Spinning particles, axion radiation, and the classical double copy
Abstract
We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) Φ and the Kalb-Ramond axion field Bμν. Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in d = 4, corresponds to a gyromagnetic ratio equal to Dirac’s value g = 2. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields (Φ; gμν; Bμν) has interactions which match those of d-dimensional “string gravity,” as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level S-matrix elements of open and closed string theory.
- Authors:
- Publication Date:
- Research Org.:
- Yale Univ., New Haven, CT (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1439386
- Alternate Identifier(s):
- OSTI ID: 1503840
- Grant/Contract Number:
- SC0017660
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Goldberger, Walter D., Li, Jingping, and Prabhu, Siddharth G. Spinning particles, axion radiation, and the classical double copy. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.105018.
Goldberger, Walter D., Li, Jingping, & Prabhu, Siddharth G. Spinning particles, axion radiation, and the classical double copy. United States. doi:10.1103/PhysRevD.97.105018.
Goldberger, Walter D., Li, Jingping, and Prabhu, Siddharth G. Tue .
"Spinning particles, axion radiation, and the classical double copy". United States. doi:10.1103/PhysRevD.97.105018.
@article{osti_1439386,
title = {Spinning particles, axion radiation, and the classical double copy},
author = {Goldberger, Walter D. and Li, Jingping and Prabhu, Siddharth G.},
abstractNote = {We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) Φ and the Kalb-Ramond axion field Bμν. Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in d = 4, corresponds to a gyromagnetic ratio equal to Dirac’s value g = 2. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields (Φ; gμν; Bμν) has interactions which match those of d-dimensional “string gravity,” as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level S-matrix elements of open and closed string theory.},
doi = {10.1103/PhysRevD.97.105018},
journal = {Physical Review D},
number = 10,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}
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DOI: 10.1103/PhysRevD.97.105018
DOI: 10.1103/PhysRevD.97.105018
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Works referenced in this record:
Pure gravities via color-kinematics duality for fundamental matter
journal, November 2015
- Johansson, Henrik; Ochirov, Alexander
- Journal of High Energy Physics, Vol. 2015, Issue 11
Factorization in graviton scattering and the “natural” value of the factor
journal, October 2006
- Holstein, Barry R.
- Physical Review D, Vol. 74, Issue 8
The double copy: Bremsstrahlung and accelerating black holes
journal, June 2016
- Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel
- Journal of High Energy Physics, Vol. 2016, Issue 6
The classical double copy for Taub–NUT spacetime
journal, November 2015
- Luna, Andrés; Monteiro, Ricardo; O'Connell, Donal
- Physics Letters B, Vol. 750
Dual models and the geometry of space-time
journal, October 1974
- Scherk, J.; Schwarz, J. H.
- Physics Letters B, Vol. 52, Issue 3
Classical Yang-Mills theory in the presence of external sources
journal, November 1978
- Sikivie, P.; Weiss, N.
- Physical Review D, Vol. 18, Issue 10
Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries
journal, August 2008
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review D, Vol. 78, Issue 4
Multi-centered N
=
2 $$ \mathcal{N}=2 $$ BPS black holes: a double copy description
journal, April 2017
- Cardoso, G. L.; Nagy, S.; Nampuri, S.
- Journal of High Energy Physics, Vol. 2017, Issue 4
Spin(1)spin(2) effects in the motion of inspiralling compact binaries at third order in the post-Newtonian expansion
journal, August 2008
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review D, Vol. 78, Issue 4
Extended solutions for the biadjoint scalar field
journal, December 2017
- De Smet, Pieter-Jan; White, Chris D.
- Physics Letters B, Vol. 775
Perturbative gravity from QCD amplitudes
journal, June 1999
- Bern, Z.; Grant, A. K.
- Physics Letters B, Vol. 457, Issue 1-3
Gravitational radiation from the classical spinning double copy
journal, May 2018
- Li, Jingping; Prabhu, Siddharth G.
- Physical Review D, Vol. 97, Issue 10
Scattering of massless particles: scalars, gluons and gravitons
journal, July 2014
- Cachazo, Freddy; He, Song; Yuan, Ellis Ye
- Journal of High Energy Physics, Vol. 2014, Issue 7
Axion hair for Kerr black holes
journal, November 1990
- Campbell, Bruce A.; Duncan, M. J.; Kaloper, Nemanja
- Physics Letters B, Vol. 251, Issue 1
Erratum: Next to leading order spin(1)spin(1) effects in the motion of inspiralling compact binaries [Phys. Rev. D 78 , 044013 (2008)]
journal, January 2010
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review D, Vol. 81, Issue 2
Erratum: Spin(1)spin(2) effects in the motion of inspiralling compact binaries at third order in the post-Newtonian expansion [Phys. Rev. D 78 , 044012 (2008)]
journal, January 2010
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review D, Vol. 81, Issue 2
Classical gluon and graviton radiation from the bi-adjoint scalar double copy
journal, September 2017
- Goldberger, Walter D.; Prabhu, Siddharth G.; Thompson, Jedidiah O.
