Built on

B. S. DeWitt, “Quantum theory of gravity. iii. applications of the covariant theory,” Phys. Rev
1967
Earlier work this paper cites.
No. pt. 3 in Gravitation. W. H. Freeman, 1973
C. Misner, K. Thorne, and J. Wheeler, Gravitation · 1973
Earlier work this paper cites.
Physics Notes. Princeton University Press, 1975
P. Dirac, General Theory of Relativity · 1975
Earlier work this paper cites.
Pergamon, Amsterdam, fourth edition ed., 1975
L. Landau and E. Lifshitz, “Chaper 11 - the gravitational field equations,” in The Classical Theory of Fields (Fourth Edition) · 1975
Earlier work this paper cites.
P. Sikivie and N. Weiss, “Classical yang-mills theory in the presence of external sources,” Phys. Rev. D
1978
Earlier work this paper cites.
H. Kawai, D. C. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys
1986
Earlier work this paper cites.
S. Sannan, “Gravity as the limit of the type-ii superstring theory,” Phys. Rev. D
1986
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C. M. Will and A. G. Wiseman, “Gravitational radiation from compact binary systems: Gravitational wave forms and energy loss to second postNewtonian order,” Phys. Rev
1996
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Wiley, New York, NY, 3rd ed. ed., 1999
J. D. Jackson, Classical electrodynamics · 1999
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E. E. Flanagan and S. A. Hughes, “The Basics of gravitational wave theory,” New J. Phys
2005
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Z. Bern, J. J. M. Carrasco, and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev
Original
2008
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D. Ebert, J. Plefka, and A. Rodigast, “Absence of gravitational contributions to the running Yang-Mills coupling,” Phys. Lett
Original
2008
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PhD thesis, Humboldt University, August, 2008
A. Rodigast, One-Loop Divergences of the Yang-Mills Theory Coupled to Gravitation · 2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, “Minimal Basis for Gauge Theory Amplitudes,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang, and M. Kiermaier, “Gravity as the Square of Gauge Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, “Perturbative Quantum Gravity as a Double Copy of Gauge Theory,” Phys. Rev. Lett
Original
2010
Earlier work this paper cites.
N. Arkani-Hamed, F. Cachazo, C. Cheung, and J. Kaplan, “A Duality For The S Matrix,” JHEP
Original
2010
Earlier work this paper cites.

Similar

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Then

S. Stieberger and T. R. Taylor, “New relations for Einstein–Yang–Mills amplitudes,” Nucl. Phys
Original
2016
Later among the works it cites.
Y.-J. Du, F. Teng, and Y.-S. Wu, “Direct Evaluation of n n -point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism,” JHEP
Original
2016
Later among the works it cites.
D. Nandan, J. Plefka, O. Schlotterer, and C. Wen, “Einstein-Yang-Mills from pure Yang-Mills amplitudes,” JHEP
Original
2016
Later among the works it cites.
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2016
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LIGO Scientific Collaboration and Virgo Collaboration
2016

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2017

The Radiative Double Copy for Einstein-Yang-Mills Theory

Chester, David

Understand

Recently, a double-copy formalism was used to calculate gravitational radiation from classical Yang-Mills radiation solutions.

This work shows that Yang-Mills theory coupled to a biadjoint scalar field admits a radiative double copy that agrees with solutions in Einstein-Yang-Mills theory at the lowest finite order.
Within this context, the trace-reversed metric $\bar{h}^{\mu\nu}$ is a natural double copy of the gauge boson $A^{\mu a}$.
This work provides additional evidence that solutions in gauge and gravity theories are related, even though their respective Lagrangians and nonlinear equations of motion appear to be different.

Built on

B. S. DeWitt, “Quantum theory of gravity. iii. applications of the covariant theory,” Phys. Rev
1967
Earlier work this paper cites.
No. pt. 3 in Gravitation. W. H. Freeman, 1973
C. Misner, K. Thorne, and J. Wheeler, Gravitation · 1973
Earlier work this paper cites.
Physics Notes. Princeton University Press, 1975
P. Dirac, General Theory of Relativity · 1975
Earlier work this paper cites.
Pergamon, Amsterdam, fourth edition ed., 1975
L. Landau and E. Lifshitz, “Chaper 11 - the gravitational field equations,” in The Classical Theory of Fields (Fourth Edition) · 1975
Earlier work this paper cites.
P. Sikivie and N. Weiss, “Classical yang-mills theory in the presence of external sources,” Phys. Rev. D
1978
Earlier work this paper cites.
H. Kawai, D. C. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys
1986
Earlier work this paper cites.
S. Sannan, “Gravity as the limit of the type-ii superstring theory,” Phys. Rev. D
1986
Earlier work this paper cites.
C. M. Will and A. G. Wiseman, “Gravitational radiation from compact binary systems: Gravitational wave forms and energy loss to second postNewtonian order,” Phys. Rev
1996
Earlier work this paper cites.
Wiley, New York, NY, 3rd ed. ed., 1999
J. D. Jackson, Classical electrodynamics · 1999
Earlier work this paper cites.
E. E. Flanagan and S. A. Hughes, “The Basics of gravitational wave theory,” New J. Phys
2005
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev
Original
2008
Earlier work this paper cites.
D. Ebert, J. Plefka, and A. Rodigast, “Absence of gravitational contributions to the running Yang-Mills coupling,” Phys. Lett
Original
2008
Earlier work this paper cites.
PhD thesis, Humboldt University, August, 2008
A. Rodigast, One-Loop Divergences of the Yang-Mills Theory Coupled to Gravitation · 2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, “Minimal Basis for Gauge Theory Amplitudes,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang, and M. Kiermaier, “Gravity as the Square of Gauge Theory,” Phys. Rev
Original
2010
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, “Perturbative Quantum Gravity as a Double Copy of Gauge Theory,” Phys. Rev. Lett
Original
2010
Earlier work this paper cites.
N. Arkani-Hamed, F. Cachazo, C. Cheung, and J. Kaplan, “A Duality For The S Matrix,” JHEP
Original
2010
Earlier work this paper cites.