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Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime

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Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime. / Gibbons, Jos; Higuchi, Atsushi; Lima, William C. C.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 103, No. 06, 065016, 29.03.2021.

Research output: Contribution to journalArticlepeer-review

Harvard

Gibbons, J, Higuchi, A & Lima, WCC 2021, 'Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 103, no. 06, 065016. https://doi.org/10.1103/PhysRevD.103.065016

APA

Gibbons, J., Higuchi, A., & Lima, W. C. C. (2021). Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime. Physical Review D - Particles, Fields, Gravitation and Cosmology, 103(06), [065016]. https://doi.org/10.1103/PhysRevD.103.065016

Vancouver

Gibbons J, Higuchi A, Lima WCC. Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2021 Mar 29;103(06). 065016. https://doi.org/10.1103/PhysRevD.103.065016

Author

Gibbons, Jos ; Higuchi, Atsushi ; Lima, William C. C. / Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2021 ; Vol. 103, No. 06.

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@article{e891691f1cb244b9ad8cb12a7b7c9d41,
title = "Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime",
abstract = "The propagators for the Faddeev-Popov (FP) ghosts in Yang-Mills theory and perturbative gravity in the covariant gauge are infrared (IR) divergent in de Sitter spacetime. An IR cutoff in the momentum space to regularize these divergences breaks the de Sitter invariance. These IR divergences are due to the spatially constant modes in the Yang-Mills case and the modes proportional to the Killing vectors in the case of perturbative gravity. It has been proposed that these IR divergences can be removed, with the de Sitter invariance preserved, by first regularizing them with an additional mass term for the FP ghosts and then taking the massless limit. In the Yang-Mills case, this procedure has been shown to correspond to requiring that the physical states, and the vacuum state in particular, be annihilated by some conserved charges in the Landau gauge. In this paper we show that there are similar conserved charges in perturbative gravity in the covariant Landau gauge in de Sitter spacetime and that the IR-regularization procedure described above also correspond to requiring that the vacuum state be annihilated by these charges with a natural denition of the interacting vacuum state.",
keywords = "Quantum gravity, Faddeev-Popov ghost, Infrared, Zero modes, de Sitter spacetime",
author = "Jos Gibbons and Atsushi Higuchi and Lima, {William C. C.}",
note = "{\textcopyright} 2021 American Physical Society.This is an author-produced version of the published paper. Uploaded in accordance with the publisher{\textquoteright}s self-archiving policy. Further copying may not be permitted; contact the publisher for details. ",
year = "2021",
month = mar,
day = "29",
doi = "10.1103/PhysRevD.103.065016",
language = "English",
volume = "103",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",
number = "06",

}

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TY - JOUR

T1 - Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime

AU - Gibbons, Jos

AU - Higuchi, Atsushi

AU - Lima, William C. C.

N1 - © 2021 American Physical Society.This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

PY - 2021/3/29

Y1 - 2021/3/29

N2 - The propagators for the Faddeev-Popov (FP) ghosts in Yang-Mills theory and perturbative gravity in the covariant gauge are infrared (IR) divergent in de Sitter spacetime. An IR cutoff in the momentum space to regularize these divergences breaks the de Sitter invariance. These IR divergences are due to the spatially constant modes in the Yang-Mills case and the modes proportional to the Killing vectors in the case of perturbative gravity. It has been proposed that these IR divergences can be removed, with the de Sitter invariance preserved, by first regularizing them with an additional mass term for the FP ghosts and then taking the massless limit. In the Yang-Mills case, this procedure has been shown to correspond to requiring that the physical states, and the vacuum state in particular, be annihilated by some conserved charges in the Landau gauge. In this paper we show that there are similar conserved charges in perturbative gravity in the covariant Landau gauge in de Sitter spacetime and that the IR-regularization procedure described above also correspond to requiring that the vacuum state be annihilated by these charges with a natural denition of the interacting vacuum state.

AB - The propagators for the Faddeev-Popov (FP) ghosts in Yang-Mills theory and perturbative gravity in the covariant gauge are infrared (IR) divergent in de Sitter spacetime. An IR cutoff in the momentum space to regularize these divergences breaks the de Sitter invariance. These IR divergences are due to the spatially constant modes in the Yang-Mills case and the modes proportional to the Killing vectors in the case of perturbative gravity. It has been proposed that these IR divergences can be removed, with the de Sitter invariance preserved, by first regularizing them with an additional mass term for the FP ghosts and then taking the massless limit. In the Yang-Mills case, this procedure has been shown to correspond to requiring that the physical states, and the vacuum state in particular, be annihilated by some conserved charges in the Landau gauge. In this paper we show that there are similar conserved charges in perturbative gravity in the covariant Landau gauge in de Sitter spacetime and that the IR-regularization procedure described above also correspond to requiring that the vacuum state be annihilated by these charges with a natural denition of the interacting vacuum state.

KW - Quantum gravity

KW - Faddeev-Popov ghost

KW - Infrared

KW - Zero modes

KW - de Sitter spacetime

U2 - 10.1103/PhysRevD.103.065016

DO - 10.1103/PhysRevD.103.065016

M3 - Article

VL - 103

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 06

M1 - 065016

ER -