Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach

@article{Blumlein2020FourthPH,
  title={Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach},
  author={Johannes Blumlein and Andreas Maier and Peter Marquard and Gerhard Schāfer},
  journal={Nuclear Physics B},
  year={2020}
}
Abstract We calculate the motion of binary mass systems in gravity up to the fourth post–Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying dimensional regularization. We construct the canonical transformations to ADM coordinates and to effective one body theory (EOB) to compare with other approaches. We show that intermediate poles in the dimensional regularization parameter e vanish in the… 

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