Could the universe have recovered from a slow first-order phase transition?
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As soon as the decay rate per unit spacetime volume Γ of the false vacuum is non-zero, the asymptotic space is not dS.
“As soon as the decay rate per unit space time volume Γ of the false vacuum is non zero, the asymptotic space is not dS.”
From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [72]
There are two critical values of the decay rate, both around H_Λ^4, where H_Λ is the Hubble rate of the would-be de Sitter region.
“There are two critical values of the decay rate [72], both valued around H 4 Λ , with H Λ being the Hubble rate of the would-be de Sitter region.”
From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [72]
When the decay rate is slower than the second critical point, bubbles do not percolate, and the asymptotic spacetime is false vacuum eternal inflation.
“Finally, when the decay rate is even slower than the second critical point, then bubbles do not percolate, and the asymptotic spacetime is the one called 'false vacuum eternal inflation'.”
From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [72]
The precise value of the second critical point is unknown, but it is bounded to be in the range 1.1 × 10^-6 ≤ Γ_1/H_Λ^4 ≤ 0.24.
“The precise value of the second critical point is unknown, but is bounded to be in the range [72] 1.1 × 10 -6 ≤ Γ 1 /H 4 Λ ≤ 0.24.”
From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [72]
If the decay rate lies between the two critical points, bubbles percolate and long chains of bubbles form, connecting arbitrarily distant points in the otherwise dS space.
“If the decay rate lies between these two critical points, then bubbles percolate and long chains of bubbles form, connecting arbitrarily distant point in the otherwise dS space.”
From The cosmological Higgstory of the vacuum instability (2015) · cites this paper as [72]
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Self-citationEternal inflation: The inside story
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Properties of the scale factor measure
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Hearing without seeing: gravitational waves from hot and cold hidden sectors
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Constraints on the scalar-field potential in inflationary models
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The Gravitational-wave physics II: Progress
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Primordial black holes from strong first-order phase transitions
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Self-citation
- Authors
- Guth, A. H., & Weinberg, E. J.
- Affiliations
- Massachusetts Institute of Technology (US)
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1983-02
- Volume
- 212
- Issue
- 2
- Pages
- 321-364
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2069871288
- Cited by
- 576
- References
- 44
- Citations by year
- 2026: 14 · 2025: 13 · 2024: 27 · 2023: 21 · 2022: 10 · 2021: 19 · 2020: 19 · 2019: 13 · 2018: 6 · 2017: 10 · 2016: 12 · 2015: 11 · 2014: 11 · 2013: 11 · 2012: 19
- FWCI
- 26.16
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- first-order phase transition, bubble nucleation, quantum tunneling, bubble clusters, Higgs potential, inflation (cosmology)
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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