English

Effective field theory calculation of conservative binary dynamics at third post-Newtonian order

General Relativity and Quantum Cosmology 2015-03-19 v3 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1104.1122,
  title  = {Effective field theory calculation of conservative binary dynamics at third post-Newtonian order},
  author = {S. Foffa and R. Sturani},
  journal= {arXiv preprint arXiv:1104.1122},
  year   = {2015}
}

Comments

24 pages, 6 figures. Typos corrected and references added in v2. Typos corrected in v3

R2 v1 2026-06-21T17:50:22.199Z