Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourth post-Newtonian effective one-body dynamics   The conservative dynamics of gravitationally interacting two-point-mass
systems has been recently determined at the fourth post-Newtonian (4PN)
approximation [T.Damour, P.Jaranowski, and G.Sch\"afer, Phys. Rev. D 89, 064058
(2014)], and found to be nonlocal in time. We show how to transcribe this
dynamics within the effective one-body (EOB) formalism. To achieve this EOB
transcription, we develop a new strategy involving the
(infinite-)order-reduction of a nonlocal dynamics to an ordinary action-angle
Hamiltonian. Our final, equivalent EOB dynamics comprises two (local) radial
potentials, $A(r)$ and $\bar{D}(r)$, and a nongeodesic mass-shell contribution
$Q(r,p_r)$ given by an infinite series of even powers of the radial momentum
$p_r$. Using an effective action technique, we complete our 4PN-level results
by deriving two different, higher-order conservative contributions linked to
tail-transported hereditary effects: the 5PN-level EOB logarithmic terms, as
well as the 5.5PN-level, half-integral terms. We compare our improved
analytical knowledge to previous, numerical gravitational-self-force
computation of precession effects.

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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: math