The Quantum Deformed Dirac Equation from the k-Poincare` Algebra

Details The Quantum Deformed Dirac Equation from the k-Poincare` Algebra The Quantum Deformed Dirac Equation from the k-Poincare` Algebra

1992-12-10

arxiv.org/abs/hep-th/9212065v1

Phys.Lett. B302 (1993) 419-422

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex

Scientific paper

10.1016/0370-2693(93)90419-I

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.

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