Near and far zones in two-body dynamics: An effective field theory perspective

We revisit several aspects of the interaction self-gravitating, slowly varying sources with their own emitted radiation within context post-Newtonian approximation to General Relativity. discuss and clarify choice boundary conditions Green's functions used determine conservative potentials, interplay between so-called near far zones, as well relation zone ultra-violet divergences power. Both contributions are required for computation dynamics. Within a field-theory approach we rederive far-zone self-energy processes, known tail memory effects, generalising calculation divergent part arbitrary order in expansion.