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Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao 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.
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Original
1902
Earlier work this paper cites.
Stefano Foffa and Riccardo Sturani, “Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian,” Phys. Rev. D 100
Original
1903
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Stefano Foffa, Rafael A. Porto, Ira Rothstein, and Riccardo 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.
Ben Maybee, Donal O’Connell, and Justin Vines, “Observables and amplitudes for spinning particles and black holes,” JHEP 12
Original
1906
Earlier work this paper cites.
Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP 10
Original
1908
Earlier work this paper cites.
Zvi Bern, John Joseph Carrasco, Marco Chiodaroli, Henrik Johansson, and Radu Roiban, “The Duality Between Color and Kinematics and its Applications,” (2019c), arXiv:1909.01358 [hep-th]
Original
1909
Earlier work this paper cites.
James P. Edwards and Christian Schubert, “Quantum mechanical path integrals in the first quantised approach to quantum field theory,” (2019) arXiv:1912.10004 [hep-th]
Original
1912
Earlier work this paper cites.
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1950
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1986
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A. V. Kotikov, “Differential equations method: New technique for massive Feynman diagrams calculation,” Phys. Lett. B 254
1991
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1994
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Zvi Bern, Lance J. Dixon, David C. Dunbar, and David A. Kosower, “Fusing gauge theory tree amplitudes into loop amplitudes,” Nucl. Phys. B 435
1995
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Original
2003
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J. Blümlein, A. Maier, P. Marquard, and G. Schäfer, “Testing binary dynamics in gravity at the sixth post-Newtonian level,” Phys. Lett. B 807
Original
2003
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Original
2004
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2005
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2005
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2005
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Zvi Bern, Andres Luna, Radu Roiban, Chia-Hsien Shen, and Mao Zeng, “Spinning black hole binary dynamics, scattering amplitudes, and effective field theory,” Phys. Rev. D 104
Original
2005
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Julio Parra-Martinez, Michael S. Ruf, and Mao Zeng, “Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations,” JHEP 11
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Then

Stefano Foffa, Pierpaolo Mastrolia, Riccardo Sturani, and Christian Sturm, “Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant,” Phys. Rev. D 95
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Later among the works it cites.
Rafael A. Porto and Ira Z. Rothstein, “Apparent ambiguities in the post-Newtonian expansion for binary systems,” Phys. Rev. D 96
Original
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Later among the works it cites.
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Guido Festuccia, Ludovic Planté, and Pierre Vanhove, “General Relativity from Scattering Amplitudes,” Phys. Rev. Lett. 121
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Later among the works it cites.
Clifford Cheung, Ira Z. Rothstein, and Mikhail P. Solon, “From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion,” Phys. Rev. Lett. 121
Original
2018
Later among the works it cites.

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2022

Binary Dynamics from Worldline QFT for Scalar-QED

Wang, Tianheng

Understand

We investigate the worldline quantum field theory (WQFT) formalism for scalar-QED and observe that a generating function emerges from WQFT, from which the scattering angle ensues.

This generating function bears important similarities with the radial action in that it requires no consideration of exponentiation of lower-order contributions.
We demonstrate the computations of this generating function and the resulting scattering angle of a binary system coupled to electromagnetic field up to the third order in the Post-Minkowskian expansion (3PM).expansion (3PM).