Hierarchy of Dirac, Pauli and Klein-Gordon conserved operators in Taub-NUT background

Details Hierarchy of Dirac, Pauli and Klein-Gordon conserved operators in Taub-NUT background Hierarchy of Dirac, Pauli and Klein-Gordon conserved operators in Taub-NUT background

2001-07-24

arxiv.org/abs/hep-th/0107205v1

J.Math.Phys. 43 (2002) 2978-2987

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, no figures

Scientific paper

10.1063/1.1469669

The algebra of conserved observables of the SO(4,1) gauge-invariant theory of the Dirac fermions in the external field of the Kaluza-Klein monopole is investigated. It is shown that the Dirac conserved operators have physical parts associated with Pauli operators that are also conserved in the sense of the Klein-Gordon theory. In this way one gets simpler methods of analyzing the properties of the conserved Dirac operators and their main algebraic structures including the representations of dynamical algebras governing the Dirac quantum modes.

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