The Quantum Deformed Dirac Equation from the k-Poincare` Algebra
High Energy Physics - Theory
2009-10-22 v1
Abstract
In this letter we derive a deformed Dirac equation invariant under the k-Poincare` quantum algebra. A peculiar feature is that the square of the k-Dirac operator is related to the second Casimir (the k-deformed squared Pauli-Lubanski vector). The ``spinorial'' realization of the k-Poincare` is obtained by a contraction of the coproduct of the real form of SO_q(3,2) using the 4-dimensional representation which results to be, up some scalar factors, the same of the undeformed algebra in terms of the usual gamma matrices.
Keywords
Cite
@article{arxiv.hep-th/9212065,
title = {The Quantum Deformed Dirac Equation from the k-Poincare` Algebra},
author = {Anatol Nowicki and Emanuele Sorace and Marco Tarlini},
journal= {arXiv preprint arXiv:hep-th/9212065},
year = {2009}
}
Comments
6 pages, Latex