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Nonperturbative quantum dynamics of a new inflation model

D Boyanovsky, D Cormier, H. de Vega, R Holman, Prem Kumar Orcid Logo

Physical Review D, Volume: 57, Issue: 4, Pages: 2166 - 2185

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.57.2166

Abstract

We consider an O(N) model coupled self-consistently to gravity in the semi- classical 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. W...

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Published in: Physical Review D
Published: 1998
URI: https://cronfa.swan.ac.uk/Record/cronfa16120
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spelling 2023-01-30T13:41:20.4562382 v2 16120 2013-09-20 Nonperturbative quantum dynamics of a new inflation model 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We consider an O(N) model coupled self-consistently to gravity in the semi- classical 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 in- flaton 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 dom- inates 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 primor- dial scalar density perturbations. A criterion for the validity of these models is provided and contact with the reconstruction program is established validat- ing 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. Journal Article Physical Review D 57 4 2166 2185 31 12 1998 1998-12-31 10.1103/PhysRevD.57.2166 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2023-01-30T13:41:20.4562382 2013-09-20T10:52:34.2918307 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics D Boyanovsky 1 D Cormier 2 H. de Vega 3 R Holman 4 Prem Kumar 0000-0003-0867-4213 5
title Nonperturbative quantum dynamics of a new inflation model
spellingShingle Nonperturbative quantum dynamics of a new inflation model
Prem Kumar
title_short Nonperturbative quantum dynamics of a new inflation model
title_full Nonperturbative quantum dynamics of a new inflation model
title_fullStr Nonperturbative quantum dynamics of a new inflation model
title_full_unstemmed Nonperturbative quantum dynamics of a new inflation model
title_sort Nonperturbative quantum dynamics of a new inflation model
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 D Boyanovsky
D Cormier
H. de Vega
R Holman
Prem Kumar
format Journal article
container_title Physical Review D
container_volume 57
container_issue 4
container_start_page 2166
publishDate 1998
institution Swansea University
doi_str_mv 10.1103/PhysRevD.57.2166
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description We consider an O(N) model coupled self-consistently to gravity in the semi- classical 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 in- flaton 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 dom- inates 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 primor- dial scalar density perturbations. A criterion for the validity of these models is provided and contact with the reconstruction program is established validat- ing 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.
published_date 1998-12-31T03:18:24Z
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score 10.998093

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