of fourth order or lower in derivatives of the metric. The ambiguities are resolved by requiring the tensor to be covariantly conserved and to have a trace of the form indicated by recent research on conformal anomalies. Various techniques useful in calculations of this kind are described.

Original languageEnglish (US)
Pages (from-to)108-142
Number of pages35
JournalAnnals of Physics
Volume109
Issue number1
DOIs
StatePublished - 1977
Externally publishedYes

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stress tensors
universe
kinetic energy
tensors
scalars
ambiguity
encounters
gravitational fields
anomalies
operators
vacuum
expansion
products
geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Energy-momentum tensor of a massless scalar quantum field in a Robertson-Walker universe. / Davies, Paul; Fulling, S. A.; Christensen, S. M.; Bunch, T. S.

In: Annals of Physics, Vol. 109, No. 1, 1977, p. 108-142.

Research output: Contribution to journalArticle

Davies, Paul ; Fulling, S. A. ; Christensen, S. M. ; Bunch, T. S. / Energy-momentum tensor of a massless scalar quantum field in a Robertson-Walker universe. In: Annals of Physics. 1977 ; Vol. 109, No. 1. pp. 108-142.
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