Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-10-05
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 10 pages, enlarged and modified version, no changes in results and conslusions, one reference added, to appear in Phys.
Scientific paper
10.1016/j.physletb.2005.12.021
In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature, in particular isomorphic to the angular momentum algebra. The work is in the spirit of our earlier works in this connection, {\it {i.e.}} PLB 618 (2005)243 and PLB 623 (2005)251, where the $\kappa $-Minkowski form of noncomutative spacetime was considered. This non-linear and operatorial nature of the configuration space coordinate algebra can pose problems regarding its quantization. This prompts us to embed the model in the Batalin-Tyutin extended space where the equivalent model comprises of phase space variables satisfying a canonical algebra. We also compare our present model with the point particle model, previously proposed by us, in the context of $\kappa$-Minkowski spacetime.
Ghosh Subir
Pal Probir
No associations
LandOfFree
Lie Particle And Its Batalin-Tyutin Extension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lie Particle And Its Batalin-Tyutin Extension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie Particle And Its Batalin-Tyutin Extension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-250048