English

Realizations of the Yang-Poisson model on canonical phase space

High Energy Physics - Theory 2023-09-19 v2 Mathematical Physics math.MP

Abstract

We discuss exact realizations of the Yang-Poisson model on canonical phase space. The Yang model is an example of noncommutative geometry on a background spacetime of constant curvature and is notable for its duality between position and momentum manifolds. We call Yang-Poisson model its classical limit, with commutators replaced by Poisson brackets. The structure is simpler in the classical case, and exact realizations can be found.

Keywords

Cite

@article{arxiv.2307.09828,
  title  = {Realizations of the Yang-Poisson model on canonical phase space},
  author = {S. Meljanac and S. Mignemi},
  journal= {arXiv preprint arXiv:2307.09828},
  year   = {2023}
}

Comments

8 pages. Some typos have been corrected