Abstract
We develop a Lagrangian approach based on the influence functional method so as to derive self-consistently the Langevin equation for the inflaton field in the presence of trapping points along the inflaton trajectory. The Langevin equation exhibits the backreaction and the fluctuation-dissipation relation of the trapping. The fluctuation is induced by a multiplicative colored noise that can be identified as the particle number density fluctuations; and the dissipation is a new effect that may play a role in the trapping with a strong coupling. In the weak coupling regime, we calculate the power spectrum of the noise-driven inflaton fluctuations for a single trapping point and studied its variation with the trapping location. We also consider a case with closely spaced trapping points and find that the resulting power spectrum is blue.
| Original language | English |
|---|---|
| Article number | 063527 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 84 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2011 Sep 30 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
Trapping effects on inflation. / Lee, Wo-Lung; Ng, Kin Wang; Wang, I. Chin; Wu, Chun Hsien.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 84, No. 6, 063527, 30.09.2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Trapping effects on inflation
AU - Lee, Wo-Lung
AU - Ng, Kin Wang
AU - Wang, I. Chin
AU - Wu, Chun Hsien
PY - 2011/9/30
Y1 - 2011/9/30
N2 - We develop a Lagrangian approach based on the influence functional method so as to derive self-consistently the Langevin equation for the inflaton field in the presence of trapping points along the inflaton trajectory. The Langevin equation exhibits the backreaction and the fluctuation-dissipation relation of the trapping. The fluctuation is induced by a multiplicative colored noise that can be identified as the particle number density fluctuations; and the dissipation is a new effect that may play a role in the trapping with a strong coupling. In the weak coupling regime, we calculate the power spectrum of the noise-driven inflaton fluctuations for a single trapping point and studied its variation with the trapping location. We also consider a case with closely spaced trapping points and find that the resulting power spectrum is blue.
AB - We develop a Lagrangian approach based on the influence functional method so as to derive self-consistently the Langevin equation for the inflaton field in the presence of trapping points along the inflaton trajectory. The Langevin equation exhibits the backreaction and the fluctuation-dissipation relation of the trapping. The fluctuation is induced by a multiplicative colored noise that can be identified as the particle number density fluctuations; and the dissipation is a new effect that may play a role in the trapping with a strong coupling. In the weak coupling regime, we calculate the power spectrum of the noise-driven inflaton fluctuations for a single trapping point and studied its variation with the trapping location. We also consider a case with closely spaced trapping points and find that the resulting power spectrum is blue.
UR - http://www.scopus.com/inward/record.url?scp=80053919871&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80053919871&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.84.063527
DO - 10.1103/PhysRevD.84.063527
M3 - Article
VL - 84
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 6
M1 - 063527
ER -