- Physical Review D, Vol. 96, Issue 6
as the natural value of the tree-level gyromagnetic ratio of elementary particles
journal, October 1992
- Ferrara, Sergio; Porrati, Massimo; Telegdi, Valentine L.
- Physical Review D, Vol. 46, Issue 8
The relativistic spherical top
journal, October 1974
- Hanson, A. J.; Regge, T.
- Annals of Physics, Vol. 87, Issue 2
Gravity Amplitudes as Generalized Double Copies of Gauge-Theory Amplitudes
journal, May 2017
- Bern, Zvi; Carrasco, John Joseph; Chen, Wei-Ming
- Physical Review Letters, Vol. 118, Issue 18
Radiation and the classical double copy for color charges
journal, June 2017
- Goldberger, Walter D.; Ridgway, Alexander K.
- Physical Review D, Vol. 95, Issue 12
Lagrangian dynamics of spinning particles and polarized media in general relativity
journal, February 1975
- Bailey, Ian; Israel, Werner
- Communications in Mathematical Physics, Vol. 42, Issue 1
Perturbative Quantum Gravity as a Double Copy of Gauge Theory
journal, August 2010
- Bern, Zvi; Carrasco, John Joseph M.; Johansson, Henrik
- Physical Review Letters, Vol. 105, Issue 6
Perturbative spacetimes from Yang-Mills theory
journal, April 2017
- Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel
- Journal of High Energy Physics, Vol. 2017, Issue 4
Classical direct interstring action
journal, April 1974
- Kalb, Michael; Ramond, P.
- Physical Review D, Vol. 9, Issue 8
Physical properties of four-dimensional superstring gravity black hole solutions
journal, June 1993
- Campbell, Bruce A.; Kaloper, Nemanja; Madden, Richard
- Nuclear Physics B, Vol. 399, Issue 1
(Re-)inventing the relativistic wheel: gravity, cosets, and spinning objects
journal, November 2014
- Delacrétaz, Luca V.; Endlich, Solomon; Monin, Alexander
- Journal of High Energy Physics, Vol. 2014, Issue 11
Black holes and the double copy
journal, December 2014
- Monteiro, R.; O’Connell, D.; White, C. D.
- Journal of High Energy Physics, Vol. 2014, Issue 12
The Kerr-Schild double copy in curved spacetime
journal, December 2017
- Bahjat-Abbas, Nadia; Luna, Andrés; White, Chris D.
- Journal of High Energy Physics, Vol. 2017, Issue 12
A relation between tree amplitudes of closed and open strings
journal, May 1986
- Kawai, H.; Lewellen, D. C.; Tye, S. -H. H.
- Nuclear Physics B, Vol. 269, Issue 1
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
journal, October 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 119, Issue 16
Effective field theory of gravity for extended objects
journal, May 2006
- Goldberger, Walter D.; Rothstein, Ira Z.
- Physical Review D, Vol. 73, Issue 10
The classical double copy in maximally symmetric spacetimes
journal, April 2018
- González, Mariana Carrillo; Penco, Riccardo; Trodden, Mark
- Journal of High Energy Physics, Vol. 2018, Issue 4
Calculation of the First Nonlinear Contribution to the General-Relativistic Spin-Spin Interaction for Binary Systems
journal, July 2006
- Porto, Rafael A.; Rothstein, Ira Z.
- Physical Review Letters, Vol. 97, Issue 2
Erratum and Addendum: Gravitational waves induced by a spinning particle falling into a rotating black hole
journal, January 1999
- Mino, Yasushi; Shibata, Masaru; Tanaka, Takahiro
- Physical Review D, Vol. 59, Issue 4
Exact solutions for the biadjoint scalar field
journal, December 2016
- White, C. D.
- Physics Letters B, Vol. 763
More on cosmological gravitational waves and their memories
journal, September 2017
- Chu, Yi-Zen
- Classical and Quantum Gravity, Vol. 34, Issue 19
Scattering on plane waves and the double copy
journal, December 2017
- Adamo, Tim; Casali, Eduardo; Mason, Lionel
- Classical and Quantum Gravity, Vol. 35, Issue 1
Classical hair for Kerr-Newman black holes in string gravity
journal, July 1992
- Campbell, Bruce A.; Kaloper, Nemanja; Olive, Keith A.
