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.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, Energetics of two-body Hamiltonians in post-Minkowskian gravity , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
E. E. Flanagan, A. M. Grant, A. I. Harte and D. A. Nichols, Persistent gravitational wave observables: general framework , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
S. Foffa, P. Mastrolia, R. Sturani, C. Sturm and W. J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order , Phys. Rev. Lett. 122
Original
1902
Earlier work this paper cites.
S. Foffa, R. A. Porto, I. Rothstein and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian , Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian , Phys. Rev. D 100
Original
1903
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 , Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending , JHEP 01
Original
1905
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , JHEP 12
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 , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr black holes as elementary particles , JHEP 01
Original
1906
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, Post-Minkowskian Hamiltonians in general relativity , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
S. Foffa and R. Sturani, Hereditary terms at next-to-leading order in two-body gravitational dynamics , Phys. Rev. D 101
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 , JHEP 10
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 , Phys. Lett. B 798
Original
1908
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , JHEP 08
Original
1910
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 , Phys. Rev. D 101
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 , JHEP 03
Original
1911
Earlier work this paper cites.
M. Levi, S. Mougiakakos and M. Vieira, Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order , JHEP 01
Original
1912
Earlier work this paper cites.
L. Blanchet, S. Foffa, F. Larrouturou and R. Sturani, Logarithmic tail contributions to the energy function of circular compact binaries , Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, An Effective Field Theory of Quantum Mechanical Black Hole Horizons , JHEP 04
Original
1912
Earlier work this paper cites.
H. W. Brinkmann, Einstein spapces which are mapped conformally on each other , Math. Ann. 94
1925
Earlier work this paper cites.
D. M. Wolkow, Uber eine Klasse von Losungen der Diracschen Gleichung , Z. Phys. 94
1935
Earlier work this paper cites.
A. Einstein and N. Rosen, On gravitational waves , Journal of the Franklin Institute 223
1937
Earlier work this paper cites.
J. S. Schwinger, On gauge invariance and vacuum polarization , Phys. Rev. 82
1951
Earlier work this paper cites.
T. W. B. Kibble, Frequency Shift in High-Intensity Compton Scattering , Phys. Rev. 138
1965
Earlier work this paper cites.
L. M. Frantz, Compton scattering of an intense photon beam , Phys. Rev. 139
1965
Earlier work this paper cites.
L. M. Frantz, Compton scattering of an intense photon beam , Phys. Rev. 139
1965
Earlier work this paper cites.
G. W. Gibbons, Quantized Fields Propagating in Plane Wave Space-Times , Commun. Math. Phys. 45
1975
Earlier work this paper cites.
V. I. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field , Journal of Soviet Laser Research 6
1985
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. B 269
1986
Earlier work this paper cites.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering , Phys. Lett. B 198
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Superstring Collisions at Planckian Energies , Phys. Lett. B 197
1987
Earlier work this paper cites.
R. S. Ward, Progressing waves in flat space-time and in plane wave space-times , Class. Quant. Grav. 4
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions , Int. J. Mod. Phys. A 3
1988
Earlier work this paper cites.
S. Gavrilov and D. Gitman, Qed interpretation of external field and external current , Sov. J. Nucl. Phys 51
1990
Earlier work this paper cites.
V. S. Krivitsky and V. N. Tsytovich, Average radiation reaction force in quantum electrodynamics , Sov. Phys. Usp. 34
1991
Earlier work this paper cites.
J. Garriga and E. Verdaguer, Scattering of quantum particles by gravitational plane waves , Phys. Rev. D 43
1991
Earlier work this paper cites.
R. Jackiw, D. N. Kabat and M. Ortiz, Electromagnetic fields of a massless particle and the eikonal , Phys. Lett. B 277
1992
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering , Nucl. Phys. B 388
1992
Earlier work this paper cites.
C. Schubert, An Introduction to the worldline technique for quantum field theory calculations , Acta Phys. Polon. B 27
1996
Earlier work this paper cites.
R. Aoude, K. Haddad and A. Helset, On-shell heavy particle effective theories , JHEP 05
Original
2001
Earlier work this paper cites.
Z. Bern, H. Ita, J. Parra-Martinez and M. S. Ruf, Universality in the classical limit of massless gravitational scattering , Phys. Rev. Lett. 125
Original
2002
Earlier work this paper cites.
A. Higuchi, Radiation reaction in quantum field theory , Phys. Rev. D 66
2002
Earlier work this paper cites.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions , JHEP 07
Original
2003
Earlier work this paper cites.
M. Levi, A. J. Mcleod and M. Von Hippel, N 3
Original
2003
Earlier work this paper cites.
J. Blümlein, A. Maier, P. Marquard and G. Schäfer, Testing binary dynamics in gravity at the sixth post-Newtonian level , Phys. Lett. B 807
Original
2003
Earlier work this paper cites.
M. Levi, A. J. Mcleod and M. Von Hippel, N 3
Original
2003
Earlier work this paper cites.
I. Bialynicki-Birula, Particle beams guided by electromagnetic vortices: New solutions of the Lorentz, Schrodinger, Klein-Gordon and Dirac equations , Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
E. Poisson, The Motion of point particles in curved space-time , Living Rev. Rel. 7
2004
Earlier work this paper cites.
Z. Bern, A. Luna, R. Roiban, C.-H. Shen and M. Zeng, Spinning black hole binary dynamics, scattering amplitudes, and effective field theory , Phys. Rev. D 104
Original
2005
Earlier work this paper cites.
J. Parra-Martinez, M. S. Ruf and M. Zeng, Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations , JHEP 11
Original
2005
Earlier work this paper cites.
T. Adamo and A. Ilderton, Classical and quantum double copy of back-reaction , JHEP 09
Original
2005
Earlier work this paper cites.
M. Accettulli Huber, A. Brandhuber, S. De Angelis and G. Travaglini, Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity , Phys. Rev. D 102
Original
2006
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D 73
2006
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, Dissipative effects in the worldline approach to black hole dynamics , Phys. Rev. D 73
2006
Earlier work this paper cites.
G. Kälin and R. A. Porto, Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics , JHEP 11
Original
2006
Earlier work this paper cites.
G. Kälin, Z. Liu and R. A. Porto, Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach , Phys. Rev. Lett. 125
Original
2007
Earlier work this paper cites.
Cambridge University Press, 1, 2007
M. Srednicki, Quantum field theory · 2007
Earlier work this paper cites.

