Causality and dimensionality in geometric scattering
Quantum Physics
2022-04-13 v2 High Energy Physics - Theory
Abstract
The scattering matrix which describes low-energy, non-relativistic scattering of spin-1/2 fermions interacting via finite-range potentials can be obtained from a geometric action principle in which space and time do not appear explicitly arXiv:2011.01278. In the case of zero-range forces, causality leads to constraints on scattering trajectories in the geometric picture. The effect of spatial dimensionality is also investigated by considering scattering in two and three dimensions. In the geometric formulation it is found that dimensionality is encoded in the phase of the harmonic potential that appears in the geometric action.
Cite
@article{arxiv.2112.02733,
title = {Causality and dimensionality in geometric scattering},
author = {Silas R. Beane and Roland C. Farrell},
journal= {arXiv preprint arXiv:2112.02733},
year = {2022}
}
Comments
18 pages, 4 figures. References and clarifications added in v2