Built on

Z. Bern, C. Cheung, R. Roiban, C. H. Shen, M. P. Solon and M. Zeng, 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 2PM eikonal and the dynamics of binary black holes,” arXiv:1904.02667 [hep-th]
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, “On higher-derivative effects on the gravitational potential and particle bending,” arXiv:1905.05657 [hep-th]
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,” arXiv:1905.08213 [hep-th]
Original
1905
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
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.
K. Westpfahl, “High-Speed Scattering of Charged and Uncharged Particles in General Relativity,” Fortsch.Phys.,33,417 (1985)
1985
Earlier work this paper cites.
T. Damour and G. Schaefer, “Higher Order Relativistic Periastron Advances and Binary Pulsars,” Nuovo Cim. B 101
1988
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.

Similar

J. F. Donoghue, “General relativity as an effective field theory: The leading quantum corrections,” Phys. Rev. D 50
1994
Cited alongside, same era.
J. F. Donoghue and T. Torma, “On the Power Counting of Loop Diagrams in General Relativity,” Phys. Rev. D 54
1996
Cited alongside, same era.
B. R. Holstein and J. F. Donoghue, “Classical physics and quantum loops,” Phys. Rev. Lett. 93
2004
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and B. R. Holstein, “Quantum gravitational corrections to the nonrelativistic scattering potential of two masses,” Phys. Rev. D 67
2005
Cited alongside, same era.
T. Ledvinka, G. Schafer and J. Bicak, “Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation,” Phys. Rev. Lett. 100
Original
2008
Cited alongside, same era.

Then

T. Damour, “Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory,” Phys. Rev. D 94
Original
2016
Later among the works it cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, G. Festuccia, L. Planté and P. Vanhove, “General Relativity from Scattering Amplitudes,” Phys. Rev. Lett. 121
Original
2018
Later among the works it cites.
C. Cheung, I. Z. Rothstein and M. P. Solon, Phys. Rev. Lett. 121
Original
2018
Later among the works it cites.
A. Cristofoli, “An Effective Field Theory Approach to the Two-Body Problem in General Relativity,” Master thesis Padua university 2018
2018
Later among the works it cites.
D. Bini and T. Damour, “Gravitational spin-orbit coupling in binary systems at the second post-Minkowskian approximation,” Phys. Rev. D 98

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2019

On Post-Minkowskian Hamiltonians in General Relativity

Cristofoli, Andrea, Bjerrum-Bohr, N. E. J., Damgaard, Poul H. et al.

Understand

We describe the computation of post-Minkowskian Hamiltonians in General Relativity from scattering amplitudes.

Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the post-Minkowskian Hamiltonians of classical General Relativity to any order in Newton's constant.
We illustrate this by deriving an Hamiltonian for binary black holes without spin up to 2nd order in the post-Minkowskian expansion and demonstrate explicitly the equivalence with the recently proposed method based on an effective field theory matching.

Built on

Z. Bern, C. Cheung, R. Roiban, C. H. Shen, M. P. Solon and M. Zeng, 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 2PM eikonal and the dynamics of binary black holes,” arXiv:1904.02667 [hep-th]
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, “On higher-derivative effects on the gravitational potential and particle bending,” arXiv:1905.05657 [hep-th]
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,” arXiv:1905.08213 [hep-th]
Original
1905
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
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.
K. Westpfahl, “High-Speed Scattering of Charged and Uncharged Particles in General Relativity,” Fortsch.Phys.,33,417 (1985)
1985
Earlier work this paper cites.
T. Damour and G. Schaefer, “Higher Order Relativistic Periastron Advances and Binary Pulsars,” Nuovo Cim. B 101
1988
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.

Similar

J. F. Donoghue, “General relativity as an effective field theory: The leading quantum corrections,” Phys. Rev. D 50
1994
Cited alongside, same era.
J. F. Donoghue and T. Torma, “On the Power Counting of Loop Diagrams in General Relativity,” Phys. Rev. D 54
1996
Cited alongside, same era.
B. R. Holstein and J. F. Donoghue, “Classical physics and quantum loops,” Phys. Rev. Lett. 93
2004
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and B. R. Holstein, “Quantum gravitational corrections to the nonrelativistic scattering potential of two masses,” Phys. Rev. D 67
2005
Cited alongside, same era.
T. Ledvinka, G. Schafer and J. Bicak, “Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation,” Phys. Rev. Lett. 100
Original
2008
Cited alongside, same era.