Similar

M. Levi and F. Teng, NLO gravitational quartic-in-spin interaction , JHEP 01
Original
2008
Cited alongside, same era.
P. Di Vecchia, C. Heissenberg, R. Russo and G. Veneziano, Universality of ultra-relativistic gravitational scattering , Phys. Lett. B 811
Original
2008
Cited alongside, same era.
G. Kälin, Z. Liu and R. A. Porto, Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order , Phys. Rev. D 102
Original
2008
Cited alongside, same era.
D. Bini, T. Damour, A. Geralico, S. Laporta and P. Mastrolia, Gravitational dynamics at O ⁡ ( G 6 ) O(G^{6}) : perturbative gravitational scattering meets experimental mathematics , 2008.09389
Original
2008
Cited alongside, same era.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D 78

Then

W. D. Goldberger and A. K. Ridgway, Bound states and the classical double copy , Phys. Rev. D 97
Original
2018
Later among the works it cites.
A. Ilderton and D. Seipt, Backreaction on background fields: A coherent state approach , Phys. Rev. D 97
Original
2018
Later among the works it cites.
T. Wistisen et al., Experimental evidence of quantum radiation reaction in aligned crystals , Nature Commun. 9
Original
2018
Later among the works it cites.
J. M. Cole et al., Experimental evidence of radiation reaction in the collision of a high-intensity laser pulse with a laser-wakefield accelerated electron beam , Phys. Rev. X 8
Original
2018
Later among the works it cites.
K. Poder et al., Experimental Signatures of the Quantum Nature of Radiation Reaction in the Field of an Ultraintense Laser , Phys. Rev. X 8

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2022

Large Gauge Effects and the Structure of Amplitudes

Cristofoli, Andrea, Elkhidir, Asaad, Ilderton, Anton et al.

Understand

We show that large gauge transformations modify the structure of momentum conservation leading to non-vanishing three-point amplitudes in a simple toy model of a gravitational wave event.

This phenomenon resolves an apparent tension between perturbative scattering amplitude computations and exact methods in field theory.
The tension is resolved to all orders of perturbation theory once large gauge effects are included via a modified LSZ prescription; if they are omitted, perturbative methods only recover a subset of terms in the full non-perturbative expression.
Although our results are derived in the context of specific examples, several aspects of our work have analogues in dynamical gravitational scattering processes.

