English

Deformed "Commutative" Chern - Simons System

High Energy Physics - Theory 2009-10-16 v1

Abstract

Noncommutative Chern - Simons' system is non-perturbatively investigated at a full deformed level. A deformed "commutative" phase space is found by a non-canonical change between two sets of deformed variables of noncommutative space. It is explored that in the "commutative" phase space all calculations are similar to the case in commutative space. Spectra of the energy and angular momentum of the Chern - Simons' system are obtained at the full deformed level. The noncommutative-commutative correspondence is clearly showed. Formalism for the general dynamical system is briefly presented. Some subtle points are clarified.

Keywords

Cite

@article{arxiv.0907.5280,
  title  = {Deformed "Commutative" Chern - Simons System},
  author = {Jian-Zu Zhang},
  journal= {arXiv preprint arXiv:0907.5280},
  year   = {2009}
}

Comments

15 pages

R2 v1 2026-06-21T13:30:44.103Z