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Effective Field Theory for Extreme Mass Ratios (part 2)

Jordan Wilson-Gerow · CERN

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About

The standard approximations to the two-body problem in General Relativity include weak-field perturbation theory ("PN'' and "PM'') and a strong-field scheme which expands in powers of the mass ratio but retains all orders in G-Newton, ie. "self-force''. I'll discuss recent work which used inspiration from self-force to simplify perturbative computations. We introduce an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio. The leading (0SF) dynamics are trivially described by geodesic motion in curved spacetime and at higher SF orders the perturbations of the 0SF exact solution are accounted for by a small number of operators, eg. a recoil operator encoding backreaction onto the heavy body. Rather than building-up curved spacetime perturbatively, this approach leverages known non-perturbative solutions and unpacks them into very simple perturbative building blocks—suggesting a path towards simplified multi-loop integrands for higher PM orders. We'll mention a variety of old and new two-loop results computed using this EFT..

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The talk

  1. Effective Field Theory for Extreme Mass Ratios (part 2) 2023-12-11 · 27 min · CERN's player

Credits and licence

Institution
CERN
Department
Conferences, Workshops & Schools
Speaker
Jordan Wilson-Gerow
Year
2023
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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