Dynamical origin of the -noncommutativity in field theory from quantum mechanics
arXiv:hep-th/0604038 · doi:10.1016/j.physleta.2006.01.071
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.
17 pages, to be published in Phys. Lett. A
Cited by in corpus (5)
- Weyl-Wigner Formulation of Noncommutative Quantum Mechanics
- Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
- Deformation quantization of noncommutative quantum mechanics and dissipation
- Canonical Quantization, Space-Time Noncommutativity and Deformed Symmetries in Field Theory
- Space-Time Diffeomorphisms in Noncommutative Gauge Theories