Radiation reaction and gravitational waves in the effective field theory approach

Details Radiation reaction and gravitational waves in the effective field theory approach Radiation reaction and gravitational waves in the effective field theory approach

2009-03-05

arxiv.org/abs/0903.1122v1

Phys.Rev.D79:124027,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 8 figures

Scientific paper

10.1103/PhysRevD.79.124027

We compute the contribution to the Lagrangian from the leading order (2.5 post-Newtonian) radiation reaction and the quadrupolar gravitational waves emitted from a binary system using the effective field theory (EFT) approach of Goldberger and Rothstein. We use an initial value formulation of the underlying (quantum) framework to implement retarded boundary conditions and describe these real-time dissipative processes. We also demonstrate why the usual scattering formalism of quantum field theory inadequately accounts for these. The methods discussed here should be useful for deriving real-time quantities (including radiation reaction forces and gravitational wave emission) and hereditary terms in the post-Newtonian approximation (including memory, tail and other causal, history-dependent integrals) within the EFT approach. We also provide a consistent formulation of the radiation sector in the equivalent effective field theory approach of Kol and Smolkin.

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