scholarly journals Radiation reaction for spinning bodies in effective field theory. I. Spin-orbit effects

2017 ◽  
Vol 96 (8) ◽  
Author(s):  
Natália T. Maia ◽  
Chad R. Galley ◽  
Adam K. Leibovich ◽  
Rafael A. Porto
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Radiation Reaction ◽  
Effective Field ◽  
Spin Orbit ◽  
Spinning Bodies

scholarly journals Radiation reaction for spinning bodies in effective field theory. II. Spin-spin effects

2017 ◽  
Vol 96 (8) ◽  
Author(s):  
Natália T. Maia ◽  
Chad R. Galley ◽  
Adam K. Leibovich ◽  
Rafael A. Porto
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Radiation Reaction ◽  
Effective Field ◽  
Spin Effects ◽  
Spinning Bodies

scholarly journals Quadratic-in-spin Hamiltonian at $$ \mathcal{O} $$(G2) from scattering amplitudes

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Dimitrios Kosmopoulos ◽  
Andres Luna
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Scattering Amplitudes ◽  
Effective Field Theory ◽  
Effective Field ◽  
Spin Hamiltonian ◽  
Minimal Coupling ◽  
Spinning Bodies

Abstract We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $$ \mathcal{O} $$ O (G2) and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory to consider non-minimal coupling of the spinning objects to gravity. At the order that we consider, we establish the validity of the formula proposed in [1] that relates the impulse and spin kick in a scattering event to the eikonal phase.

scholarly journals N3LO gravitational quadratic-in-spin interactions at G4

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Michèle Levi ◽  
Andrew J. McLeod ◽  
Matthew von Hippel
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Linear Order ◽  
Effective Field ◽  
Compact Objects ◽  
Spin Orbit ◽  
Spinning Particle ◽  
Transcendental Numbers ◽  
Spin Interactions ◽  
First Time

Abstract We compute the N3LO gravitational quadratic-in-spin interactions at G4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the EFTofPNG code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms.

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