Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
We complete the analytical determination, at the 4th post-Newtonian (4PN) approximation, of the conservative dynamics of gravitationally interacting two-point-mass systems. This completion is obtained by resolving the infra-red ambiguity which had blocked a previous 4PN calculation [P.Jaranowski and G.Sch\"afer, Phys. Rev. D 87, 081503(R) (2013)] by taking into account the …