Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
作者： Thibault Damour , Piotr Jaranowski , Gerhard Schäfer
DOI: 10.1103/PHYSREVD.89.064058
关键词: Effective action 、 Hamiltonian (quantum mechanics) 、 Physics 、 Newtonian fluid 、 Conservation law 、 Poincaré conjecture 、 Classical mechanics
摘要: We complete the analytical determination, at 4th post-Newtonian (4PN) approximation, of conservative dynamics gravitationally interacting two-point-mass systems. This completion is obtained by resolving infra-red ambiguity which had blocked a previous 4PN calculation [P. Jaranowski and G. Sch\"afer, Phys. Rev. D 87, 081503(R) (2013)] taking into account breakdown usual near-zone expansion due to infinite-range tail-transported temporal correlations found long ago [L. Blanchet T. Damour, 37, 1410 (1988)]. leads Poincar\'e-invariant 4PN-accurate effective action for two masses, mixes instantaneous interaction terms (described Hamiltonian) with (time-symmetric) nonlocal-in-time interaction.
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