Kepler problem and chiral effective dynamics
Mathematical Physics
2022-12-28 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
It is shown that by an appropriate canonical transformation Kepler dynamics can be put in the form which allows to exhibit the structure of the symmetry transformations related to the superintegrability. They appear to fit nicely into general scheme of nonlinear realizations. In new coordiantes the Kepler dynamics results from dimensional reduction of that describing low energy mesons with spontaneously broken chiral symmetry.
Cite
@article{arxiv.2208.11441,
title = {Kepler problem and chiral effective dynamics},
author = {Katarzyna Bolonek-Lason and Joanna Gonera and Piotr Kosinski},
journal= {arXiv preprint arXiv:2208.11441},
year = {2022}
}
Comments
16 pages, no figures; revised version to appear in Physical Review E