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Cited by 86Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

Nonperturbative quantum dynamics of a new inflation model

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Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R., Kumar, S. P.·1998·Physical Review D
DOI 10.1103/physrevd.57.2166
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Abstract

We consider an $O(N)$ model coupled self-consistently to gravity in the semiclassical approximation, where the field is subject to ``new inflation'' type initial conditions. We study the dynamics self-consistently and non-perturbatively with non-equilibrium field theory methods in the large $N$ limit. We find that spinodal instabilities drive the growth of non-perturbatively large quantum fluctuations which shut off the inflationary growth of the scale factor. We find that a very specific combination of these large fluctuations plus the inflaton zero mode assemble into a new effective field. This new field behaves classically and it is the object which actually rolls down. We show how this reinterpretation saves the standard picture of how metric perturbations are generated during inflation and that the spinodal growth of fluctuations dominates the time dependence of the Bardeen variable for superhorizon modes during inflation. We compute the amplitude and index for the spectrum of scalar density and tensor perturbations and argue that in all models of this type the spinodal instabilities are responsible for a ``red'' spectrum of primordial scalar density perturbations. A criterion for the validity of these models is provided and contact with the reconstruction program is established validating some of the results within a non-perturbative framework. The decoherence aspects and the quantum to classical transition through inflation are studied in detail by following the full evolution of the density matrix and relating the classicality of cosmological perturbations to that of long-wavelength matter fluctuations.

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Crossref · 10.1103/physrevd.57.2166

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  • 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 [43]

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Related

Authors
Boyanovsky, D., Cormier, D., de Vega, H. J., Holman, R., & Kumar, S. P.
Affiliations
  • University of Pittsburgh (US)
  • Carnegie Mellon University (US)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1998-02-15
Volume
57
Issue
4
Pages
2166-2185
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.57.2166
OpenAlex
W2039469055
Cited by
86
References
47
Citations by year
2026: 4 · 2020: 1 · 2018: 1 · 2017: 1 · 2015: 4 · 2014: 1 · 2013: 2 · 2012: 1
FWCI
8.41
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) (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 › 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
new inflation, O(N) model, semiclassical approximation, large N limit, spinodal instability, quantum fluctuations, metric perturbations, red spectrum, tensor perturbations, decoherence, quantum-to-classical transition, density matrix, cosmological perturbations

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