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 , 1901.04424
Original
1901
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.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
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 12
Original
1906
Earlier work this paper cites.
A. Cristofoli, Post-Minkowskian Hamiltonians in Modified Theories of Gravity , Phys. Lett. B 800
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 , 1906.10071
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
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 , 1908.01493
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , JHEP 11
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang and J.-W. Kim, Classical potential for general spinning bodies , 1908.08463
Original
1908
Earlier work this paper cites.
M. Ruhdorfer, J. Serra and A. Weiler, Effective Field Theory of Gravity to All Orders , JHEP 05
Original
1908
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
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 , 1910.09366
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.
Q. Henry, G. Faye and L. Blanchet, Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order , Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
B. Bertotti, On gravitational motion , Il Nuovo Cimento (1956)
1956
Earlier work this paper cites.
B. Bertotti and J. Plebanski, Theory of gravitational perturbations in the fast motion approximation , Annals of Physics 11
1960
Earlier work this paper cites.
B. S. DeWitt, Quantum theory of gravity. ii. the manifestly covariant theory , Phys. Rev. 162
1967
Earlier work this paper cites.
Y. Iwasaki, Quantum Theory of Gravitation vs. Classical Theory*): Fourth-Order Potential , Progress of Theoretical Physics 46
1971
Earlier work this paper cites.
G. Passarino and M. Veltman, One-loop corrections for e + e − e+e- annihilation into μ + μ − \mu+\mu- in the weinberg model , Nuclear Physics B 160
1979
Earlier work this paper cites.
T. Damour, M. Soffel and C.-m. Xu, General relativistic celestial mechanics. 3. Rotational equations of motion , Phys. Rev. D 47
1993
Earlier work this paper cites.
J. F. Donoghue, Leading quantum correction to the Newtonian potential , Phys. Rev. Lett. 72
1994
Earlier work this paper cites.

Similar

J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections , Phys. Rev. D50
1994
Cited alongside, same era.
A. Buonanno and T. Damour, Effective one-body approach to general relativistic two-body dynamics , Phys. Rev. D 59
1999
Cited alongside, same era.
R. Aoude, K. Haddad and A. Helset, On-shell heavy particle effective theories , JHEP 05
Original
2001
Cited alongside, same era.
D. Bini, T. Damour and A. Geralico, Scattering of tidally interacting bodies in post-Minkowskian gravity , Phys. Rev. D 101
Original
2001
Cited alongside, same era.
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

Then

Z. Bern, J. Parra-Martinez, R. Roiban, E. Sawyer and C.-H. Shen, Leading Nonlinear Tidal Effects and Scattering Amplitudes , 2010.08559
Original
2010
Later among the works it cites.
D. Bini, T. Damour and G. Faye, Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description , Phys. Rev. D 85
Original
2012
Later among the works it cites.
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.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and P. Vanhove, On-shell Techniques and Universal Results in Quantum Gravity , JHEP 02
Original
2014
Later among the works it cites.
V. Vaidya, Gravitational spin Hamiltonians from the S matrix , Phys. Rev. D 91

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2020

Tidal effects in quantum field theory

Haddad, Kays, Helset, Andreas

Understand

We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor.

Such an extension of the action fully describes tidal effects arising from operators involving two powers of the curvature.
As an application of this new action, we compute all spinless tidal effects at the leading post-Minkowskian order.
This computation is greatly simplified by appealing to the heavy limit, where only a severely constrained set of operators can contribute classically at the one-loop level.

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 , 1901.04424
Original
1901
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.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
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 12
Original
1906
Earlier work this paper cites.
A. Cristofoli, Post-Minkowskian Hamiltonians in Modified Theories of Gravity , Phys. Lett. B 800
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 , 1906.10071
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
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 , 1908.01493
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , JHEP 11
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang and J.-W. Kim, Classical potential for general spinning bodies , 1908.08463
Original
1908
Earlier work this paper cites.
M. Ruhdorfer, J. Serra and A. Weiler, Effective Field Theory of Gravity to All Orders , JHEP 05
Original
1908
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
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 , 1910.09366
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.
Q. Henry, G. Faye and L. Blanchet, Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order , Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
B. Bertotti, On gravitational motion , Il Nuovo Cimento (1956)
1956
Earlier work this paper cites.
B. Bertotti and J. Plebanski, Theory of gravitational perturbations in the fast motion approximation , Annals of Physics 11
1960
Earlier work this paper cites.
B. S. DeWitt, Quantum theory of gravity. ii. the manifestly covariant theory , Phys. Rev. 162
1967
Earlier work this paper cites.
Y. Iwasaki, Quantum Theory of Gravitation vs. Classical Theory*): Fourth-Order Potential , Progress of Theoretical Physics 46
1971
Earlier work this paper cites.
G. Passarino and M. Veltman, One-loop corrections for e + e − e+e- annihilation into μ + μ − \mu+\mu- in the weinberg model , Nuclear Physics B 160
1979
Earlier work this paper cites.
T. Damour, M. Soffel and C.-m. Xu, General relativistic celestial mechanics. 3. Rotational equations of motion , Phys. Rev. D 47
1993
Earlier work this paper cites.
J. F. Donoghue, Leading quantum correction to the Newtonian potential , Phys. Rev. Lett. 72
1994
Earlier work this paper cites.

Similar

J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections , Phys. Rev. D50
1994
Cited alongside, same era.
A. Buonanno and T. Damour, Effective one-body approach to general relativistic two-body dynamics , Phys. Rev. D 59
1999
Cited alongside, same era.
R. Aoude, K. Haddad and A. Helset, On-shell heavy particle effective theories , JHEP 05
Original
2001
Cited alongside, same era.
D. Bini, T. Damour and A. Geralico, Scattering of tidally interacting bodies in post-Minkowskian gravity , Phys. Rev. D 101
Original
2001
Cited alongside, same era.
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

Then

Z. Bern, J. Parra-Martinez, R. Roiban, E. Sawyer and C.-H. Shen, Leading Nonlinear Tidal Effects and Scattering Amplitudes , 2010.08559
Original
2010
Later among the works it cites.
D. Bini, T. Damour and G. Faye, Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description , Phys. Rev. D 85
Original
2012
Later among the works it cites.
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.
N. E. J. Bjerrum-Bohr, J. F. Donoghue and P. Vanhove, On-shell Techniques and Universal Results in Quantum Gravity , JHEP 02
Original
2014
Later among the works it cites.
V. Vaidya, Gravitational spin Hamiltonians from the S matrix , Phys. Rev. D 91

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

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. D67

2003

Cited alongside, same era.

N. E. J. Bjerrum-Bohr, J. F. Donoghue and B. R. Holstein, Quantum corrections to the Schwarzschild and Kerr metrics , Phys. Rev. D 68

2003

Cited alongside, same era.

A. Cristofoli, P. H. Damgaard, P. Di Vecchia and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions , JHEP 07