Radiation and the classical double copy for color charges
By Walter D. Goldberger, Alexander K. Ridgway. 2016
237 citations recorded by the source corpus.
We construct perturbative classical solutions of the Yang-Mills equations coupled to dynamical point particles carrying color charge. By applying a set of color to kinematics replacement rules first introduced by Bern, Carrasco and Johansson, these are shown to generate solutions of d-dimensional dilaton gravity, which we also explicitly construct. Agreement between the gravity result and the gauge theory double copy implies a correspondence between non-Abelian particles and gravitating sources with dilaton charge. When the color sources are highly relativistic, dilaton exchange decouples, and the solutions we obtain match those of pure gravity. We comment on possible implications of our findings to the calculation of gravitational waveforms in astrophysical black hole collisions, directly from computationally simpler gluon radiation in Yang-Mills theory.
Subfields: Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3e11b54180f959cea4e6daff2f514d8b64868d93
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In Mathematical Physics
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Citations in the corpus
- The simplest massive S-matrix: from minimal coupling to black holes (2018, unknown): “tistics property: M(1s;2+2;3 2;4s) = ( 1)2sM(4s;2+2;3 2;1s) 3.Survives the HCL: M contact ˘O( 1)0 { 56 { The following list exhausts all possible spinor combinations that survive the HCL limit: F 1 = [14] m ! 1 F~ 1 = h14i m ! 1 + Spa F 1 = 1 2 (F 1 + F~ 1) ! 1 + Spa 2 F 2 = h42i[21] h 12i[24] 2m2 !”
- Post-Minkowskian effective field theory for conservative binary dynamics (2020, methodology): “[110–120], may ultimately provide a hybrid framework to march smoothly towards higher orders.”
- Radiation reaction from soft theorems (2021, background): “1) for the graviton multiplied by an extra factor of h̄ω (see also [4]) so that,”
- Double copy for massive quantum particles with spin (2019, methodology): “ ; (A.1) where H= @B+@B+@Bis the fully antisymmetric eld strength for B. The double-copy relation of this theory to pure Yang-Mills in a classical setting was investigated in refs. [43,51]. In four dimensions we it is convenient to dualize the two-form B to an axion pseudoscalar athrough a type of ”
- TASI Lectures on Scattering Amplitudes (2017, background): “Since then, similar double copy structures have also been found in classical radiation [118, 119] and other curved backgrounds [120, 121].”
- 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].”
- 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.”
- Perturbative spacetimes from Yang-Mills theory (2016, unknown): “tates in gauge theory amplitudes determines whether or not a dilaton or two-form is obtained in the corresponding gravity amplitudes at tree level. This claries the apparent puzzle presented in ref. [70], regarding whether it is possible for the same gauge theory solution to produce dierent gravity ”