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
Original
1901
Earlier work this paper cites.
K. Andrzejewski and S. Prencel, From polarized gravitational waves to analytically solvable electromagnetic beams
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
Original
1903
Earlier work this paper cites.
S. Sabharwal and J. W. Dalhuisen, Anti-Self-Dual Spacetimes, Gravitational Instantons and Knotted Zeros of the Weyl Tensor
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
Original
1904
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia, and R. Russo, Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending
Original
1905
Earlier work this paper cites.
A. Cristofoli, N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, Post-Minkowskian Hamiltonians in general relativity
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell, and J. Vines, Observables and amplitudes for spinning particles and black holes
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
Original
1906
Earlier work this paper cites.
A. Laddha and A. Sen, Classical proof of the classical soft graviton theorem in D > 4 D>4
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, Kerr black holes as elementary particles
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
Original
1906
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
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad, and A. Helset, Heavy Black Hole Effective Theory
Original
1908
Earlier work this paper cites.
H. Godazgar, M. Godazgar, and C. Pope, Taub-NUT from the Dirac monopole
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter
Original
1908
Earlier work this paper cites.
P. Di Vecchia, A. Luna, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 = 8 {\cal N}=8 supergravity
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The Duality Between Color and Kinematics and its Applications
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States
Original
1910
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity
Original
1910
Earlier work this paper cites.
I. Bah, R. Dempsey, and P. Weck, Kerr-Schild Double Copy and Complex Worldlines
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist)
Original
1911
Earlier work this paper cites.
Y.-T. Huang, U. Kol, and D. O’Connell, Double copy of electric-magnetic duality
Original
1911
Earlier work this paper cites.
M. Accettulli Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, Note on the absence of R 2 R^{2} corrections to Newton’s potential
Original
1911
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence, and D. Peinador Veiga, S-duality and the double copy
Original
1911
Earlier work this paper cites.
L. Borsten, I. Jubb, V. Makwana, and S. Nagy, Gauge ? gauge on spheres
Original
1911
Earlier work this paper cites.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level
Original
1911
Earlier work this paper cites.
A. P. Saha, B. Sahoo, and A. Sen, Proof of the classical soft graviton theorem in D D = 4
Original
1912
Earlier work this paper cites.
K. Kim, K. Lee, R. Monteiro, I. Nicholson, and D. Peinador Veiga, The Classical Double Copy of a Point Charge
Original
1912
Earlier work this paper cites.
A. Banerjee, E. Colgáin, J. Rosabal, and H. Yavartanoo, Ehlers as EM duality in the double copy
Original
1912
Earlier work this paper cites.
W. D. Goldberger and J. Li, Strings, extended objects, and the classical double copy
Original
1912
Earlier work this paper cites.
R. Sachs, Gravitational waves in general relativity. 6. The outgoing radiation condition
1961
Earlier work this paper cites.
E. Newman and R. Penrose, An Approach to gravitational radiation by a method of spin coefficients
1962
Earlier work this paper cites.
M. J. Duff, Quantum Tree Graphs and the Schwarzschild Solution
1973
Earlier work this paper cites.
H. Kawai, D. Lewellen, and S. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings
1986
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Superstring Collisions at Planckian Energies
1987
Earlier work this paper cites.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering
1987
Earlier work this paper cites.
I. Muzinich and M. Soldate, High-Energy Unitarity of Gravitation and Strings
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions
1990
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Planckian scattering beyond the semiclassical approximation
1992
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering
1992
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits
1994
Earlier work this paper cites.
J. F. Donoghue, Leading quantum correction to the Newtonian potential
1994
Earlier work this paper cites.
J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections
1994
Earlier work this paper cites.
J. W. Barrett, G. Gibbons, M. Perry, C. Pope, and P. Ruback, Kleinian geometry and the N=2 superstring
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes
1995
Earlier work this paper cites.

