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arXiv · 2103.03190

Near and far zone in two-body dynamics: an effective field theory perspective

Stefano Foffa·Riccardo Sturani
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Abstract

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

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Stefano Foffa, Riccardo Sturani. 2021-03-04. Near and far zone in two-body dynamics: an effective field theory perspective. https://doi.org/10.1103/physrevd.104.024069

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