Infrared propagator corrections for constant deceleration

T. M. Janssen, Shun-Pei Miao, T. Prokopec, R. P. Woodard

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

We derive the propagator for a massless, minimally coupled scalar on a D-dimensional, spatially flat, homogeneous and isotropic background with arbitrary constant deceleration parameter. Our construction uses the operator formalism by integrating the Fourier mode sum. We give special attention to infrared corrections from the nonzero lower limit associated with working on finite spatial sections. These corrections eliminate infrared divergences that would otherwise be incorrectly treated by dimensional regularization, resulting in off-coincidence divergences for those special values of the deceleration parameter at which the infrared divergence is logarithmic. As an application we compute the expectation value of the scalar stress-energy tensor.

Original languageEnglish
Article number245013
JournalClassical and Quantum Gravity
Volume25
Issue number24
DOIs
Publication statusPublished - 2008 Dec 1

Fingerprint

deceleration
divergence
propagation
scalars
tensors
formalism
operators
energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Janssen, T. M. ; Miao, Shun-Pei ; Prokopec, T. ; Woodard, R. P. / Infrared propagator corrections for constant deceleration. In: Classical and Quantum Gravity. 2008 ; Vol. 25, No. 24.
@article{623258ba3e724b8a9da2ec8688e3320c,
title = "Infrared propagator corrections for constant deceleration",
abstract = "We derive the propagator for a massless, minimally coupled scalar on a D-dimensional, spatially flat, homogeneous and isotropic background with arbitrary constant deceleration parameter. Our construction uses the operator formalism by integrating the Fourier mode sum. We give special attention to infrared corrections from the nonzero lower limit associated with working on finite spatial sections. These corrections eliminate infrared divergences that would otherwise be incorrectly treated by dimensional regularization, resulting in off-coincidence divergences for those special values of the deceleration parameter at which the infrared divergence is logarithmic. As an application we compute the expectation value of the scalar stress-energy tensor.",
author = "Janssen, {T. M.} and Shun-Pei Miao and T. Prokopec and Woodard, {R. P.}",
year = "2008",
month = "12",
day = "1",
doi = "10.1088/0264-9381/25/24/245013",
language = "English",
volume = "25",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "24",

}

Infrared propagator corrections for constant deceleration. / Janssen, T. M.; Miao, Shun-Pei; Prokopec, T.; Woodard, R. P.

In: Classical and Quantum Gravity, Vol. 25, No. 24, 245013, 01.12.2008.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Infrared propagator corrections for constant deceleration

AU - Janssen, T. M.

AU - Miao, Shun-Pei

AU - Prokopec, T.

AU - Woodard, R. P.

PY - 2008/12/1

Y1 - 2008/12/1

N2 - We derive the propagator for a massless, minimally coupled scalar on a D-dimensional, spatially flat, homogeneous and isotropic background with arbitrary constant deceleration parameter. Our construction uses the operator formalism by integrating the Fourier mode sum. We give special attention to infrared corrections from the nonzero lower limit associated with working on finite spatial sections. These corrections eliminate infrared divergences that would otherwise be incorrectly treated by dimensional regularization, resulting in off-coincidence divergences for those special values of the deceleration parameter at which the infrared divergence is logarithmic. As an application we compute the expectation value of the scalar stress-energy tensor.

AB - We derive the propagator for a massless, minimally coupled scalar on a D-dimensional, spatially flat, homogeneous and isotropic background with arbitrary constant deceleration parameter. Our construction uses the operator formalism by integrating the Fourier mode sum. We give special attention to infrared corrections from the nonzero lower limit associated with working on finite spatial sections. These corrections eliminate infrared divergences that would otherwise be incorrectly treated by dimensional regularization, resulting in off-coincidence divergences for those special values of the deceleration parameter at which the infrared divergence is logarithmic. As an application we compute the expectation value of the scalar stress-energy tensor.

UR - http://www.scopus.com/inward/record.url?scp=67649784013&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67649784013&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/25/24/245013

DO - 10.1088/0264-9381/25/24/245013

M3 - Article

VL - 25

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 24

M1 - 245013

ER -