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Cited by 1,789Particle physics theoretical and experimental studiesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories

Fate of the false vacuum. II. First quantum corrections

Callan, Curtis G., Coleman, Sidney·1977·Physical Review D
DOI 10.1103/physrevd.16.1762
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Abstract

It is possible for a classical field theory to have two homogeneous stable equilibrium states with different energy densities. In the quantum version of the theory, the state of higher energy density becomes unstable through barrier penetration. In the first paper in this series, it was argued that the relevant quantity to study was a decay probability per unit time per unit volume, $\frac{\ensuremath{\Gamma}}{V} = A{e}^{\frac{\ensuremath{-}B}{\ensuremath{\hbar}}}[1+O(\ensuremath{\hbar})]$, and the theory of the coefficient $B$ was given. This paper gives the theory of the coefficient $A$.

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Crossref · 10.1103/physrevd.16.1762

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  • O(4)-symmetric saddle points, representing bubbles of true vacuum developing in a false vacuum, are allowed only in the situation of non-degenerate vacua.

    “We note here that O (4)-symmetric saddle points, representing bubbles of true vacuum developing in a false vacuum, are allowed in the situation of non-degenerate vacua only [14, 15]”

    From Double-well instantons in finite volume (2024) · cites this paper as [15]

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Authors
Callan, C. G., & Coleman, S.
Affiliations
  • Princeton University (US)
  • Harvard University (US)
ORCID
Callan, Curtis G.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1977-09-15
Volume
16
Issue
6
Pages
1762-1768
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.16.1762
OpenAlex
W1629285415
Cited by
1,789
References
0
Citations by year
2026: 64 · 2025: 77 · 2024: 111 · 2023: 84 · 2022: 83 · 2021: 76 · 2020: 67 · 2019: 60 · 2018: 68 · 2017: 68 · 2016: 70 · 2015: 48 · 2014: 41 · 2013: 41 · 2012: 46
FWCI
6.29
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
Topics
  • 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
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
Keywords
false vacuum decay, quantum tunneling, barrier penetration, quantum corrections, metastable vacua, classical field theory, vacuum energy density

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