Classical gluon and graviton radiation from the bi-adjoint scalar double copy

By Walter D. Goldberger, Siddharth G. Prabhu, Jedidiah O. Thompson. 2017

144 citations recorded by the source corpus.

We find double-copy relations between classical radiating solutions in Yang-Mills theory coupled to dynamical color charges and their counterparts in a cubic bi-adjoint scalar field theory which interacts linearly with particles carrying bi-adjoint charge. The particular color-to-kinematics replacements we employ are motivated by the Bern-Carrasco-Johansson double-copy correspondence for on-shell amplitudes in gauge and gravity theories. They are identical to those recently used to establish relations between classical radiating solutions in gauge theory and in dilaton gravity. Our explicit bi-adjoint solutions are constructed to second order in a perturbative expansion, and map under the double copy onto gauge theory solutions which involve at most cubic gluon self-interactions. If the correspondence is found to persist to higher orders in perturbation theory, our results suggest the possibility of calculating gravitational radiation from colliding compact objects, directly from a scalar field with vastly simpler (purely cubic) Feynman vertices.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/36bf7c26fe0a6279d24fccf29865b04374a0afa5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Alexander Ochirov
2. A. Luna
3. H. Johansson
4. D. O’Connell
5. T. Damour
6. J. Vines
7. Ben Maybee
8. C. Cheung

In Nuclear and High Energy Physics

1. Alexander Ochirov
2. A. Luna
3. D. O’Connell
4. H. Johansson
5. T. Damour
6. J. Vines
7. Chris D. White
8. C. Cheung

Citations in the corpus

• Type D spacetimes and the Weyl double copy (2018, unknown): “For generic solutions, there is ample evidence that the double copy applies in perturbation theory [66–81], but its exact (non-perturbative) formulation remains elusive.”
• Observables and amplitudes for spinning particles and black holes (2019, background): “It raises the provocative question of whether exact solutions in general relativity satisfy similar simple relationships to their classical Yang-Mills counterparts, coined the classical double copy [66–80].”
• Inelastic black hole scattering from charged scalar amplitudes (2017, background): “Another interesting aspect of reference [23] was how the authors implemented the double copy.”
• TASI Lectures on Scattering Amplitudes (2017, background): “he Schwarzschild solution of general relativity is shown to be dual to the Coulomb potential of electrodynamics. Since then, similar double copy structures have also been found in classical radiation [118, 119] and other curved backgrounds [120, 121]. Inhindsight, aclassical manifestationofthe doubl”
• Double copy for massive quantum particles with spin (2019, background): “d also be useful for more systematic studies related to classical scattering of multiple gravitational sources and associated gravitational wave emission, as demonstrated by Shen [57]. See also refs. [6,7,9,12,13,51,54{56,58,59,62,63,107,108]. Specifying the properties that identify the gravitationa”
• Scattering of spinning black holes from exponentiated soft factors (2018, background): “The natural candidate for such a connection is radiative effects [65–69], as explored in [22] from the point of view of soft theorems.”