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.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, Energetics of two-body Hamiltonians in post-Minkowskian gravity , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
E. E. Flanagan, A. M. Grant, A. I. Harte and D. A. Nichols, Persistent gravitational wave observables: general framework , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
S. Foffa, P. Mastrolia, R. Sturani, C. Sturm and W. J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order , Phys. Rev. Lett. 122
Original
1902
Earlier work this paper cites.
S. Foffa, R. A. Porto, I. Rothstein and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian , Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian , Phys. Rev. D 100
Original
1903
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 , Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending , JHEP 01
Original
1905
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , JHEP 12
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 , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr black holes as elementary particles , JHEP 01
Original
1906
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, Post-Minkowskian Hamiltonians in general relativity , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
S. Foffa and R. Sturani, Hereditary terms at next-to-leading order in two-body gravitational dynamics , Phys. Rev. D 101
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 , JHEP 10
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 , Phys. Lett. B 798
Original
1908
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , JHEP 08
Original
1910
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 , Phys. Rev. D 101
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 , JHEP 03
Original
1911
Earlier work this paper cites.
M. Levi, S. Mougiakakos and M. Vieira, Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order , JHEP 01
Original
1912
Earlier work this paper cites.
L. Blanchet, S. Foffa, F. Larrouturou and R. Sturani, Logarithmic tail contributions to the energy function of circular compact binaries , Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, An Effective Field Theory of Quantum Mechanical Black Hole Horizons , JHEP 04
Original
1912
Earlier work this paper cites.
H. W. Brinkmann, Einstein spapces which are mapped conformally on each other , Math. Ann. 94
1925
Earlier work this paper cites.
D. M. Wolkow, Uber eine Klasse von Losungen der Diracschen Gleichung , Z. Phys. 94
1935
Earlier work this paper cites.
A. Einstein and N. Rosen, On gravitational waves , Journal of the Franklin Institute 223
1937
Earlier work this paper cites.
J. S. Schwinger, On gauge invariance and vacuum polarization , Phys. Rev. 82
1951
Earlier work this paper cites.
T. W. B. Kibble, Frequency Shift in High-Intensity Compton Scattering , Phys. Rev. 138
1965
Earlier work this paper cites.
L. M. Frantz, Compton scattering of an intense photon beam , Phys. Rev. 139
1965
Earlier work this paper cites.
L. M. Frantz, Compton scattering of an intense photon beam , Phys. Rev. 139
1965
Earlier work this paper cites.
G. W. Gibbons, Quantized Fields Propagating in Plane Wave Space-Times , Commun. Math. Phys. 45
1975
Earlier work this paper cites.
V. I. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field , Journal of Soviet Laser Research 6
1985
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. B 269
1986
Earlier work this paper cites.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering , Phys. Lett. B 198
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Superstring Collisions at Planckian Energies , Phys. Lett. B 197
1987
Earlier work this paper cites.
R. S. Ward, Progressing waves in flat space-time and in plane wave space-times , Class. Quant. Grav. 4
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions , Int. J. Mod. Phys. A 3
1988
Earlier work this paper cites.
S. Gavrilov and D. Gitman, Qed interpretation of external field and external current , Sov. J. Nucl. Phys 51
1990
Earlier work this paper cites.
V. S. Krivitsky and V. N. Tsytovich, Average radiation reaction force in quantum electrodynamics , Sov. Phys. Usp. 34
1991
Earlier work this paper cites.
J. Garriga and E. Verdaguer, Scattering of quantum particles by gravitational plane waves , Phys. Rev. D 43
1991
Earlier work this paper cites.
R. Jackiw, D. N. Kabat and M. Ortiz, Electromagnetic fields of a massless particle and the eikonal , Phys. Lett. B 277
1992
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering , Nucl. Phys. B 388
1992
Earlier work this paper cites.
C. Schubert, An Introduction to the worldline technique for quantum field theory calculations , Acta Phys. Polon. B 27
1996
Earlier work this paper cites.
R. Aoude, K. Haddad and A. Helset, On-shell heavy particle effective theories , JHEP 05
Original
2001
Earlier work this paper cites.
Z. Bern, H. Ita, J. Parra-Martinez and M. S. Ruf, Universality in the classical limit of massless gravitational scattering , Phys. Rev. Lett. 125
Original
2002
Earlier work this paper cites.
A. Higuchi, Radiation reaction in quantum field theory , Phys. Rev. D 66
2002
Earlier work this paper cites.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions , JHEP 07
Original
2003
Earlier work this paper cites.
M. Levi, A. J. Mcleod and M. Von Hippel, N 3
Original
2003
Earlier work this paper cites.
J. Blümlein, A. Maier, P. Marquard and G. Schäfer, Testing binary dynamics in gravity at the sixth post-Newtonian level , Phys. Lett. B 807
Original
2003
Earlier work this paper cites.
M. Levi, A. J. Mcleod and M. Von Hippel, N 3
Original
2003
Earlier work this paper cites.
I. Bialynicki-Birula, Particle beams guided by electromagnetic vortices: New solutions of the Lorentz, Schrodinger, Klein-Gordon and Dirac equations , Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
E. Poisson, The Motion of point particles in curved space-time , Living Rev. Rel. 7
2004
Earlier work this paper cites.
Z. Bern, A. Luna, R. Roiban, C.-H. Shen and M. Zeng, Spinning black hole binary dynamics, scattering amplitudes, and effective field theory , Phys. Rev. D 104
Original
2005
Earlier work this paper cites.
J. Parra-Martinez, M. S. Ruf and M. Zeng, Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations , JHEP 11
Original
2005
Earlier work this paper cites.
T. Adamo and A. Ilderton, Classical and quantum double copy of back-reaction , JHEP 09
Original
2005
Earlier work this paper cites.
M. Accettulli Huber, A. Brandhuber, S. De Angelis and G. Travaglini, Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity , Phys. Rev. D 102
Original
2006
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D 73
2006
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, Dissipative effects in the worldline approach to black hole dynamics , Phys. Rev. D 73
2006
Earlier work this paper cites.
G. Kälin and R. A. Porto, Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics , JHEP 11
Original
2006
Earlier work this paper cites.
G. Kälin, Z. Liu and R. A. Porto, Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach , Phys. Rev. Lett. 125
Original
2007
Earlier work this paper cites.
Cambridge University Press, 1, 2007
M. Srednicki, Quantum field theory · 2007
Earlier work this paper cites.

