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Duality invariance of cosmological perturbation spectra
Open accessAbstract
I show that cosmological perturbation spectra produced from quantum fluctuations in massless or self-interacting scalar fields during an inflationary era remain invariant under a two parameter family of transformations of the homogeneous background fields. This relates slow-roll inflation models to solutions which may be far from the usual slow-roll limit. For example, a scale-invariant spectrum of perturbations in a minimally coupled, massless field can be produced by an exponential expansion with $a\ensuremath{\propto}{e}^{\mathrm{Ht}},$ or by a collapsing universe with $a\ensuremath{\propto}(\ensuremath{-}{t)}^{2/3}.$
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Metadata
- Authors
- Wands, D.
- Affiliations
- University of Portsmouth (GB)
- Corresponding author
- Wands, David
- ORCID
- Wands, David
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1999-06-11
- Volume
- 60
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2111818973
- Cited by
- 365
- References
- 0
- Citations by year
- 2026: 10 · 2025: 20 · 2024: 22 · 2023: 19 · 2022: 9 · 2021: 21 · 2020: 19 · 2019: 16 · 2018: 24 · 2017: 11 · 2016: 25 · 2015: 26 · 2014: 24 · 2013: 13 · 2012: 18
- FWCI
- 1.91
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- duality invariance, inflation (cosmology), quantum fluctuations, scalar field, slow-roll inflation, scale-invariant spectrum, exponential expansion, minimally coupled scalar field, self-interacting scalar field
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