- Physics Letters B, Vol. 285, Issue 3
Five-loop four-point integrand of supergravity as a generalized double copy
journal, December 2017
- Bern, Zvi; Carrasco, John Joseph; Chen, Wei-Ming
- Physical Review D, Vol. 96, Issue 12
Inelastic black hole scattering from charged scalar amplitudes
journal, March 2018
- Luna, Andrés; Nicholson, Isobel; O’Connell, Donal
- Journal of High Energy Physics, Vol. 2018, Issue 3
Gravitational waves from a spinning particle in circular orbits around a rotating black hole
journal, September 1996
- Tanaka, Takahiro; Mino, Yasushi; Sasaki, Misao
- Physical Review D, Vol. 54, Issue 6
Gravitational waves induced by a spinning particle falling into a rotating black hole
journal, January 1996
- Mino, Yasushi; Shibata, Masaru; Tanaka, Takahiro
- Physical Review D, Vol. 53, Issue 2
Gravity as the square of gauge theory
journal, September 2010
- Bern, Zvi; Dennen, Tristan; Huang, Yu-tin
- Physical Review D, Vol. 82, Issue 6
Dynamics of Extended Bodies in General Relativity. I. Momentum and Angular Momentum
journal, January 1970
- Dixon, W. G.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 314, Issue 1519
New relations for gauge-theory amplitudes
journal, October 2008
- Bern, Z.; Carrasco, J. J. M.; Johansson, H.
- Physical Review D, Vol. 78, Issue 8
Post-Newtonian corrections to the motion of spinning bodies in nonrelativistic general relativity
journal, May 2006
- Porto, Rafael A.
- Physical Review D, Vol. 73, Issue 10
A double copy for N = 2 $$ \mathcal{N}=2 $$ supergravity: a linearised tale told on-shell
journal, October 2016
- Cardoso, G. L.; Nagy, S.; Nampuri, S.
- Journal of High Energy Physics, Vol. 2016, Issue 10
Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy
journal, August 2016
- Ridgway, Alexander K.; Wise, Mark B.
- Physical Review D, Vol. 94, Issue 4
Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
journal, March 2018
- Vines, Justin
- Classical and Quantum Gravity, Vol. 35, Issue 8
A multipole-expanded effective field theory for vortex ring-sound interactions
journal, February 2018
- Garcia-Saenz, Sebastian; Mitsou, Ermis; Nicolis, Alberto
- Journal of High Energy Physics, Vol. 2018, Issue 2
Hyperbolic scattering of spinning particles by a Kerr black hole
journal, October 2017
- Bini, Donato; Geralico, Andrea; Vines, Justin
- Physical Review D, Vol. 96, Issue 8
Works referencing / citing this record:
Spinor-helicity and the algebraic classification of higher-dimensional spacetimes
journal, February 2019
- Monteiro, Ricardo; Nicholson, Isobel; O’Connell, Donal
- Classical and Quantum Gravity, Vol. 36, Issue 6
Type D spacetimes and the Weyl double copy
journal, February 2019
- Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel
- Classical and Quantum Gravity, Vol. 36, Issue 6
Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO
journal, October 2019
- Plefka, Jan; Shi, Canxin; Steinhoff, Jan
- Physical Review D, Vol. 100, Issue 8
Black-hole scattering with general spin directions from minimal-coupling amplitudes
journal, November 2019
- Guevara, Alfredo; Ochirov, Alexander; Vines, Justin
- Physical Review D, Vol. 100, Issue 10
Gravitational radiation from the classical spinning double copy
journal, May 2018
- Li, Jingping; Prabhu, Siddharth G.
- Physical Review D, Vol. 97, Issue 10
Ultraviolet properties of supergravity at five loops
journal, October 2018
- Bern, Zvi; Carrasco, John Joseph; Chen, Wei-Ming
- Physical Review D, Vol. 98, Issue 8
Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
journal, January 2019
- Plefka, Jan; Steinhoff, Jan; Wormsbecher, Wadim
- Physical Review D, Vol. 99, Issue 2
Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
journal, March 2019
- Vines, Justin; Steinhoff, Jan; Buonanno, Alessandra
- Physical Review D, Vol. 99, Issue 6
Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
journal, May 2019
- Bern, Zvi; Cheung, Clifford; Roiban, Radu
- Physical Review Letters, Vol. 122, Issue 20