Built on

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.
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. Campoleoni, D. Francia and C. Heissenberg, Electromagnetic and color memory in even dimensions , Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
D. J. Burger, W. T. Emond and N. Moynihan, Rotating Black Holes in Cubic Gravity , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
D. M. Wolkow, Über eine Klasse von Losungen der Diracschen Gleichung , Z. Phys. 94
1935
Earlier work this paper cites.
A. H. Taub, Orbits of Charged Particles in Constant Fields , Phys. Rev. 73
1948
Earlier work this paper cites.
N. D. Sengupta, On the scattering of electromagnetic waves by free electron-1: classical theory , Bulletin of the Calcutta Mathematical Society 41
1949
Earlier work this paper cites.
W. H. Furry, On Bound States and Scattering in Positron Theory , Phys. Rev. 81
1951
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.
B. S. DeWitt, Quantum Theory of Gravity. 2. The Manifestly Covariant Theory , Phys. Rev. 162
1967
Earlier work this paper cites.
P. C. Aichelburg and R. U. Sexl, On the Gravitational field of a massless particle , Gen. Rel. Grav. 2
1971
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.
B. S. DeWitt, Quantum Field Theory in Curved Space-Time , Phys. Rept. 19
1975
Earlier work this paper cites.
G. ’t Hooft, The Background Field Method in Gauge Field Theories , in 12th Annual Winter School of Theoretical Physics , 1975
1975
Earlier work this paper cites.
S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Earlier work this paper cites.
G. W. Gibbons, Vacuum Polarization and the Spontaneous Loss of Charge by Black Holes , Commun. Math. Phys. 44
1975
Earlier work this paper cites.
N. M. J. Woodhouse, Particle Creation by Gravitational Fields , Phys. Rev. Lett. 36
1976
Earlier work this paper cites.
L. F. Abbott, Introduction to the Background Field Method , Acta Phys. Polon. B 13
1982
Earlier work this paper cites.

Similar

T. Dray and G. ’t Hooft, The Gravitational Shock Wave of a Massless Particle , Nucl. Phys. B 253
1985
Cited alongside, same era.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering , Phys. Lett. B 198
1987
Cited alongside, same era.
R. S. Ward, Progressing waves in flat space-time and in plane wave space-times , Class. Quant. Grav. 4
1987
Cited alongside, same era.
C. Klimcik, Quantum Field Theory in Gravitational Shock Wave Background , Phys. Lett. B 208
1988
Cited alongside, same era.
L. J. Mason, On Ward’s integral formula for the wave equation in plane wave space-times , Twistor Newsletter 28
1989
Cited alongside, same era.
J. Garriga and E. Verdaguer, Scattering of quantum particles by gravitational plane waves , Phys. Rev. D 43

Then

M. Mirbabayi and M. Porrati, Dressed Hard States and Black Hole Soft Hair , Phys. Rev. Lett. 117
Original
2016
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B. Gabai and A. Sever, Large gauge symmetries and asymptotic states in QED , JHEP 12
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2016
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P. M. Zhang, C. Duval, G. W. Gibbons and P. A. Horvathy, The Memory Effect for Plane Gravitational Waves , Phys. Lett. B 772
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2017
Later among the works it cites.
S. Pasterski, Asymptotic Symmetries and Electromagnetic Memory , JHEP 09
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2017
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2022

Classical physics from amplitudes on curved backgrounds

Adamo, Tim, Cristofoli, Andrea, Ilderton, Anton

Understand

We generalise the Kosower-Maybee-O'Connell (KMOC) formalism relating classical observables and scattering amplitudes to curved backgrounds.

We show how to compute the final semiclassical state for a particle moving in a curved background in terms of scattering amplitudes on that background.
Two-point amplitudes in this framework correspond to conservative physics with background-dependent memory effects.
As an application, we consider plane wave and shockwave backgrounds both in electromagnetism and general relativity.

Built on

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.
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. Campoleoni, D. Francia and C. Heissenberg, Electromagnetic and color memory in even dimensions , Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
D. J. Burger, W. T. Emond and N. Moynihan, Rotating Black Holes in Cubic Gravity , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
D. M. Wolkow, Über eine Klasse von Losungen der Diracschen Gleichung , Z. Phys. 94
1935
Earlier work this paper cites.
A. H. Taub, Orbits of Charged Particles in Constant Fields , Phys. Rev. 73
1948
Earlier work this paper cites.
N. D. Sengupta, On the scattering of electromagnetic waves by free electron-1: classical theory , Bulletin of the Calcutta Mathematical Society 41
1949
Earlier work this paper cites.
W. H. Furry, On Bound States and Scattering in Positron Theory , Phys. Rev. 81
1951
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.
B. S. DeWitt, Quantum Theory of Gravity. 2. The Manifestly Covariant Theory , Phys. Rev. 162
1967
Earlier work this paper cites.
P. C. Aichelburg and R. U. Sexl, On the Gravitational field of a massless particle , Gen. Rel. Grav. 2
1971
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.
B. S. DeWitt, Quantum Field Theory in Curved Space-Time , Phys. Rept. 19
1975
Earlier work this paper cites.
G. ’t Hooft, The Background Field Method in Gauge Field Theories , in 12th Annual Winter School of Theoretical Physics , 1975
1975
Earlier work this paper cites.
S. W. Hawking, Particle Creation by Black Holes , Commun. Math. Phys. 43
1975
Earlier work this paper cites.
G. W. Gibbons, Vacuum Polarization and the Spontaneous Loss of Charge by Black Holes , Commun. Math. Phys. 44
1975
Earlier work this paper cites.
N. M. J. Woodhouse, Particle Creation by Gravitational Fields , Phys. Rev. Lett. 36
1976
Earlier work this paper cites.
L. F. Abbott, Introduction to the Background Field Method , Acta Phys. Polon. B 13
1982
Earlier work this paper cites.

Similar

T. Dray and G. ’t Hooft, The Gravitational Shock Wave of a Massless Particle , Nucl. Phys. B 253
1985
Cited alongside, same era.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering , Phys. Lett. B 198
1987
Cited alongside, same era.
R. S. Ward, Progressing waves in flat space-time and in plane wave space-times , Class. Quant. Grav. 4
1987
Cited alongside, same era.
C. Klimcik, Quantum Field Theory in Gravitational Shock Wave Background , Phys. Lett. B 208
1988
Cited alongside, same era.
L. J. Mason, On Ward’s integral formula for the wave equation in plane wave space-times , Twistor Newsletter 28
1989
Cited alongside, same era.
J. Garriga and E. Verdaguer, Scattering of quantum particles by gravitational plane waves , Phys. Rev. D 43