dorsal/arxiv
View SchemaLorentz Transformations as Lie-Poisson Symmetries
| Authors | A. Simoni, A. Stern, I. Yakushin |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9501026 |
| URL | https://arxiv.org/abs/q-alg/9501026 |
| DOI | 10.1063/1.531278 |
Abstract
We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson-Lie group. In so doing we obtain the classical limit of a particle moving on a noncommutative space possessing $SL_q(2,C)$ invariance. We show that if the standard mass shell constraint is chosen for the Hamiltonian function, then the particle interacts with the space-time. We solve for the trajectory and find that it originates and terminates at singularities.
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"abstract": "We write down the Poisson structure for a relativistic particle where the\nLorentz group does not act canonically, but instead as a Poisson-Lie group. In\nso doing we obtain the classical limit of a particle moving on a noncommutative\nspace possessing $SL_q(2,C)$ invariance. We show that if the standard mass\nshell constraint is chosen for the Hamiltonian function, then the particle\ninteracts with the space-time. We solve for the trajectory and find that it\noriginates and terminates at singularities.",
"arxiv_id": "q-alg/9501026",
"authors": [
"A. Simoni",
"A. Stern",
"I. Yakushin"
],
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"math.QA"
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"doi": "10.1063/1.531278",
"title": "Lorentz Transformations as Lie-Poisson Symmetries",
"url": "https://arxiv.org/abs/q-alg/9501026"
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