English

All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory

High Energy Physics - Theory 2022-10-07 v3 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.2207.00569,
  title  = {All Things Retarded: Radiation-Reaction in Worldline Quantum Field Theory},
  author = {Gustav Uhre Jakobsen and Gustav Mogull and Jan Plefka and Benjamin Sauer},
  journal= {arXiv preprint arXiv:2207.00569},
  year   = {2022}
}

Comments

43 pages including refs