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arXiv · 1104.1122

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

S. Foffa·R. Sturani
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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.

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S. Foffa, R. Sturani. 2011-11-19. Effective field theory calculation of conservative binary dynamics at third post-Newtonian order. https://doi.org/10.1103/physrevd.84.044031

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