Abstract
The recently established formalism of a worldline quantum field theory, which describes the classical scattering of massive bodies (black holes, neutron stars, or stars) in Einstein gravity, is generalized up to quadratic order in spin, revealing an alternative N=2 supersymmetric description of the symmetries inherent in spinning bodies. The far-field time domain waveform of the gravitational waves produced in such a spinning encounter is computed at leading order in the post-Minkowskian (weak field, but generic velocity) expansion, and exhibits this supersymmetry. From the waveform we extract the leading-order total radiated angular momentum in a generic reference frame, and the total radiated energy in the center-of-mass frame to leading order in a low-velocity approximation.
Highlights
The rise of gravitational wave (GW) astronomy [1] offers new paths to explore our universe, including black hole (BH) population and formation studies [2], tests of gravity in the strong-field regime [3], measurements of the Hubble constant [4], and investigations of strongly interacting matter inside neutron stars [5]
The recently established formalism of a worldline quantum field theory, which describes the classical scattering of massive bodies in Einstein gravity, is generalized up to quadratic order in spin, revealing an alternative N 1⁄4 2 supersymmetric description of the symmetries inherent in spinning bodies
The far-field time domain waveform of the gravitational waves produced in such a spinning encounter is computed at leading order in the post-Minkowskian expansion, and exhibits this supersymmetry
Summary
Gustav Uhre Jakobsen,1,2,* Gustav Mogull ,1,2,† Jan Plefka ,1,‡ and Jan Steinhoff2,§. The rise of gravitational wave (GW) astronomy [1] offers new paths to explore our universe, including black hole (BH) population and formation studies [2], tests of gravity in the strong-field regime [3], measurements of the Hubble constant [4], and investigations of strongly interacting matter inside neutron stars [5] This form of astronomy relies heavily on Bayesian methods to infer probability distributions for theoretical GW predictions (templates), depending on a source’s parameters, to match the measured strain on detectors. We improve on our earlier reproduction of the nonspinning result [16] by presenting results in a compact Lorentz-covariant form, using an improved integration strategy To obtain these results we generalize the recently introduced worldline quantum field theory (WQFT) formalism [16,17] to spinning particles on the worldline. Spinning Worldline Quantum Field Theory.—It has been known since the 1980s [18] that the relativistic wave
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