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Out of Equilibrium Dynamics of an Inflationary Phase Transition
High Energy Physics - Phenomenology · Submitted 17 Oct 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In the regime where spinodal quantum fluctuations give the most important contribution to the non-equilibrium dynamics, we find that they modify the equation of state providing a graceful exit from the inflationary stage.
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We study the non-linear 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 non-perturbative approximations combined with non-equilibrium field theory methods are used to study the self-consistent time evolution including backreaction 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 phi(0) << m lambda^{-1/4}, the dynamics is determined by the growth of long-wavelength quantum fluctuations. For phi(0) >> m lambda^{-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 non-equilibrium 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]ln[lambda^{-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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the non-linear dynamics of an inflationary phase transition in a quartically self coupled inflaton model within the framework of a de Sitter background. | contribution 0.95 | 0.89 | 0.03 | asserted 0.89 |
| s1 | Large N and Hartree non-perturbative approximations combined with non-equilibrium field theory methods are used to study the self-consistent time evolution including backreaction effects. | method 1.00 | 0.80 | 0.04 | asserted 0.97 |
| s2 | 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 phi(0) << m lambda^{-1/4}, the dynamics is determined by the growth of long-wavelength quantum fluctuations. | result 1.00 | 0.92 | 0.13 | asserted 1.00 |
| s3 | For phi(0) >> m lambda^{-1/4} the dynamics is determined by the evolution of the classical zero mode. | result 1.00 | 0.75 | 0.07 | asserted 1.00 |
| s4 | In the regime where spinodal quantum fluctuations give the most important contribution to the non-equilibrium dynamics, we find that they modify the equation of state providing a graceful exit from the inflationary stage. | result 0.97 | 0.96 | 0.38 | asserted 1.00 |
| s5 | Inflation ends through this new mechanism at a time scale t_s >= [H/m^2]ln[lambda^{-1}] which for H >= m and very weak coupling allows over one hundred e-folds during the de Sitter phase. | result 0.99 | 0.92 | 0.45 | asserted 0.98 |
| s6 | Spatially correlated domains grow to be of horizon-size and quantum fluctuations ``freeze-out'' for times t> t_s. | result 0.98 | 0.88 | 0.17 | asserted 1.00 |
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Original abstract
We study the non-linear 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 non-perturbative approximations combined with non-equilibrium field theory methods are used to study the self-consistent time evolution including backreaction 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 phi(0) << m lambda^{-1/4}, the dynamics is determined by the growth of long-wavelength quantum fluctuations. For phi(0) >> m lambda^{-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 non-equilibrium 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]ln[lambda^{-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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How the literature uses it
6 arXiv papers cite this in 10 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 4 papers
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In previous studies in de Sitter spacetime [ref] , the swiftness of the transition is justified by an abrupt change in the temperature of the system, which induces a sudden change in the model parameters.
Non-linear effects in early Universe cosmology · Quantum quenches in de Sitter · 0.91
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In previous studies in de Sitter spacetime [ref] , the swiftness of the transition is justified by an abrupt change in the temperature of the system, which induces a sudden change in the model parameters.
Quantum quenches during inflation · Quantum quenches in de Sitter · 0.91
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The analytic study of parametric resonance has been developed using simple power-law chaotic potentials in the pioneering works in [ref] (See also, [ref] ).
Potential Surge Preheating: enhanced resonance from potential features · Parametric resonance · 0.97
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