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Résumé |
Recent work has found that minimization of quantum entanglement in low-energy baryon-baryon
scattering has interesting phenomenological implications, and leads to a novel view of emergent
symmetries. I will review these developments as well as extensions to three-body systems and
systems involving pions. Then, in an effort to provide insight into the role of entanglement in
scattering, I will show how the S-matrix which describes non-relativistic scattering of particles
interacting via finite-range forces, can be obtained from a geometric action principle in which
space and time do not appear explicitly. In general, isotropic scattering of non-relativistic
spin-J fermions has a geometric description as a trajectory between vertices of 2J+1-cube
self-dual honeycombs. I will describe the relation between the space-time effective field
theory and the space-time-independent geometric theory for some simple cases, and focus
on the manner in which unitarity, causality and spin entanglement are manifest in the
geometric description.
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