Physics

Gravitation

Gravitational field

Renormalization

Mathematical physics

Musical

Propagator

Quantum field theory

General relativity

Visual arts

Dimensional regularization

Quantum electrodynamics

Quantum mechanics

Formalism (music)

Observable

Impulse (physics)

Quantum

Journal of High Energy Physics

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.

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