Classical gravitational observables from the Eikonal operator

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Classical gravitational observables from the Eikonal operator. / Di Vecchia, Paolo; Heissenberg, Carlo; Russo, Rodolfo; Veneziano, Gabriele.

I: Physics Letters B, Bind 843, 138049, 10.08.2023.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Di Vecchia, P, Heissenberg, C, Russo, R & Veneziano, G 2023, 'Classical gravitational observables from the Eikonal operator', Physics Letters B, bind 843, 138049. https://doi.org/10.1016/j.physletb.2023.138049

APA

Di Vecchia, P., Heissenberg, C., Russo, R., & Veneziano, G. (2023). Classical gravitational observables from the Eikonal operator. Physics Letters B, 843, [138049]. https://doi.org/10.1016/j.physletb.2023.138049

Vancouver

Di Vecchia P, Heissenberg C, Russo R, Veneziano G. Classical gravitational observables from the Eikonal operator. Physics Letters B. 2023 aug. 10;843. 138049. https://doi.org/10.1016/j.physletb.2023.138049

Author

Di Vecchia, Paolo ; Heissenberg, Carlo ; Russo, Rodolfo ; Veneziano, Gabriele. / Classical gravitational observables from the Eikonal operator. I: Physics Letters B. 2023 ; Bind 843.

Bibtex

@article{c64da637bf284d4584b896328579afbc,

title = "Classical gravitational observables from the Eikonal operator",

abstract = "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.",

author = "{Di Vecchia}, Paolo and Carlo Heissenberg and Rodolfo Russo and Gabriele Veneziano",

note = "Publisher Copyright: {\textcopyright} 2023 The Author(s)",

year = "2023",

month = aug,

day = "10",

doi = "10.1016/j.physletb.2023.138049",

language = "English",

volume = "843",

journal = "Physics Letters B: Particle Physics, Nuclear Physics and Cosmology",

issn = "0370-2693",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Classical gravitational observables from the Eikonal operator

AU - Di Vecchia, Paolo

AU - Heissenberg, Carlo

AU - Russo, Rodolfo

AU - Veneziano, Gabriele

PY - 2023/8/10

Y1 - 2023/8/10

N2 - 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.

AB - 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.

U2 - 10.1016/j.physletb.2023.138049

DO - 10.1016/j.physletb.2023.138049

M3 - Journal article

AN - SCOPUS:85165179241

VL - 843

JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

SN - 0370-2693

M1 - 138049

ER -

ID: 361684798

Niels Bohr Institutet