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Non-Perturbative Quantum Dynamics of a New Inflation Model
High Energy Physics - Phenomenology · Submitted 3 Sep 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that spinodal instabilities drive the growth of non-perturbatively large quantum fluctuations which shut off the inflationary growth of the scale factor.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | method 0.44 | 0.61 | 0.02 | asserted 0.81 |
| s1 | We study the dynamics self-consistently and non-perturbatively with non-equilibrium field theory methods in the large N limit. | method 0.85 | 0.92 | 0.04 | asserted 0.86 |
| s2 | We find that spinodal instabilities drive the growth of non-perturbatively large quantum fluctuations which shut off the inflationary growth of the scale factor. | result 1.00 | 0.95 | 0.44 | asserted 1.00 |
| s3 | We find that a very specific combination of these large fluctuations plus the inflaton zero mode assemble into a new effective field. | result 0.96 | 0.94 | 0.16 | asserted 1.00 |
| s4 | This new field behaves classically and it is the object which actually rolls down. | result 0.55 | 0.85 | 0.17 | asserted 1.00 |
| s5 | 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. | result 0.53 | 0.93 | 0.20 | asserted 1.00 |
| s6 | 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. | result 0.96 | 0.95 | 0.29 | asserted 0.76 |
| s7 | 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. | contribution 0.81 | 0.88 | 0.07 | asserted 0.99 |
| s8 | 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. | contribution 0.94 | 0.94 | 0.08 | asserted 1.00 |
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The paper
Original 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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References
How the literature uses it
3 arXiv papers cite this in 5 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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We find that spinodal instabilities drive the growth of non-perturbatively large quantum fluctuations which shut off inflation.
Out of Equilibrium Fields in Inflationary Dynamics. Density Fluctuations · 0.94
Papers citing it · 1 sentence without a confident label
Cites it as background 3 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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However, they have found various applications to inflationary correlation functions [ref] .
The \delta N formula is the dynamical renormalization group · The dynamical renormalization group · 0.85
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