We 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 ∼50 different dimensionally continued contributions.
Full text
Available for:
GEOZS, IJS, IMTLJ, KILJ, KISLJ, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UL, UM, UPCLJ, UPUK
All-sky search of NAUTILUS data Astone, P; Bassan, M; Bonifazi, P ...
Classical and quantum gravity,
09/2008, Volume:
25, Issue:
18
Journal Article, Conference Proceeding
An all-sky search of EXPLORER data Astone, P; Babusci, D; Bassan, M ...
Classical and quantum gravity,
09/2005, Volume:
22, Issue:
18
Journal Article, Conference Proceeding
PDF
