All things retarded: radiation-reaction in worldline quantum field theory

Jakobsen, Gustav Uhre; Mogull, Gustav; Plefka, Jan; Sauer, Benjamin

doi:10.1007/JHEP10(2022)128

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All things retarded: radiation-reaction in worldline quantum field theory

Author(s): Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer

Publication date Created: October 2022

Publication date (Electronic): October 19 2022

Journal: Journal of High Energy Physics

Publisher: Springer Science and Business Media LLC

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A bstract

We exhibit an initial-value formulation of the worldline quantum field theory (WQFT) approach to the classical two-body problem in general relativity. We show that the Schwinger-Keldysh (in-in) formalism leads to purely retarded propagators in the evaluation of observables in the WQFT. Integration technology for retarded master integrals is introduced at third post-Minkowskian (3PM) order. As an application we compute the complete radiation-reacted impulse and radiated four momentum for the scattering of two non-spinning neutron stars including tidal effects at 3PM order, as well as the leading (2PM) far-field gravitational waveform.