Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
M. Carrillo González, B. Melcher, K. Ratliff, S. Watson and C. D. White, The classical double copy in three spacetime dimensions , JHEP 07
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy , JHEP 07
Original
1904
Earlier work this paper cites.
S. Cotogno, C. Lorcé and P. Lowdon, Poincaré constraints on the gravitational form factors for massive states with arbitrary spin , Phys. Rev. D100
Original
1905
Earlier work this paper cites.
W. T. Emond and N. Moynihan, Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity , 1905.08213
Original
1905
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending , 1905.05657
Original
1905
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
G. Chen, H. Johansson, F. Teng and T. Wang, On the kinematic algebra for BCJ numerators beyond the MHV sector , 1906.10683
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO , 1906.05875
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin , 1906.12292
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
S. Mizera, Aspects of Scattering Amplitudes and Moduli Space Localization , 1906.02099
Original
1906
Earlier work this paper cites.
A. PV and A. Manu, Classical double copy from Color Kinematics duality: A proof in the soft limit , 1907.10021
Original
1907
Earlier work this paper cites.
J. H. Schwarz and C. Wen, Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian , 1907.03485
Original
1907
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-t. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli, P. H. Damgaard and H. Gomez, Scalar-Graviton Amplitudes , 1908.09755
Original
1908
Earlier work this paper cites.
A. Ochirov and B. Page, Multi-Quark Colour Decompositions from Unitarity , 1908.02695
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , 1908.10308
Original
1908
Earlier work this paper cites.
Z. Bern, C. Boucher-Veronneau and H. Johansson, N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop , Phys. Rev. D84
Original
1935
Earlier work this paper cites.
F. J. Belinfante, Intrinsic magnetic moment of elementary particles of spin32 , Physical Review 92
1953
Earlier work this paper cites.
S. Weinberg, Photons and gravitons in s s -matrix theory: Derivation of charge conservation and equality of gravitational and inertial mass , Phys. Rev. 135
1964
Earlier work this paper cites.
G. Velo and D. Zwanziger, Propagation and quantization of Rarita-Schwinger waves in an external electromagnetic potential , Phys. Rev. 186
1969
Earlier work this paper cites.
S. Weinberg, Dynamic and algebraic symmetries. , pp 283-393 of Lectures on Elementary Particles and Quantum Field Theory. Vol. 1. /Deser, Stanley (ed.). Cambridge, Mass. Massachusetts Inst. of Tech. Press (1970). (1970)
1970
Earlier work this paper cites.
A. Das, So(4)-invariant extended supergravity , Phys. Rev. D 15
1977
Earlier work this paper cites.
L. Brink, J. H. Schwarz and J. Scherk, Supersymmetric Yang-Mills Theories , Nucl. Phys. B121
1977
Earlier work this paper cites.
E. Cremmer, J. Scherk and S. Ferrara, Su(4) invariant supergravity theory , Physics Letters B 74
1978
Earlier work this paper cites.
H. Nicolai and P. Townsend, N=3 supersymmetry multiplets with vanishing trace anomaly: Building blocks of the n > 3 n>3 supergravities , Physics Letters B 98
1981
Earlier work this paper cites.
G. W. Gibbons, Antigravitating Black Hole Solitons with Scalar Hair in N=4 Supergravity , Nucl. Phys. B207
1982
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. B269
1986
Earlier work this paper cites.
D. Garfinkle, G. T. Horowitz and A. Strominger, Charged black holes in string theory , Phys. Rev. D 43
1991
Earlier work this paper cites.
S. Ferrara, M. Porrati and V. L. Telegdi, g = 2 g=2 as the natural value of the tree-level gyromagnetic ratio of elementary particles , Phys. Rev. D 46
1992
Earlier work this paper cites.
B. A. Campbell, N. Kaloper and K. A. Olive, Classical hair for kerr-newman black holes in string gravity , Physics Letters B 285
1992
Earlier work this paper cites.
J. H. Horne and G. T. Horowitz, Rotating dilaton black holes , Phys. Rev. D 46
1992
Earlier work this paper cites.
B. A. Campbell, N. Kaloper, R. Madden and K. A. Olive, Physical properties of four-dimensional superstring gravity black hole solutions , Nuclear Physics B 399
1993
Earlier work this paper cites.
A. Cucchieri, M. Porrati and S. Deser, Tree level unitarity constraints on the gravitational couplings of higher spin massive fields , Phys. Rev. D51
1995
Earlier work this paper cites.
R.-G. Cai and Y. S. Myung, Black holes in the Brans-Dicke-Maxwell theory , Phys. Rev. D56
1997
Earlier work this paper cites.
M. Frau, I. Pesando, S. Sciuto, A. Lerda and R. Russo, Scattering of closed strings from many D-branes , Phys. Lett. B400
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, Multileg one loop gravity amplitudes from gauge theory , Nucl. Phys. B546
1999
Earlier work this paper cites.
S. Deser, V. Pascalutsa and A. Waldron, Massive spin 3/2 electrodynamics , Phys. Rev. D62
2000
Earlier work this paper cites.
S. Deser and A. Waldron, Inconsistencies of massive charged gravitating higher spins , Nucl. Phys. B631
2002
Earlier work this paper cites.
E. Witten, Perturbative gauge theory as a string theory in twistor space , Commun. Math. Phys. 252
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin and A. Volovich, A Googly amplitude from the B model in twistor space , JHEP 04
2004
Earlier work this paper cites.

