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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Generalized unitarity method for worldline field theory

  • Vincent F. He1
  • Julio Parra-Martinez1
  1. 1Institut des Hautes Études Scientifiques
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Abstract

We present a generalized unitarity method for theories of point-particle worldlines coupled to gravity, analogous to that of scattering amplitudes in quantum field theory. This method allows the computation of perturbative observables from basic principles such as locality and unitarity, thus avoiding gauge redundancies and the use of Feynman diagrams. We illustrate the method with a variety of examples, including the gravitational waveform for the scattering of two point masses at next-to-leading order (or 𝒪(G5/2)), reproducing known results. Our method further streamlines the calculation of the scattering dynamics of compact binary systems and opens the door to further applications and systematic exploration of the structure in this class of observables.

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Cite

BibTeXRIS
BibTeX
@article{he2026generalized,
  title = {{Generalized unitarity method for worldline field theory}},
  author = {Vincent F. He and Julio Parra-Martinez},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)267},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)267},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Generalized unitarity method for worldline field theory
AU  - Vincent F. He
AU  - Julio Parra-Martinez
PY  - 2026
DA  - 2026/10/28
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)267
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)267
AB  - We present a generalized unitarity method for theories of point-particle worldlines coupled to gravity, analogous to that of scattering amplitudes in quantum field theory. This method allows the computation of perturbative observables from basic principles such as locality and unitarity, thus avoiding gauge redundancies and the use of Feynman diagrams. We illustrate the method with a variety of examples, including the gravitational waveform for the scattering of two point masses at next-to-leading order (or 𝒪(G^5/2)), reproducing known results. Our method further streamlines the calculation of the scattering dynamics of compact binary systems and opens the door to further applications and systematic exploration of the structure in this class of observables.
SN  - 1029-8479
ER  -