Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
arXiv:1104.1122 · doi:10.1103/PhysRevD.84.044031
Abstract
We reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spin-less sources by using the effective field theory methods for the gravitationally bound two-body system, proposed by Goldberger and Rothstein. This result has been obtained by automatizing the computation of Feynman amplitudes within a Mathematica algorithm, paving the way for higher-order computations not yet performed by traditional methods.
24 pages, 6 figures. Typos corrected and references added in v2. Typos corrected in v3