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.
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. 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 2001
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, “Observables and amplitudes for spinning particles and black holes,” JHEP 1912
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 1910
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. Siemonsen and J. Vines, “Test black holes, scattering amplitudes and perturbations of Kerr spacetime,” Phys. Rev. D 101
Original
1909
Earlier work this paper cites.
D. Bini, T. Damour and A. Geralico, “Novel approach to binary dynamics: application to the fifth post-Newtonian level,” Phys. Rev. Lett. 123
Original
1909
Earlier work this paper cites.
L. Barack, M. Colleoni, T. Damour, S. Isoyama and N. Sago, “Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime,” Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP 2001
Original
1910
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” arXiv:1910.09366 [hep-th]
Original
1910
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.
J. Blümlein, A. Maier, P. Marquard, G. Schäfer and C. Schneider, “From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms,” Phys. Lett. B 801
Original
1911
Earlier work this paper cites.
P. C. Aichelburg and R. U. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2
Original
1912
Earlier work this paper cites.
N. Bohr, “The penetration of atomic particles through matter,” Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd., 18
1948
Earlier work this paper cites.
E. Corinaldesi, “The Two-body Problem in the Theory of the Quantized Gravitational Field,” Proceedings of the Physical Society, Section A, 69
1956
Earlier work this paper cites.
B. Bertotti, “ On gravitational motion”, Nuovo Cimento 4
1956
Earlier work this paper cites.
K. W. Ford and J. A. Wheeler, “Semiclassical description of scattering,” Annals of Physics 7
1959
Earlier work this paper cites.
Ik-Ju Kang and Laurie M. Brown, “Higher Born Approximations for the Coulomb Scattering of a Spinless Particle”, Phys. Rev. 128
1962
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Volume 3 of A Course of Theoretical Physics
1965
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
B. M. Barker, S. N. Gupta and R. D. Haracz, “One-Graviton Exchange Interaction of Elementary Particles,” Phys. Rev. 149
1966
Earlier work this paper cites.
B. S. DeWitt, “Quantum Theory of Gravity. 3. Applications of the Covariant Theory,” Phys. Rev. 162
1967
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, “Derivation of the equations of motion of a gyroscope from the quantum theory of gravitation,” Phys. Rev. D 2
1970
Earlier work this paper cites.
P. C. Peters, “Relativistic gravitational bremsstrahlung,” Phys. Rev. D 1
1970
Earlier work this paper cites.
E. Corinaldesi, “Einstein-hoffmann-infeld equations and quantized gravitation,” Lett. Nuovo Cim. 2
1971
Earlier work this paper cites.
Y. Iwasaki, “Quantum theory of gravitation vs. classical theory. - fourth-order potential,” Prog. Theor. Phys. 46
1971
Earlier work this paper cites.
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory ( Volume 4 part 1 of A Course of Theoretical Physics)
1971
Earlier work this paper cites.

Similar

H. Okamura, T. Ohta, T. Kimura and K. Hiida, “Perturbation calculation of gravitational potentials,” Prog. Theor. Phys. 50
1973
Cited alongside, same era.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 3. Derivation of Bremsstrahlung Formulas,” Astrophys. J. 217
1977
Cited alongside, same era.
P. D. D’Eath, “High Speed Black Hole Encounters and Gravitational Radiation,” Phys. Rev. D 18
1978
Cited alongside, same era.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 4. Bremsstrahlung,” Astrophys. J. 224
1978
Cited alongside, same era.
K. Westpfahl and M. Goller, “Gravitational Scattering Of Two Relativistic Particles In Postlinear Approximation,” Lett. Nuovo Cim. 26
1979
Cited alongside, same era.

Then

D. Neill and I. Z. Rothstein, “Classical Space-Times from the S Matrix,” Nucl. Phys. B 877
Original
2013
Later among the works it cites.
R. Saotome and R. Akhoury, “Relationship Between Gravity and Gauge Scattering in the High Energy Limit,” JHEP 1301
Original
2013
Later among the works it cites.
S. Foffa and R. Sturani, “Tail terms in gravitational radiation reaction via effective field theory,” Phys. Rev. D 87
Original
2013
Later among the works it cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and P. Vanhove, “On-shell Techniques and Universal Results in Quantum Gravity,” JHEP 1402
Original
2014
Later among the works it cites.
M. Ciafaloni and D. Colferai, “Rescattering corrections and self-consistent metric in Planckian scattering,” JHEP 1410

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Reading the bibliography…

2019

Classical and quantum scattering in post-Minkowskian gravity

Damour, Thibault

Understand

New structural properties of post-Minkowskian (PM) gravity are derived, notably within its effective one body (EOB) formulation.

Our results concern both the mass dependence, and the high-energy behavior, of the classical scattering angle.
We generalize our previous work by deriving, up to the fourth post-Minkowskian (4PM) level included, the explicit links between the scattering angle and the two types of potentials entering the Hamiltonian description of PM dynamics within EOB theory.
We compute the scattering amplitude derived from quantizing the third post-Minkowskian (3PM) EOB radial potential (including the contributions coming from the Born iterations), and point out various subtleties in the relation between perturbative amplitudes and classical dynamics.