Similar

R. Aoude, K. Haddad, and A. Helset, On-shell heavy particle effective theories
Original
2001
Cited alongside, same era.
N. Bahjat-Abbas, R. Stark-Muchão, and C. D. White, Monopoles, shockwaves and the classical double copy
Original
2001
Cited alongside, same era.
Z. Bern, H. Ita, J. Parra-Martinez, and M. S. Ruf, Universality in the classical limit of massless gravitational scattering
Original
2002
Cited alongside, same era.
N. Moynihan and J. Murugan, On-Shell Electric-Magnetic Duality and the Dual Graviton
Original
2002
Cited alongside, same era.
E. Lescano and J. A. Rodríguez, 𝒩 \mathcal{N} = 1 supersymmetric Double Field Theory and the generalized Kerr-Schild ansatz

Then

S. G. Prabhu, The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
Original
2011
Later among the works it cites.
A. Parnachev and K. Sen, Notes on AdS-Schwarzschild eikonal phase
Original
2011
Later among the works it cites.
M. A. Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, From amplitudes to gravitational radiation with cubic interactions and tidal effects
Original
2012
Later among the works it cites.
R. Gonzo and A. Pokraka, Light-ray operators, detectors and gravitational event shapes
Original
2012
Later among the works it cites.
L. de la Cruz, A scattering amplitudes approach to hard thermal loops

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2020

Classical Solutions and their Double Copy in Split Signature

Monteiro, Ricardo, O'Connell, Donal, Veiga, David Peinador et al.

Understand

The three-point amplitude is the key building block in the on-shell approach to scattering amplitudes.

We show that the classical objects computed by massive three-point amplitudes in gauge theory and gravity are Newman-Penrose scalars in a split-signature spacetime, where three-point amplitudes can be defined for real kinematics.
In fact, the quantum state set up by the particle is a coherent state fully determined by the three-point amplitude due to an eikonal-type exponentiation.
Having identified this simplest classical solution from the perspective of scattering amplitudes, we explore the double copy of the Newman-Penrose scalars induced by the traditional double copy of amplitudes, and find that it coincides with the Weyl version of the classical double copy.

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
Original
1901
Earlier work this paper cites.
K. Andrzejewski and S. Prencel, From polarized gravitational waves to analytically solvable electromagnetic beams
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
Original
1903
Earlier work this paper cites.
S. Sabharwal and J. W. Dalhuisen, Anti-Self-Dual Spacetimes, Gravitational Instantons and Knotted Zeros of the Weyl Tensor
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
Original
1904
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia, and R. Russo, Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending
Original
1905
Earlier work this paper cites.
A. Cristofoli, N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, Post-Minkowskian Hamiltonians in general relativity
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell, and J. Vines, Observables and amplitudes for spinning particles and black holes
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
Original
1906
Earlier work this paper cites.
A. Laddha and A. Sen, Classical proof of the classical soft graviton theorem in D > 4 D>4
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, Kerr black holes as elementary particles
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
Original
1906
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
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad, and A. Helset, Heavy Black Hole Effective Theory
Original
1908
Earlier work this paper cites.
H. Godazgar, M. Godazgar, and C. Pope, Taub-NUT from the Dirac monopole
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter
Original
1908
Earlier work this paper cites.
P. Di Vecchia, A. Luna, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 = 8 {\cal N}=8 supergravity
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The Duality Between Color and Kinematics and its Applications
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States
Original
1910
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity
Original
1910
Earlier work this paper cites.
I. Bah, R. Dempsey, and P. Weck, Kerr-Schild Double Copy and Complex Worldlines
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist)
Original
1911
Earlier work this paper cites.
Y.-T. Huang, U. Kol, and D. O’Connell, Double copy of electric-magnetic duality
Original
1911
Earlier work this paper cites.
M. Accettulli Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, Note on the absence of R 2 R^{2} corrections to Newton’s potential
Original
1911
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence, and D. Peinador Veiga, S-duality and the double copy
Original
1911
Earlier work this paper cites.
L. Borsten, I. Jubb, V. Makwana, and S. Nagy, Gauge ? gauge on spheres
Original
1911
Earlier work this paper cites.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level
Original
1911
Earlier work this paper cites.
A. P. Saha, B. Sahoo, and A. Sen, Proof of the classical soft graviton theorem in D D = 4
Original
1912
Earlier work this paper cites.
K. Kim, K. Lee, R. Monteiro, I. Nicholson, and D. Peinador Veiga, The Classical Double Copy of a Point Charge
Original
1912
Earlier work this paper cites.
A. Banerjee, E. Colgáin, J. Rosabal, and H. Yavartanoo, Ehlers as EM duality in the double copy
Original
1912
Earlier work this paper cites.
W. D. Goldberger and J. Li, Strings, extended objects, and the classical double copy
Original
1912
Earlier work this paper cites.
R. Sachs, Gravitational waves in general relativity. 6. The outgoing radiation condition
1961
Earlier work this paper cites.
E. Newman and R. Penrose, An Approach to gravitational radiation by a method of spin coefficients
1962
Earlier work this paper cites.
M. J. Duff, Quantum Tree Graphs and the Schwarzschild Solution
1973
Earlier work this paper cites.
H. Kawai, D. Lewellen, and S. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings
1986
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Superstring Collisions at Planckian Energies
1987
Earlier work this paper cites.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering
1987
Earlier work this paper cites.
I. Muzinich and M. Soldate, High-Energy Unitarity of Gravitation and Strings
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions
1990
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Planckian scattering beyond the semiclassical approximation
1992
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering
1992
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits
1994
Earlier work this paper cites.
J. F. Donoghue, Leading quantum correction to the Newtonian potential
1994
Earlier work this paper cites.
J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections
1994
Earlier work this paper cites.
J. W. Barrett, G. Gibbons, M. Perry, C. Pope, and P. Ruback, Kleinian geometry and the N=2 superstring
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes
1995
Earlier work this paper cites.