Similar

R. Roiban, M. Spradlin and A. Volovich, On the tree level S matrix of Yang-Mills theory , Phys. Rev. D70
2004
Cited alongside, same era.
B. R. Holstein, How Large is the ’natural’ magnetic moment? , Am. J. Phys. 74
2006
Cited alongside, same era.
R. A. Porto, Post-Newtonian corrections to the motion of spinning bodies in NRGR , Phys. Rev. D73
2006
Cited alongside, same era.
R. A. Porto and I. Z. Rothstein, The Hyperfine Einstein-Infeld-Hoffmann potential , Phys. Rev. Lett. 97
2006
Cited alongside, same era.
X. Bekaert and N. Boulanger, The Unitary representations of the Poincare group in any spacetime dimension , in 2nd Modave Summer School in Theoretical Physics Modave, Belgium, August 6-12, 2006 , 2006, hep-th/0611263
2006
Cited alongside, same era.

Then

M. Chiodaroli, M. Günaydin, H. Johansson and R. Roiban, Scattering amplitudes in 𝒩 = 2 \mathcal{N}=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity , JHEP 01
Original
2015
Later among the works it cites.
T. Melia, Proof of a new colour decomposition for QCD amplitudes , JHEP 12
Original
2015
Later among the works it cites.
G. L. Cardoso, S. Nagy and S. Nampuri, A double copy for 𝒩 = 2 \mathcal{N}=2 supergravity: a linearised tale told on-shell , JHEP 10
Original
2016
Later among the works it cites.
A. Luna, R. Monteiro, I. Nicholson, D. O’Connell and C. D. White, The double copy: Bremsstrahlung and accelerating black holes , JHEP 06
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Later among the works it cites.
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2019

On the Double Copy for Spinning Matter

Bautista, Yilber Fabian, Guevara, Alfredo

Understand

We explore various tree-level double copy constructions for amplitudes including massive particles with spin.

By working in general dimensions, we use that particles with spins $s\leq 2$ are fundamental to argue that the corresponding double copy relations partially follow from compactification of their massless counterparts.
This massless origin fixes the coupling of gluons, dilatons and axions to matter in a characteristic way (for instance fixing the gyromagnetic ratio), whereas the graviton couples universally reflecting the equivalence principle.
For spin-1 matter we conjecture all-order Lagrangians reproducing the interactions with up to two massive lines and we test them in a classical setup, where the massive lines represent spinning compact objects such as black holes.

Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
M. Carrillo González, B. Melcher, K. Ratliff, S. Watson and C. D. White, The classical double copy in three spacetime dimensions , JHEP 07
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy , JHEP 07
Original
1904
Earlier work this paper cites.
S. Cotogno, C. Lorcé and P. Lowdon, Poincaré constraints on the gravitational form factors for massive states with arbitrary spin , Phys. Rev. D100
Original
1905
Earlier work this paper cites.
W. T. Emond and N. Moynihan, Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity , 1905.08213
Original
1905
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending , 1905.05657
Original
1905
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
G. Chen, H. Johansson, F. Teng and T. Wang, On the kinematic algebra for BCJ numerators beyond the MHV sector , 1906.10683
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO , 1906.05875
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, Double copy for massive quantum particles with spin , 1906.12292
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
S. Mizera, Aspects of Scattering Amplitudes and Moduli Space Localization , 1906.02099
Original
1906
Earlier work this paper cites.
A. PV and A. Manu, Classical double copy from Color Kinematics duality: A proof in the soft limit , 1907.10021
Original
1907
Earlier work this paper cites.
J. H. Schwarz and C. Wen, Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian , 1907.03485
Original
1907
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-t. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli, P. H. Damgaard and H. Gomez, Scalar-Graviton Amplitudes , 1908.09755
Original
1908
Earlier work this paper cites.
A. Ochirov and B. Page, Multi-Quark Colour Decompositions from Unitarity , 1908.02695
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , 1908.10308
Original
1908
Earlier work this paper cites.
Z. Bern, C. Boucher-Veronneau and H. Johansson, N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop , Phys. Rev. D84
Original
1935
Earlier work this paper cites.
F. J. Belinfante, Intrinsic magnetic moment of elementary particles of spin32 , Physical Review 92
1953
Earlier work this paper cites.
S. Weinberg, Photons and gravitons in s s -matrix theory: Derivation of charge conservation and equality of gravitational and inertial mass , Phys. Rev. 135
1964
Earlier work this paper cites.
G. Velo and D. Zwanziger, Propagation and quantization of Rarita-Schwinger waves in an external electromagnetic potential , Phys. Rev. 186
1969
Earlier work this paper cites.
S. Weinberg, Dynamic and algebraic symmetries. , pp 283-393 of Lectures on Elementary Particles and Quantum Field Theory. Vol. 1. /Deser, Stanley (ed.). Cambridge, Mass. Massachusetts Inst. of Tech. Press (1970). (1970)
1970
Earlier work this paper cites.
A. Das, So(4)-invariant extended supergravity , Phys. Rev. D 15
1977
Earlier work this paper cites.
L. Brink, J. H. Schwarz and J. Scherk, Supersymmetric Yang-Mills Theories , Nucl. Phys. B121
1977
Earlier work this paper cites.
E. Cremmer, J. Scherk and S. Ferrara, Su(4) invariant supergravity theory , Physics Letters B 74
1978
Earlier work this paper cites.
H. Nicolai and P. Townsend, N=3 supersymmetry multiplets with vanishing trace anomaly: Building blocks of the n > 3 n>3 supergravities , Physics Letters B 98
1981
Earlier work this paper cites.
G. W. Gibbons, Antigravitating Black Hole Solitons with Scalar Hair in N=4 Supergravity , Nucl. Phys. B207
1982
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. B269
1986
Earlier work this paper cites.
D. Garfinkle, G. T. Horowitz and A. Strominger, Charged black holes in string theory , Phys. Rev. D 43
1991
Earlier work this paper cites.
S. Ferrara, M. Porrati and V. L. Telegdi, g = 2 g=2 as the natural value of the tree-level gyromagnetic ratio of elementary particles , Phys. Rev. D 46
1992
Earlier work this paper cites.
B. A. Campbell, N. Kaloper and K. A. Olive, Classical hair for kerr-newman black holes in string gravity , Physics Letters B 285
1992
Earlier work this paper cites.
J. H. Horne and G. T. Horowitz, Rotating dilaton black holes , Phys. Rev. D 46
1992
Earlier work this paper cites.
B. A. Campbell, N. Kaloper, R. Madden and K. A. Olive, Physical properties of four-dimensional superstring gravity black hole solutions , Nuclear Physics B 399
1993
Earlier work this paper cites.
A. Cucchieri, M. Porrati and S. Deser, Tree level unitarity constraints on the gravitational couplings of higher spin massive fields , Phys. Rev. D51
1995
Earlier work this paper cites.
R.-G. Cai and Y. S. Myung, Black holes in the Brans-Dicke-Maxwell theory , Phys. Rev. D56
1997
Earlier work this paper cites.
M. Frau, I. Pesando, S. Sciuto, A. Lerda and R. Russo, Scattering of closed strings from many D-branes , Phys. Lett. B400
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, Multileg one loop gravity amplitudes from gauge theory , Nucl. Phys. B546
1999
Earlier work this paper cites.
S. Deser, V. Pascalutsa and A. Waldron, Massive spin 3/2 electrodynamics , Phys. Rev. D62
2000
Earlier work this paper cites.
S. Deser and A. Waldron, Inconsistencies of massive charged gravitating higher spins , Nucl. Phys. B631
2002
Earlier work this paper cites.
E. Witten, Perturbative gauge theory as a string theory in twistor space , Commun. Math. Phys. 252
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin and A. Volovich, A Googly amplitude from the B model in twistor space , JHEP 04
2004
Earlier work this paper cites.

Similar

R. Roiban, M. Spradlin and A. Volovich, On the tree level S matrix of Yang-Mills theory , Phys. Rev. D70
2004
Cited alongside, same era.
B. R. Holstein, How Large is the ’natural’ magnetic moment? , Am. J. Phys. 74
2006
Cited alongside, same era.
R. A. Porto, Post-Newtonian corrections to the motion of spinning bodies in NRGR , Phys. Rev. D73
2006
Cited alongside, same era.
R. A. Porto and I. Z. Rothstein, The Hyperfine Einstein-Infeld-Hoffmann potential , Phys. Rev. Lett. 97
2006
Cited alongside, same era.
X. Bekaert and N. Boulanger, The Unitary representations of the Poincare group in any spacetime dimension , in 2nd Modave Summer School in Theoretical Physics Modave, Belgium, August 6-12, 2006 , 2006, hep-th/0611263
2006
Cited alongside, same era.