Kepler problem and chiral effective dynamics.
basic_science · Level V
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- Record sourced from PubMed, PMID 36671191.
- Also identified by DOI 10.1103/PhysRevE.106.064207.
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Abstract
It is shown that by an appropriate canonical transformation, Kepler dynamics can be put in the form which allows one to exhibit the structure of the symmetry transformations related to the superintegrability. They appear to fit nicely into a general scheme of nonlinear realizations. In new coordinates, the Kepler dynamics results from dimensional reduction of that describing low-energy mesons with spontaneously broken chiral symmetry.