Built on

W. Tulczyjew, Equations of motion of rotating bodies in general relativity theory , Acta Phys. Polon 1
1959
Earlier work this paper cites.
M. J. Duff, Quantum Tree Graphs and the Schwarzschild Solution , Phys. Rev. D
1973
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, Gravitational Two-Body Problem with Arbitrary Masses, Spins, and Quadrupole Moments , Phys. Rev. D
1975
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
1986
Earlier work this paper cites.
G. J. van Oldenborgh and J. A. M. Vermaseren, New Algorithms for One Loop Integrals , Z. Phys. C
1990
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 , Nucl. Phys. B
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 , Nucl. Phys. B
1995
Earlier work this paper cites.
J. F. Donoghue, B. R. Holstein, B. Garbrecht and T. Konstandin, Quantum corrections to the Reissner-Nordstrom and Kerr-Newman metrics , Phys. Lett. B
2002
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and B. R. Holstein, Quantum corrections to the Schwarzschild and Kerr metrics , Phys. Rev. D
2003
Earlier work this paper cites.
Cambridge University Press, 2005
S. Weinberg, The quantum theory of fields. Vol. 1: Foundations · 2005
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D
2006
Earlier work this paper cites.

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2019

Classical potential for general spinning bodies

Chung, Ming-Zhi, Huang, Yu-tin, Kim, Jung-Wook

Understand

In this paper we compute the spin-dependent terms of the gravitational potential for general spinning bodies at the leading Newton's constant $G$ and to all orders in spin.

We utilize the on-shell approach, which extracts the classical potential directly from the scattering amplitude.
For spinning particles, extra care is required due to the fact that the spin space of each particle is independent.
Once the appropriate matching procedures are applied, taking the classical-spin limit we obtain the potential for general spinning bodies.

Built on

W. Tulczyjew, Equations of motion of rotating bodies in general relativity theory , Acta Phys. Polon 1
1959
Earlier work this paper cites.
M. J. Duff, Quantum Tree Graphs and the Schwarzschild Solution , Phys. Rev. D
1973
Earlier work this paper cites.
B. M. Barker and R. F. O’Connell, Gravitational Two-Body Problem with Arbitrary Masses, Spins, and Quadrupole Moments , Phys. Rev. D
1975
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
1986
Earlier work this paper cites.
G. J. van Oldenborgh and J. A. M. Vermaseren, New Algorithms for One Loop Integrals , Z. Phys. C
1990
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 , Nucl. Phys. B
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 , Nucl. Phys. B
1995
Earlier work this paper cites.
J. F. Donoghue, B. R. Holstein, B. Garbrecht and T. Konstandin, Quantum corrections to the Reissner-Nordstrom and Kerr-Newman metrics , Phys. Lett. B
2002
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and B. R. Holstein, Quantum corrections to the Schwarzschild and Kerr metrics , Phys. Rev. D
2003
Earlier work this paper cites.
Cambridge University Press, 2005
S. Weinberg, The quantum theory of fields. Vol. 1: Foundations · 2005
Earlier work this paper cites.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects , Phys. Rev. D
2006
Earlier work this paper cites.