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Dynamical origin of the $\star_θ$-noncommutativity in field theory from quantum mechanics

Marcos Rosenbaum·J. David Vergara·L. Román Juárez
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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.

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Marcos Rosenbaum, J. David Vergara, L. Román Juárez. 2006-04-05. Dynamical origin of the $\star_θ$-noncommutativity in field theory from quantum mechanics. https://doi.org/10.1016/j.physleta.2006.01.071

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