Generalized Unitarity Method for Worldline Field Theory

Fuente: arXiv
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Main Authors: He, Vincent F., Parra-Martinez, Julio
Format: Preprint
Published: 2025
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author He, Vincent F.
Parra-Martinez, Julio
author_facet He, Vincent F.
Parra-Martinez, Julio
contents 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 ${\cal O}(G^{5/2})$), 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 systematical exploration of structure in this class of observables.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00989
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalized Unitarity Method for Worldline Field Theory
He, Vincent F.
Parra-Martinez, Julio
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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 ${\cal O}(G^{5/2})$), 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 systematical exploration of structure in this class of observables.
title Generalized Unitarity Method for Worldline Field Theory
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.00989