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arXiv · hep-th/0510038

Lie Particle And Its Batalin-Tyutin Extension

Subir Ghosh·Probir Pal
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Abstract

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 $κ$-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 $κ$-Minkowski spacetime.

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Subir Ghosh, Probir Pal. 2005-12-12. Lie Particle And Its Batalin-Tyutin Extension. https://doi.org/10.1016/j.physletb.2005.12.021

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