1998
DOI: 10.1103/physrevd.57.6398
|View full text |Cite
|
Sign up to set email alerts
|

Choice of initial states in nonequilibrium dynamics

Abstract: Imposing initial conditions to nonequilibrium systems at some time t 0 leads, in renormalized quantum field theory, to the appearance of singularities in the variable t−t 0 in relevant physical quantities, such as energy density and pressure. These "initial singularities" can be traced back to the choice of initial state. We construct here, by a Bogoliubov transformation, initial states such that these singularities are eliminated. While the construction is not unique it can be considered a minimal way of taki… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

6
130
0

Year Published

1998
1998
2023
2023

Publication Types

Select...
10

Relationship

2
8

Authors

Journals

citations
Cited by 58 publications
(136 citation statements)
references
References 32 publications
6
130
0
Order By: Relevance
“…At any rate, as soon as we assume as initial conditionsG that indeed diverges with the cutoff when t 0. These initial time singularities have first been discussed in [36] and removed by a Bogoliubov transformation on the initial state, which in practice amounts to a redefinition of the initial kernel in such a way that the leading terms of a highmomentum expansion are the same as at equilibrium Calculating the free correlation function we easily can check that the mean-field expression in the last of Eqs. (3.48) is free of divergences, except for the one at t 0, which is given by Eq.…”
Section: Other Initial States and Nonzero Temperaturesmentioning
confidence: 99%
“…At any rate, as soon as we assume as initial conditionsG that indeed diverges with the cutoff when t 0. These initial time singularities have first been discussed in [36] and removed by a Bogoliubov transformation on the initial state, which in practice amounts to a redefinition of the initial kernel in such a way that the leading terms of a highmomentum expansion are the same as at equilibrium Calculating the free correlation function we easily can check that the mean-field expression in the last of Eqs. (3.48) is free of divergences, except for the one at t 0, which is given by Eq.…”
Section: Other Initial States and Nonzero Temperaturesmentioning
confidence: 99%
“…Nonequilibrium quantum field theory has seen a tremendous progress, after seminal publications in the 1980's [38], mainly in the last decade [20,39,40,41,42,45,46]. The main ingredient, besides the CTP formalism itself, are various approximations based on variational principles.…”
Section: Effective Action a Quantum Fluctuations And Their Non-mentioning
confidence: 99%
“…During the oscillations of the background fields φ and N, particles can be produced by parametric resonance (preheating) [23,24,25] much before the inflaton has time to decay perturbatively, being this in general a more efficient mechanism of particle production than standard perturbative decay.…”
Section: Preheating/reheatingmentioning
confidence: 99%