Kepler problem and chiral effective dynamics

TL;DR

This paper demonstrates how the Kepler problem can be reformulated through canonical transformations to reveal its symmetry structure and connects it to chiral symmetry breaking in meson dynamics.

Contribution

It introduces a novel canonical transformation that links Kepler dynamics to chiral effective theories via symmetry analysis.

Findings

Kepler dynamics can be expressed to show superintegrability symmetries.

The reformulation relates Kepler problem to low-energy meson models.

Symmetry transformations fit into nonlinear realization schemes.

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.