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Hamiltonian reduction and unfolding of dynamical systems with gauge symmetries

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Abstract

We investigate the reduction and unfolding of dynamical systems with gauge symmetries. An application is provided by a non relativistic point charge in the field of a Dirac monopole. The corresponding dynamical system possessing a Kepler type symmetry is associated with the Taub-NUT metric using a reduction procedure of symplectic manifolds with symmetries. The reverse of the reduction procedure is done by stages performing the unfolding of the gauge transformation followed by the Eisenhart lift in connection with scalar potentials.

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Authors and Affiliations

  1. Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering, P.O.Box M.G.-6, Magurele, Bucharest, Romania

    Mihai Visinescu

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  1. Mihai Visinescu
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Correspondence to Mihai Visinescu.

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Visinescu, M. Hamiltonian reduction and unfolding of dynamical systems with gauge symmetries. Phys. Part. Nuclei 43, 717–719 (2012). https://doi.org/10.1134/S1063779612050383

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