Similar

M. Levi and F. Teng, NLO gravitational quartic-in-spin interaction , JHEP 01
Original
2008
Cited alongside, same era.
P. Di Vecchia, C. Heissenberg, R. Russo and G. Veneziano, Universality of ultra-relativistic gravitational scattering , Phys. Lett. B 811
Original
2008
Cited alongside, same era.
G. Kälin, Z. Liu and R. A. Porto, Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order , Phys. Rev. D 102
Original
2008
Cited alongside, same era.
D. Bini, T. Damour, A. Geralico, S. Laporta and P. Mastrolia, Gravitational dynamics at O ⁡ ( G 6 ) O(G^{6}) : perturbative gravitational scattering meets experimental mathematics , 2008.09389
Original
2008
Cited alongside, same era.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D 78

Then

W. D. Goldberger and A. K. Ridgway, Bound states and the classical double copy , Phys. Rev. D 97
Original
2018
Later among the works it cites.
A. Ilderton and D. Seipt, Backreaction on background fields: A coherent state approach , Phys. Rev. D 97
Original
2018
Later among the works it cites.
T. Wistisen et al., Experimental evidence of quantum radiation reaction in aligned crystals , Nature Commun. 9
Original
2018
Later among the works it cites.
J. M. Cole et al., Experimental evidence of radiation reaction in the collision of a high-intensity laser pulse with a laser-wakefield accelerated electron beam , Phys. Rev. X 8
Original
2018
Later among the works it cites.
K. Poder et al., Experimental Signatures of the Quantum Nature of Radiation Reaction in the Field of an Ultraintense Laser , Phys. Rev. X 8

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

2008

Cited alongside, same era.

C. Harvey, T. Heinzl and A. Ilderton, Signatures of High-Intensity Compton Scattering , Phys. Rev. A 79

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2009

Cited alongside, same era.

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Cited alongside, same era.

G. Mogull, J. Plefka and J. Steinhoff, Classical black hole scattering from a worldline quantum field theory , JHEP 02

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Cited alongside, same era.

T. Damour, Radiative contribution to classical gravitational scattering at the third order in G G , Phys. Rev. D 102

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2010

Cited alongside, same era.

Z. Bern, J. J. M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory , Phys. Rev. Lett. 105

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Cited alongside, same era.

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2018