The application of adiabatic regularization to calculations of cosmological interest
Abstract
It is shown that the method of adiabatic regularization, proposed by Parker & Fulling for the removal of divergences in the vacuum expectation value of the stress tensor of a quantized field propagating in a Robertson-Walker background, is well suited to calculations of cosmological interest. After verifying the equivalence of the adiabatic and point-splitting regularization schemes, both analytical and numerical examples of the use of the former method are given.
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Equation (5.17) reproduces the well known trace anomaly in (1+3)-dimensional FLRW spacetime upon taking b(t) → a(t).
“One can check that (5.17) reproduces the well known trace anomaly in (1 + 3)-dimensional FLRW spacetime [32][33][34] upon taking b(t) → a(t).”
From Stress-energy tensor of a scalar field on a product spacetime with a time-dependent compact dimension (2026) · cites this paper as [32]
The energy-momentum tensor has a non-zero trace within the FLRW limit.
“given that we anticipate a non-zero trace of the energy-momentum tensor within the FLRW limit [32][33][34].”
From Stress-energy tensor of a scalar field on a product spacetime with a time-dependent compact dimension (2026) · cites this paper as [32]
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Paul, A., & Paban, S. (2026) · Journal of High Energy Physics · doi:10.1007/jhep09(2026)188
- Authors
- Birrell, N. D.
- Affiliations
- King's College London (GB)
- Corresponding author
- Birrell, N. D.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1978-06-16
- Volume
- 361
- Issue
- 1707
- Pages
- 513-526
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2006799389
- Cited by
- 80
- References
- 0
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 1 · 2023: 5 · 2022: 3 · 2021: 3 · 2020: 7 · 2019: 3 · 2018: 4 · 2017: 4 · 2016: 1 · 2015: 4 · 2014: 3 · 2013: 2 · 2012: 1
- FWCI
- 5.05
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Proceedings of the Royal Society of London A Mathematical and Physical Sciences (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- adiabatic regularization, point-splitting regularization, quantum field theory in curved spacetime, vacuum expectation value, stress tensor, divergence, quantized fields
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