Quantum stress tensor fluctuations of a conformal field and inflationary cosmology

L. H. Ford, Shun-Pei Miao, Kin Wang Ng, R. P. Woodard, Chun Hsien Wu

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We discuss the additional perturbation introduced during inflation by quantum stress tensor fluctuations of a conformally invariant field such as the photon. We consider both a kinematical model, which deals only with the expansion fluctuations of geodesics, and a dynamical model which treats the coupling of the stress tensor fluctuations to a scalar inflaton. In neither model do we find any growth at late times, in accordance with a theorem due to Weinberg. What we find instead is a correction which becomes larger the earlier one starts inflation. This correction is non-Gaussian and highly scale dependent, so the absence of such effects from the observed power spectra may imply a constraint on the total duration of inflation. We discuss different views about the validity of perturbation theory at very early times during which currently observable modes are trans-Planckian.

Original languageEnglish
Article number043501
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number4
DOIs
Publication statusPublished - 2010 Aug 4

Fingerprint

stress tensors
cosmology
power spectra
theorems
perturbation theory
scalars
perturbation
expansion
photons

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

@article{004b6d81021f47a488017b4c394d48a2,
title = "Quantum stress tensor fluctuations of a conformal field and inflationary cosmology",
abstract = "We discuss the additional perturbation introduced during inflation by quantum stress tensor fluctuations of a conformally invariant field such as the photon. We consider both a kinematical model, which deals only with the expansion fluctuations of geodesics, and a dynamical model which treats the coupling of the stress tensor fluctuations to a scalar inflaton. In neither model do we find any growth at late times, in accordance with a theorem due to Weinberg. What we find instead is a correction which becomes larger the earlier one starts inflation. This correction is non-Gaussian and highly scale dependent, so the absence of such effects from the observed power spectra may imply a constraint on the total duration of inflation. We discuss different views about the validity of perturbation theory at very early times during which currently observable modes are trans-Planckian.",
author = "Ford, {L. H.} and Shun-Pei Miao and Ng, {Kin Wang} and Woodard, {R. P.} and Wu, {Chun Hsien}",
year = "2010",
month = "8",
day = "4",
doi = "10.1103/PhysRevD.82.043501",
language = "English",
volume = "82",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Physical Society",
number = "4",

}

Quantum stress tensor fluctuations of a conformal field and inflationary cosmology. / Ford, L. H.; Miao, Shun-Pei; Ng, Kin Wang; Woodard, R. P.; Wu, Chun Hsien.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 82, No. 4, 043501, 04.08.2010.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Quantum stress tensor fluctuations of a conformal field and inflationary cosmology

AU - Ford, L. H.

AU - Miao, Shun-Pei

AU - Ng, Kin Wang

AU - Woodard, R. P.

AU - Wu, Chun Hsien

PY - 2010/8/4

Y1 - 2010/8/4

N2 - We discuss the additional perturbation introduced during inflation by quantum stress tensor fluctuations of a conformally invariant field such as the photon. We consider both a kinematical model, which deals only with the expansion fluctuations of geodesics, and a dynamical model which treats the coupling of the stress tensor fluctuations to a scalar inflaton. In neither model do we find any growth at late times, in accordance with a theorem due to Weinberg. What we find instead is a correction which becomes larger the earlier one starts inflation. This correction is non-Gaussian and highly scale dependent, so the absence of such effects from the observed power spectra may imply a constraint on the total duration of inflation. We discuss different views about the validity of perturbation theory at very early times during which currently observable modes are trans-Planckian.

AB - We discuss the additional perturbation introduced during inflation by quantum stress tensor fluctuations of a conformally invariant field such as the photon. We consider both a kinematical model, which deals only with the expansion fluctuations of geodesics, and a dynamical model which treats the coupling of the stress tensor fluctuations to a scalar inflaton. In neither model do we find any growth at late times, in accordance with a theorem due to Weinberg. What we find instead is a correction which becomes larger the earlier one starts inflation. This correction is non-Gaussian and highly scale dependent, so the absence of such effects from the observed power spectra may imply a constraint on the total duration of inflation. We discuss different views about the validity of perturbation theory at very early times during which currently observable modes are trans-Planckian.

UR - http://www.scopus.com/inward/record.url?scp=77956894047&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956894047&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.82.043501

DO - 10.1103/PhysRevD.82.043501

M3 - Article

VL - 82

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 4

M1 - 043501

ER -