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Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach. I. Regularized Lagrangian

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Author(s):
Foffa, Stefano ; Sturani, Riccardo
Total Authors: 2
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 100, n. 2, p. 16-pg., 2019-07-24.
Abstract

Within the framework of the effective field theory approach to the post-Newtonian approximation to general relativity, we report the so-far missing G(3) and G(4) sectors of the conservative two-body dynamics at fourth perturbative order for nonspinning compact objects. Following the standard procedure, the gravitational interaction is integrated out to obtain a systematic expansion in terms of Feynman graphs. Building on this result and on previously obtained ones, we are able to write the local-in-time regularized Lagrangian at fourth post-Newtonian order, which is in agreement with results previously computed with other methods. (AU)

FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects
FAPESP's process: 12/14132-3 - Analysis of gravitational waves
Grantee:Riccardo Sturani
Support Opportunities: Research Grants - Young Investigators Grants