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Dimensional regularization of the gravitational interaction of point masses
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Abstract 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, ωs=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 ωk, giving the unique answer compatible with global Poincare invariance (ωk=41/24) by summing ∼50 different dimensionally continued contributions.
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Cited by
The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
The Confrontation between General Relativity and Experiment
Will, C. M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-3 · Cited by 1,606
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686
String Theory, Gravity and Experiment
Damour, T., & Lilley, M. (2008) · Les Houches · doi:10.1016/s0924-8099(08)80027-3 · Cited by 35
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Metadata
- Authors
- Damour, T., Jaranowski, P., & Schäfer, G.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 2001-07
- Volume
- 513
- Issue
- 1-2
- Pages
- 147-155
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2054085900
- Cited by
- 316
- References
- 0
- FWCI
- 8.76
- Type
- journal article
- Language
- en
- Open access
- green
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