Dynamical origin of the $\star_\theta$-noncommutativity in field theory from quantum mechanics
High Energy Physics - Theory
2008-11-26 v1
Abstract
We show that introducing an extended Heisenberg algebra in the context of the Weyl-Wigner-Groenewold-Moyal formalism leads to a deformed product of the classical dynamical variables that is inherited to the level of quantum field theory, and that allows us to relate the operator space noncommutativity in quantum mechanics to the quantum group inspired algebra deformation noncommutativity in field theory.
Keywords
Cite
@article{arxiv.hep-th/0604038,
title = {Dynamical origin of the $\star_\theta$-noncommutativity in field theory from quantum mechanics},
author = {Marcos Rosenbaum and J. David Vergara and L. Román Juárez},
journal= {arXiv preprint arXiv:hep-th/0604038},
year = {2008}
}
Comments
17 pages, to be published in Phys. Lett. A