Scalar QED as a toy model for higher-order effects in classical gravitational scattering

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.

S. Foffa, P. Mastrolia, R. Sturani, C. Sturm and W. J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order , Phys. Rev. Lett. 122

Original

1902

Earlier work this paper cites.

J. Blümlein, A. Maier and P. Marquard, Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses , Phys. Lett. B 800

Original

1902

Earlier work this paper cites.

S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian , Phys. Rev. D 100

Original

1903

Earlier work this paper cites.

S. Foffa, R. A. Porto, I. Rothstein and R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian , Phys. Rev. D 100

Original

1903

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. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending , JHEP 01

Original

1905

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.

D. Reitze et al., Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO , Bull. Am. Astron. Soc. 51

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 10

Original

1908

Earlier work this paper cites.

M.-Z. Chung, Y.-T. Huang and J.-W. Kim, Classical potential for general spinning bodies , JHEP 09

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.

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.

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.

Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications , 1909.01358

Original

1909

Earlier work this paper cites.

G. Kälin and R. A. Porto, From Boundary Data to Bound States , JHEP 01

Original

1910

Earlier work this paper cites.

G. Kälin and R. A. Porto, From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) , JHEP 02

Original

1911

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.

M. Abraham, Theorie der Elektrizität . BG Teubner, 1912

1912

Earlier work this paper cites.

J. Droste, The field of n n moving centres in Einstein’s theory of gravitation , Proc. Acad. Sci. Amst. 26

1916

Earlier work this paper cites.

A. Einstein, L. Infeld and B. Hoffmann, The Gravitational equations and the problem of motion , Annals Math. 39

1938

Earlier work this paper cites.

P. A. M. Dirac, Classical theory of radiating electrons , Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 167

1938

Earlier work this paper cites.

B. Bertotti, On gravitational motion , Nuovo Cimento 4

1956

Earlier work this paper cites.

R. P. Kerr, The Lorentz-covariant approximation method in general relativity I , Nuovo Cim. 13

1959

Earlier work this paper cites.

W. Bonnor, Spherical gravitational waves , Philos. Trans. R. Soc. London A 251

1959

Earlier work this paper cites.

R. J. Glauber, Lectures in theoretical physics , Interscience Publishers Inc., New York I

1959

Earlier work this paper cites.

B. Bertotti and J. Plebanski, Theory of gravitational perturbations in the fast motion approximation , Annals Phys. 11

1960

Earlier work this paper cites.

W. Bonnor and M. Rotenberg, Gravitational waves from isolated sources , Proc. R. Soc. London Ser A 289

1966

Earlier work this paper cites.

L. D. Landau and E. M. Lifshitz, Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) . Butterworth-Heinemann, 3 ed., Jan., 1976

1976

Earlier work this paper cites.

M. Portilla, Momentum and angular momentum of two gravitating particles , J. Phys. A 12

1979

Earlier work this paper cites.

K. Westpfahl and M. Goller, Gravitational scattering of two relativistic particles in postlinear approximation , Lett. Nuovo Cim. 26

1979

Earlier work this paper cites.

K. S. Thorne, Multipole Expansions of Gravitational Radiation , Rev. Mod. Phys. 52

1980

Earlier work this paper cites.

L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields . Butterworth-Heinemann, 4 ed., Jan., 1980

1980

Earlier work this paper cites.

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

Earlier work this paper cites.

F. V. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions , Phys. Lett. B 100

1981

Earlier work this paper cites.

K. Chetyrkin and F. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops , Nucl. Phys. B 192

1981

Earlier work this paper cites.

K. Westpfahl, High-Speed Scattering of Charged and Uncharged Particles in General Relativity , Fortsch. Phys. 33

1985

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 269

1986

Earlier work this paper cites.

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

1988

Earlier work this paper cites.

D. Amati, M. Ciafaloni and G. Veneziano, Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions , Nucl. Phys. B 347

1990

Earlier work this paper cites.

A. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation , Phys. Lett. B 254

1991

Earlier work this paper cites.

L. Blanchet and T. Damour, Hereditary effects in gravitational radiation , Phys. Rev. D 46

1992

Earlier work this paper cites.

Z. Bern, L. J. Dixon and D. A. Kosower, Dimensionally regulated one loop integrals , Phys. Lett. B 302

1993

Earlier work this paper cites.

L. Blanchet and G. Schaefer, Gravitational wave tails and binary star systems , Class. Quant. Grav. 10

1993

Cited alongside, same era.

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 425

1994

Cited alongside, same era.

Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes , Nucl. Phys. B 435

1995

Cited alongside, same era.

Y. Mino, M. Sasaki and T. Tanaka, Gravitational radiation reaction to a particle motion , Phys. Rev. D 55

1997

Cited alongside, same era.

T. C. Quinn and R. M. Wald, An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time , Phys. Rev. D 56

1997

Cited alongside, same era.

Z. Bern, J. J. M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory , Phys. Rev. Lett. 105

Original

2010

Later among the works it cites.

C. Cheung, N. Shah and M. P. Solon, Mining the Geodesic Equation for Scattering Data , Phys. Rev. D 103

Original

2010

Later among the works it cites.

Z. Bern, J. Parra-Martinez, R. Roiban, E. Sawyer and C.-H. Shen, Leading Nonlinear Tidal Effects and Scattering Amplitudes , JHEP 05

Original

2010

Later among the works it cites.

T. Damour, Radiative contribution to classical gravitational scattering at the third order in G G , Phys. Rev. D 102

Original

2010

Later among the works it cites.

C. R. Galley, A. K. Leibovich and I. Z. Rothstein, Finite size corrections to the radiation reaction force in classical electrodynamics , Phys. Rev. Lett. 105