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Quadratic-in-Spin Hamiltonian at mathcal{O}(G²) from Scattering Amplitudes

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arxiv 2102.10137 v1 pith:EBC6A3K7 submitted 2021-02-19 hep-th gr-qc

Quadratic-in-Spin Hamiltonian at mathcal{O}(G²) from Scattering Amplitudes

Dimitrios Kosmopoulos , Andres Luna This is my paper
classification hep-th gr-qc
keywords scatteringamplitudesconsiderhamiltonianmathcalquadratic-in-spinspinningbern
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $\mathcal{O}(G^2)$ 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 \cite{Bern:2020buy} that relates the impulse and spin kick in a scattering event to the eikonal phase.

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Cited by 4 Pith papers

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