Dimensional regularization of the gravitational interaction of point masses

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dc.creatorDamour, Thibault
dc.creatorJaranowski, Piotr
dc.creatorSchäfer, Gerhard
dc.date2001-05-11
dc.date.accessioned2026-07-07T11:46:16Z
dc.date.available2026-07-07T11:46:16Z
dc.descriptionWe show how to use dimensional regularization to determine, within the Arnowitt-Deser-Misner canonical formalism, the reduced Hamiltonian describing the dynamics of two gravitationally interacting point masses. Implementing, at the third post-Newtonian (3PN) accuracy, our procedure we find that dimensional continuation yields a finite, unambiguous (no pole part) 3PN Hamiltonian which uniquely determines the heretofore ambiguous ``static'' parameter: namely, $ω_s=0$. Our work also provides a remarkable check of the perturbative consistency (compatibility with gauge symmetry) of dimensional continuation through a direct calculation of the ``kinetic'' parameter $ω_k$, giving the unique answer compatible with global Poincaré invariance ($ω_k={41/24}$) by summing $\sim50$ different dimensionally continued contributions.
dc.descriptionREVTeX, 8 pages, 1 figure; submitted to Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/gr-qc/0105038
dc.identifierhttp://arxiv.org/abs/gr-qc/0105038
dc.identifierPhys.Lett.B513:147-155,2001
dc.identifierdoi:10.1016/S0370-2693(01)00642-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202168
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleDimensional regularization of the gravitational interaction of point masses
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