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.
In: Physics Letters B, Vol. 843, 138049, 10.08.2023.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Classical gravitational observables from the Eikonal operator
AU - Di Vecchia, Paolo
AU - Heissenberg, Carlo
AU - Russo, Rodolfo
AU - Veneziano, Gabriele
N1 - Publisher Copyright: © 2023 The Author(s)
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