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Title: Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects

Abstract

We present a detailed and systematic analysis of the nonperturbative, nonequilibrium dynamics of a quantum field in the reheating phase of inflationary cosmology, including full back reactions of the quantum field on the curved spacetime, as well as the fluctuations on the mean field. We use the O(N) field theory with unbroken symmetry in a spatially flat Friedmann-Robertson-Walker (FRW) universe to study the dynamics of the inflaton in the post-inflation, preheating stage. Oscillations of the inflaton{close_quote}s zero mode induce parametric amplification of quantum fluctuations, resulting in a rapid transfer of energy to the inhomogeneous modes of the inflaton field. The large-amplitude oscillations of the mean field, as well as stimulated emission effects require a nonperturbative formulation of the quantum dynamics, while the nonequilibrium evolution requires a statistical field theory treatment. We adopt the coupled nonperturbative equations for the mean field and variance derived in a preceding paper [S. A. Ramsey and B. L. Hu, this issue, Phys. Rev. D {bold 56}, 661 (1997)] by means of a two-particle-irreducible (2PI), closed-time-path (CTP) effective action for curved spacetimes while specialized to a dynamical FRW background, up to leading order in the 1/N expansion. Adiabatic regularization is employed to yield a covariantly conserved,more » renormalized energy-momentum tensor. The renormalized dynamical equations are evolved numerically from initial data which are generic to the end state of slow roll in many inflationary cosmological scenarios. The initial conditions consist of a large-amplitude, quasiclassical, oscillating mean field {l_angle}{Phi}{r_angle} with variance {l_angle}{Phi}{sup 2}{r_angle}{minus}{l_angle}{Phi}{r_angle}{sup 2} around the de Sitter-invariant vacuum. (Abstract Truncated)« less

Authors:
;  [1]
  1. Department of Physics, University of Maryland, College Park, Maryland 20742-4111 (United States)
Publication Date:
OSTI Identifier:
527071
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 56; Journal Issue: 2; Other Information: PBD: Jul 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; INFLATIONARY UNIVERSE; DYNAMICS; COSMOLOGY; AXIOMATIC FIELD THEORY; PARTICLE PRODUCTION; FLUCTUATIONS; O GROUPS; QUANTUM FIELD THEORY; OSCILLATIONS; MEAN-FIELD THEORY; ENERGY-MOMENTUM TENSOR; SPACE-TIME

Citation Formats

Ramsey, S A, and Hu, B L. Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects. United States: N. p., 1997. Web. doi:10.1103/PhysRevD.56.678.
Ramsey, S A, & Hu, B L. Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects. United States. doi:10.1103/PhysRevD.56.678.
Ramsey, S A, and Hu, B L. Tue . "Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects". United States. doi:10.1103/PhysRevD.56.678.
@article{osti_527071,
title = {Nonequilibrium inflaton dynamics and reheating: Back reaction of parametric particle creation and curved spacetime effects},
author = {Ramsey, S A and Hu, B L},
abstractNote = {We present a detailed and systematic analysis of the nonperturbative, nonequilibrium dynamics of a quantum field in the reheating phase of inflationary cosmology, including full back reactions of the quantum field on the curved spacetime, as well as the fluctuations on the mean field. We use the O(N) field theory with unbroken symmetry in a spatially flat Friedmann-Robertson-Walker (FRW) universe to study the dynamics of the inflaton in the post-inflation, preheating stage. Oscillations of the inflaton{close_quote}s zero mode induce parametric amplification of quantum fluctuations, resulting in a rapid transfer of energy to the inhomogeneous modes of the inflaton field. The large-amplitude oscillations of the mean field, as well as stimulated emission effects require a nonperturbative formulation of the quantum dynamics, while the nonequilibrium evolution requires a statistical field theory treatment. We adopt the coupled nonperturbative equations for the mean field and variance derived in a preceding paper [S. A. Ramsey and B. L. Hu, this issue, Phys. Rev. D {bold 56}, 661 (1997)] by means of a two-particle-irreducible (2PI), closed-time-path (CTP) effective action for curved spacetimes while specialized to a dynamical FRW background, up to leading order in the 1/N expansion. Adiabatic regularization is employed to yield a covariantly conserved, renormalized energy-momentum tensor. The renormalized dynamical equations are evolved numerically from initial data which are generic to the end state of slow roll in many inflationary cosmological scenarios. The initial conditions consist of a large-amplitude, quasiclassical, oscillating mean field {l_angle}{Phi}{r_angle} with variance {l_angle}{Phi}{sup 2}{r_angle}{minus}{l_angle}{Phi}{r_angle}{sup 2} around the de Sitter-invariant vacuum. (Abstract Truncated)},
doi = {10.1103/PhysRevD.56.678},
journal = {Physical Review, D},
number = 2,
volume = 56,
place = {United States},
year = {1997},
month = {7}
}