Higher order post-Newtonian corrections via Effective Field Theory

Michele Levi

IAP - Institut d'Astrophysique de Paris

Wed, Jan. 08th 2014, 14:15-15:15

Salle Claude Itzykson, Bât. 774, Orme des Merisiers

Over the last decade considerable worldwide efforts have been invested in order to detect gravitational radiation. Inspiralling binary systems of black holes, which can be described analytically by the post-Newtonian (PN) approximation of GR, are promising candidate sources of gravitational waves signals. For a successful detection of such signals, PN corrections are required to high orders. We will present the main ideas of the Effective Field Theory (EFT) approach to the PN formalism of the binary inspiral problem, which has enabled the efficient obtainment of new higher order PN corrections. We will illustrate how the effective action is constructed for each scale in the problem, introduce the non-relativistic gravitational fields, and also review the treatment of spinning objects. We will demonstrate how to obtain the leading order PN corrections, in both the non-spinning and spinning cases, in terms of Feynman rules and diagrams. Recent and prospective applications of the EFT approach will be reviewed.

Contact : ccaprini