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Quantum field theory in de Sitter space: renormalization by point-splitting

Bunch, T. S., Davies, P. C. W.·1978·Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences

Abstract

We examine the modes of a scalar field in de Sitter space and construct quantum two-point functions. These are then used to compute a finite stress tensor by the technique of covariant point-splitting. We propose a renormalization ansatz based on the DeWitt-Schwinger expansion, and show that this removes all am biguities previously present in pointsplitting regularization. The results agree in detail with previous work by dimensional regularization, and give rise to an anomalous trace with the conventional coefficient. We describe how’ our treatment may be extended to more general situations.

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Cites

  • Energy-momentum tensor near an evaporating black hole

    Davies, P. C. W., Fulling, S. A., & Unruh, W. G. (1976) · Physical Review D · doi:10.1103/physrevd.13.2720 · Cited by 389 · cited 1×

    “The la tte r property removes the problems present in our earliest a ttem pts a t point-splitting (Davies et al. 1976) in which ambiguous term s dependent on the splitting vector were simply discarded in a rather ad hoc way.”
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Metadata

Authors
Bunch, T. S., & Davies, P. C. W.
Venue
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
Published
1978-03-21
Volume
360
Issue
1700
Pages
117-134
ISSN
  • 0080-4630 (ISSN-L)
  • 2053-9169
OpenAlex
W2154547793
Cited by
1,246
References
1
FWCI
2.21
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Quantum field theory in de Sitter space: renormalization by point-splitting. https://app.cochat.ai/papers/10.1098/rspa.1978.0060
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Bunch, T. S., & Davies, P. C. W. (1978). Quantum field theory in de Sitter space: renormalization by point-splitting. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1978.0060

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