Similar

R. Aoude, K. Haddad, and A. Helset, On-shell heavy particle effective theories
Original
2001
Cited alongside, same era.
N. Bahjat-Abbas, R. Stark-Muchão, and C. D. White, Monopoles, shockwaves and the classical double copy
Original
2001
Cited alongside, same era.
Z. Bern, H. Ita, J. Parra-Martinez, and M. S. Ruf, Universality in the classical limit of massless gravitational scattering
Original
2002
Cited alongside, same era.
N. Moynihan and J. Murugan, On-Shell Electric-Magnetic Duality and the Dual Graviton
Original
2002
Cited alongside, same era.
E. Lescano and J. A. Rodríguez, 𝒩 \mathcal{N} = 1 supersymmetric Double Field Theory and the generalized Kerr-Schild ansatz

Then

S. G. Prabhu, The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
Original
2011
Later among the works it cites.
A. Parnachev and K. Sen, Notes on AdS-Schwarzschild eikonal phase
Original
2011
Later among the works it cites.
M. A. Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, From amplitudes to gravitational radiation with cubic interactions and tidal effects
Original
2012
Later among the works it cites.
R. Gonzo and A. Pokraka, Light-ray operators, detectors and gravitational event shapes
Original
2012
Later among the works it cites.
L. de la Cruz, A scattering amplitudes approach to hard thermal loops

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2002

Cited alongside, same era.

C. Cheung and M. P. Solon, Classical gravitational scattering at 𝒪 \mathcal{O} (G 3

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2003

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A. Cristofoli, P. H. Damgaard, P. Di Vecchia, and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions

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2003

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A. Luna, S. Nagy, and C. D. White, The convolutional double copy: a case study with a point

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2004

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L. Alfonsi, C. D. White, and S. Wikeley, Topology and Wilson lines: global aspects of the double copy

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L. Borsten and S. Nagy, The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order

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2004

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R. Britto, F. Cachazo, B. Feng, and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory

2005

Cited alongside, same era.

Z. Bern, A. Luna, R. Roiban, C.-H. Shen, and M. Zeng, Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory

Original

2005

Cited alongside, same era.

Original

2012