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Quantum field theory in de Sitter space: renormalization by point-splitting
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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Citations
Cites
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“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
- Publisher
- The Royal Society
- 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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