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Classical Gravitational Observables from the Eikonal Operator

We propose two possible eikonal operators encoding the effects of classical radiation as coherent states of gravitons and show how to compute from them different classical observables. In the first proposal, only genuinely propagating gravitons are included, while, in the second, zero-frequency mode...

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Autores principales: Di Vecchia, Paolo, Heissenberg, Carlo, Russo, Rodolfo, Veneziano, Gabriele
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2023.138049
http://cds.cern.ch/record/2838304
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author Di Vecchia, Paolo
Heissenberg, Carlo
Russo, Rodolfo
Veneziano, Gabriele
author_facet Di Vecchia, Paolo
Heissenberg, Carlo
Russo, Rodolfo
Veneziano, Gabriele
author_sort Di Vecchia, Paolo
collection CERN
description We propose two possible eikonal operators encoding the effects of classical radiation as coherent states of gravitons and show how to compute from them different classical observables. In the first proposal, only genuinely propagating gravitons are included, while, in the second, zero-frequency modes are added in order to recover the effects of a static gravitational field. We first calculate the radiated energy-momentum and the change in each particle's momentum, or impulse, to 3PM order finding agreement with the literature. We then calculate the angular momentum of the gravitational field after the collision. In order to do so, we adapt the method of reverse unitarity to the presence of derivatives in the operators describing the angular momentum and reproduce the result of [1] obtained by resumming the small-velocity expansion. As a new application, we derive also the variation in each particle's angular momentum up to 3PM: calculating separately field and particle contributions allows us to check the balance laws explicitly. We also show how the eikonal operator encodes the linear-response formula of Bini-Damour by deriving the linear radiation-reaction contribution to the transverse impulse at 4PM.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
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spelling cern-28383042023-08-11T04:07:43Zdoi:10.1016/j.physletb.2023.138049http://cds.cern.ch/record/2838304engDi Vecchia, PaoloHeissenberg, CarloRusso, RodolfoVeneziano, GabrieleClassical Gravitational Observables from the Eikonal Operatorhep-phParticle Physics - Phenomenologygr-qcGeneral Relativity and Cosmologyhep-thParticle Physics - TheoryWe propose two possible eikonal operators encoding the effects of classical radiation as coherent states of gravitons and show how to compute from them different classical observables. In the first proposal, only genuinely propagating gravitons are included, while, in the second, zero-frequency modes are added in order to recover the effects of a static gravitational field. We first calculate the radiated energy-momentum and the change in each particle's momentum, or impulse, to 3PM order finding agreement with the literature. We then calculate the angular momentum of the gravitational field after the collision. In order to do so, we adapt the method of reverse unitarity to the presence of derivatives in the operators describing the angular momentum and reproduce the result of [1] obtained by resumming the small-velocity expansion. As a new application, we derive also the variation in each particle's angular momentum up to 3PM: calculating separately field and particle contributions allows us to check the balance laws explicitly. We also show how the eikonal operator encodes the linear-response formula of Bini-Damour by deriving the linear radiation-reaction contribution to the transverse impulse at 4PM.We propose two possible eikonal operators encoding the effects of classical radiation as coherent states of gravitons and show how to compute from them different classical observables. In the first proposal, only genuinely propagating gravitons are included, while, in the second, zero-frequency modes are added in order to recover the effects of a static gravitational field. We first calculate the radiated energy-momentum and the change in each particle's momentum, or impulse, to 3PM order finding agreement with the literature. We then calculate the angular momentum of the gravitational field after the collision. In order to do so, we adapt the method of reverse unitarity to the presence of derivatives in the operators describing the angular momentum and reproduce the result of~\cite{Manohar:2022dea} obtained by resumming the small-velocity expansion. As a new application, we derive also the variation in each particle's angular momentum up to 3PM: calculating separately field and particle contributions allows us to check the balance laws explicitly. We also show how the eikonal operator encodes the linear-response formula of Bini-Damour by deriving the linear radiation-reaction contribution to the transverse impulse at 4PM.arXiv:2210.12118CERN-TH-2022-169NORDITA 2022-071QMUL-PH-22-32UUITP-42/22oai:cds.cern.ch:28383042022-10-21
spellingShingle hep-ph
Particle Physics - Phenomenology
gr-qc
General Relativity and Cosmology
hep-th
Particle Physics - Theory
Di Vecchia, Paolo
Heissenberg, Carlo
Russo, Rodolfo
Veneziano, Gabriele
Classical Gravitational Observables from the Eikonal Operator
title Classical Gravitational Observables from the Eikonal Operator
title_full Classical Gravitational Observables from the Eikonal Operator
title_fullStr Classical Gravitational Observables from the Eikonal Operator
title_full_unstemmed Classical Gravitational Observables from the Eikonal Operator
title_short Classical Gravitational Observables from the Eikonal Operator
title_sort classical gravitational observables from the eikonal operator
topic hep-ph
Particle Physics - Phenomenology
gr-qc
General Relativity and Cosmology
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2023.138049
http://cds.cern.ch/record/2838304
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