The relation between KMOC and worldline formalisms for classical gravity

Poul H. Damgaard; Elias Roos Hansen; Ludovic Planté; Pierre Vanhove

doi:10.1007/JHEP09(2023)059

The relation between KMOC and worldline formalisms for classical gravity

Poul H. Damgaard, Elias Roos Hansen, Ludovic Planté, Pierre Vanhove^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

18 Citations (Scopus)

17 Downloads (Pure)

Abstract

We demonstrate the equivalence between observables in the KMOC and worldline formalisms for classical general relativity, highlighting the relation between the initial conditions in the two frameworks and how the Keldysh-Schwinger in-in formalism is contained in both of them even though the KMOC representation conventionally leads to the evaluation of scattering amplitudes with Feynman propagators. The relationship between the two approaches is illustrated in detail for the momentum kick at second Post-Minkowskian order.

Original language	English
Article number	59
Journal	Journal of High Energy Physics
Volume	2023
Issue number	9
Number of pages	34
ISSN	1126-6708
DOIs	https://doi.org/10.1007/JHEP09(2023)059
Publication status	Published - 11 Sep 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

Keywords

Classical Theories of Gravity
Effective Field Theories
Scattering Amplitudes

Access to Document

10.1007/JHEP09(2023)059

JHEP09(2023)059Final published version, 620 KBLicence: CC BY

Cite this

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AU - Damgaard, Poul H.

AU - Hansen, Elias Roos

AU - Planté, Ludovic

AU - Vanhove, Pierre

PY - 2023/9/11

Y1 - 2023/9/11

N2 - We demonstrate the equivalence between observables in the KMOC and worldline formalisms for classical general relativity, highlighting the relation between the initial conditions in the two frameworks and how the Keldysh-Schwinger in-in formalism is contained in both of them even though the KMOC representation conventionally leads to the evaluation of scattering amplitudes with Feynman propagators. The relationship between the two approaches is illustrated in detail for the momentum kick at second Post-Minkowskian order.

AB - We demonstrate the equivalence between observables in the KMOC and worldline formalisms for classical general relativity, highlighting the relation between the initial conditions in the two frameworks and how the Keldysh-Schwinger in-in formalism is contained in both of them even though the KMOC representation conventionally leads to the evaluation of scattering amplitudes with Feynman propagators. The relationship between the two approaches is illustrated in detail for the momentum kick at second Post-Minkowskian order.

KW - Classical Theories of Gravity

KW - Effective Field Theories

KW - Scattering Amplitudes

U2 - 10.1007/JHEP09(2023)059

DO - 10.1007/JHEP09(2023)059

M3 - Journal article

AN - SCOPUS:85170665666

VL - 2023

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

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