MG11 |
Participant |
Jaranowski, Piotr | |
|
Institution |
Institute of Theoretical Physics, University of Bialystok - Lipowa 41 - 15-424 BIALYSTOK - - POLAND | |
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Session |
Talk |
Abstract |
|
PPN2 |
Dimensional regularization of the gravitational interaction of point masses in ADM formalism |
The ADM formalism for two-point-mass systems in $d$ space dimensions will be presented. The post-Newtonian expansion of the ADM reduced Hamiltonian will be exhibited up to the 3PN order. The regularization ambiguities of the 3PN Hamiltonian considered directly in $d=3$ space dimensions will be discussed. By contrast, it will be shown that dimensional continuation (to complex $d$'s) leads to a finite and unique Hamiltonian as $d\to3$. |