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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
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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Cited by
Towards a derivation of holographic entanglement entropy
Casini, H., Huerta, M., & Myers, R. C. (2011) · Journal of High Energy Physics · doi:10.1007/jhep05(2011)036 · Cited by 1,347
Birth of inflationary universes
Vilenkin, A. (1983) · Physical Review D · doi:10.1103/physrevd.27.2848 · Cited by 998
Equilibrium state of a self-interacting scalar field in the de Sitter background
Starobinsky, A. A., & Yokoyama, J. (1994) · Physical Review D · doi:10.1103/physrevd.50.6357 · Cited by 809
Twenty years of the Weyl anomaly
Duff, M. J. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/6/004 · Cited by 785
From the big bang theory to the theory of a stationary universe
Linde, A., Linde, D., & Mezhlumian, A. (1994) · Physical Review D · doi:10.1103/physrevd.49.1783 · Cited by 542
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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- 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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