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Cited by 69Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

Out of equilibrium dynamics of an inflationary phase transition

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Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R.·1997·Physical Review D
DOI 10.1103/physrevd.55.3373
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Abstract

We study the nonlinear dynamics of an inflationary phase transition in a quartically self-coupled inflaton model within the framework of a de Sitter background. Large $N$ and Hartree nonperturbative approximations combined with nonequilibrium field theory methods are used to study the self-consistent time evolution including back reaction effects. We find that when the system cools down from an initial temperature ${T}_{i}>{T}_{c}$ to below ${T}_{c}$ with the initial value of the zero mode of the inflaton $\ensuremath{\varphi}(0)\ensuremath{\ll}m{\ensuremath{\lambda}}^{\ensuremath{-}1/4}$, the dynamics is determined by the growth of long-wavelength quantum fluctuations. For $\ensuremath{\varphi}(0)\ensuremath{\gg}m{\ensuremath{\lambda}}^{\ensuremath{-}1/4}$ the dynamics is determined by the evolution of the classical zero mode. In the regime where spinodal quantum fluctuations give the most important contribution to the nonequilibrium dynamics, we find that they modify the equation of state providing a graceful exit from the inflationary stage. Inflation ends through this new mechanism at a time scale ${t}_{s}>~[{H/m}^{2}]\mathrm{ln}[{\ensuremath{\lambda}}^{\ensuremath{-}1}]$ which for $H>~m$ and very weak coupling allows over one hundred $e$-folds during the de Sitter phase. Spatially correlated domains grow to be of horizon size and quantum fluctuations ``freeze-out'' for times $t>{t}_{s}.$

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  • Ref. [42] provided an effective field theory description of inflation akin to the Landau-Ginzburg description of critical phenomena.

    “Ref. [42] provided an effective field theory description of inflation akin to the Landau-Ginzburg description of critical phenomena.”

    From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [42]

  • Slow roll dynamics can be organized elegantly in a systematic expansion in powers of 1/N_e within a Landau-Ginzburg effective field theory.

    “Slow roll dynamics can be organized elegantly in a systematic expansion in powers of 1 /N e within a Landau-Ginzburg effective field theory.”

    From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [42]

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Authors
Boyanovsky, D., Cormier, D., de Vega, H. J., & Holman, R.
Affiliations
  • University of Pittsburgh (US)
  • Carnegie Mellon University (US)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1997-03-15
Volume
55
Issue
6
Pages
3373-3388
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.55.3373
OpenAlex
W2073105951
Cited by
69
References
37
Citations by year
2026: 1 · 2025: 2 · 2024: 1 · 2020: 2 · 2018: 2 · 2017: 1 · 2016: 1 · 2015: 1 · 2014: 1 · 2013: 4 · 2012: 2
FWCI
8.45
Type
journal article
Language
en
Open access
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)
  • arXiv (Cornell University) (publishedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
U.S. Department of Energy (DEFG0291ER40682)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
non-equilibrium field theory, de Sitter background, Hartree approximation, large-N approximation, backreaction, graceful exit from inflation, equation of state, domain growth, quantum fluctuations

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