Ambiguity-free completion of the equations of motion of compact binary systems at the fourth post-Newtonian order

作者:Marchand Tanguy*; Bernard Laura; Blanchet Luc; Faye Guillaume
来源:PHYSICAL REVIEW D, 2018, 97(4): 044023.
DOI:10.1103/PhysRevD.97.044023

摘要

We present the first complete (i.e., ambiguity-free) derivation of the equations of motion of two nonspinning compact objects up to the 4PN (post-Newtonian) order, based on the Fokker action of point particles in harmonic coordinates. The last ambiguity parameter is determined from first principle, by resorting to a matching between the near-zone and far-zone fields, and a consistent computation of the 4PN tail effect in d dimensions. Dimensional regularization is used throughout for treating IR divergences appearing at 4PN order, as well as UV divergences due to the modeling of the compact objects as point particles.

  • 出版日期2018-2-20