Abstract
Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-1/2 particle. Focusing on operators containing two powers of the Weyl tensor, we combine the Hilbert series with an on-shell amplitude basis to construct the tidal action. With the tidal action in hand, we compute the leading-post-Minkowskian tidal contributions to the spin-1/2–spin-1/2 amplitude, arising at mathcal{O} (G2). Our amplitudes provide evidence that the observed long range spin-universality for the scattering of two point particles extends to the scattering of tidally deformed objects. From the scattering amplitude we find the conservative two-body Hamiltonian, linear and angular impulses, eikonal phase, spin kick, and aligned-spin scattering angle. We present analogous results in the electromagnetic case along the way.
Highlights
Classical angular momentum from quantum mechanical spin [2, 6, 8, 12,13,14,15,16,17,18,19], and the stateof-the-art computation of the third post-Minkowskian (3PM) dynamics of a spinless binary system [20,21,22,23]
We present the analogous results for quantum electrodynamics (QED)
As the recent burst in activity suggests, quantum-field-theoretic techniques are well suited for studying tidal deformations, where the tidal effects are characterized by higherdimensional operators
Summary
[35], we need the group characters for left- and right-handed Weyl spinors (respectively ψ and ψ†) [50], χ[3/2,(1/2,0)](D; x, y) = D3/2P (D; x, y) χ(1/2,0)(x, y) − Dχ(0,1/2)(x, y) , χ[3/2,(0,1/2)](D; x, y) = D3/2P (D; x, y) χ(0,1/2)(x, y) − Dχ(1/2,0)(x, y). The Hilbert series for two field strengths coupled to spinors for mass dimension d, HdF 2, is. Coupling two Weyl tensors to spinors, the Hilbert series for mass dimension d, HdC2, is. (2.5) and (2.7) are the Hilbert series for even mass dimensions These operators do not have any analogs in the complex scalar case
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