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.
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. 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 2001
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, “Observables and amplitudes for spinning particles and black holes,” JHEP 1912
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 1910
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. Siemonsen and J. Vines, “Test black holes, scattering amplitudes and perturbations of Kerr spacetime,” Phys. Rev. D 101
Original
1909
Earlier work this paper cites.
D. Bini, T. Damour and A. Geralico, “Novel approach to binary dynamics: application to the fifth post-Newtonian level,” Phys. Rev. Lett. 123
Original
1909
Earlier work this paper cites.
L. Barack, M. Colleoni, T. Damour, S. Isoyama and N. Sago, “Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime,” Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP 2001
Original
1910
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” arXiv:1910.09366 [hep-th]
Original
1910
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.
J. Blümlein, A. Maier, P. Marquard, G. Schäfer and C. Schneider, “From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms,” Phys. Lett. B 801
Original
1911
Earlier work this paper cites.
P. C. Aichelburg and R. U. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2
Original
1912
Earlier work this paper cites.
N. Bohr, “The penetration of atomic particles through matter,” Kgl. Danske Videnskab. Selskab, Mat.-Fys. Medd., 18
1948
Earlier work this paper cites.
E. Corinaldesi, “The Two-body Problem in the Theory of the Quantized Gravitational Field,” Proceedings of the Physical Society, Section A, 69
1956
Earlier work this paper cites.
B. Bertotti, “ On gravitational motion”, Nuovo Cimento 4
1956
Earlier work this paper cites.
K. W. Ford and J. A. Wheeler, “Semiclassical description of scattering,” Annals of Physics 7
1959
Earlier work this paper cites.
Ik-Ju Kang and Laurie M. Brown, “Higher Born Approximations for the Coulomb Scattering of a Spinless Particle”, Phys. Rev. 128
1962
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Volume 3 of A Course of Theoretical Physics
1965
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
B. M. Barker, S. N. Gupta and R. D. Haracz, “One-Graviton Exchange Interaction of Elementary Particles,” Phys. Rev. 149
1966
Earlier work this paper cites.
B. S. DeWitt, “Quantum Theory of Gravity. 3. Applications of the Covariant Theory,” Phys. Rev. 162
1967
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, “Derivation of the equations of motion of a gyroscope from the quantum theory of gravitation,” Phys. Rev. D 2
1970
Earlier work this paper cites.
P. C. Peters, “Relativistic gravitational bremsstrahlung,” Phys. Rev. D 1
1970
Earlier work this paper cites.
E. Corinaldesi, “Einstein-hoffmann-infeld equations and quantized gravitation,” Lett. Nuovo Cim. 2
1971
Earlier work this paper cites.
Y. Iwasaki, “Quantum theory of gravitation vs. classical theory. - fourth-order potential,” Prog. Theor. Phys. 46
1971
Earlier work this paper cites.
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory ( Volume 4 part 1 of A Course of Theoretical Physics)
1971
Earlier work this paper cites.

Similar

H. Okamura, T. Ohta, T. Kimura and K. Hiida, “Perturbation calculation of gravitational potentials,” Prog. Theor. Phys. 50
1973
Cited alongside, same era.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 3. Derivation of Bremsstrahlung Formulas,” Astrophys. J. 217
1977
Cited alongside, same era.
P. D. D’Eath, “High Speed Black Hole Encounters and Gravitational Radiation,” Phys. Rev. D 18
1978
Cited alongside, same era.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 4. Bremsstrahlung,” Astrophys. J. 224
1978
Cited alongside, same era.
K. Westpfahl and M. Goller, “Gravitational Scattering Of Two Relativistic Particles In Postlinear Approximation,” Lett. Nuovo Cim. 26
1979
Cited alongside, same era.

Then

D. Neill and I. Z. Rothstein, “Classical Space-Times from the S Matrix,” Nucl. Phys. B 877
Original
2013
Later among the works it cites.
R. Saotome and R. Akhoury, “Relationship Between Gravity and Gauge Scattering in the High Energy Limit,” JHEP 1301
Original
2013
Later among the works it cites.
S. Foffa and R. Sturani, “Tail terms in gravitational radiation reaction via effective field theory,” Phys. Rev. D 87
Original
2013
Later among the works it cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and P. Vanhove, “On-shell Techniques and Universal Results in Quantum Gravity,” JHEP 1402
Original
2014
Later among the works it cites.
M. Ciafaloni and D. Colferai, “Rescattering corrections and self-consistent metric in Planckian scattering,” JHEP 1410

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

M. Portilla, “Scattering Of Two Gravitating Particles: Classical Approach,” J. Phys. A 13

1980

Cited alongside, same era.

L. Bel, T. Damour, N. Deruelle, J. Ibanez and J. Martin, “Poincaré-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity,” Gen. Rel. Grav. 13

1981

Cited alongside, same era.

K. Westpfahl, “High-Speed Scattering of Charged and Uncharged Particles in General Relativity,” Fortschr. Physik 33

1985

Cited alongside, same era.

K. Westpfahl, R. Möhles and H Simonis “Energy-momentum conservation for gravitational two-body scattering in the post-linear approximation,” Classical and Quantum Gravity, 4

1987

Cited alongside, same era.

G. ’t Hooft, “Graviton Dominance in Ultrahigh-Energy Scattering,” Phys. Lett. B 198

1987

Cited alongside, same era.

T. Damour and G. Schäfer, “Higher Order Relativistic Periastron Advances and Binary Pulsars,” Nuovo Cim. B 101

1988

Cited alongside, same era.

L. Blanchet and T. Damour, “Tail Transported Temporal Correlations in the Dynamics of a Gravitating System,” Phys. Rev. D 37

1988

Cited alongside, same era.