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Hamiltonian reduction of SU(2) gluodynamics

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Abstract

The Hamiltonian reduction of the Yang-Mills theory with the structure group SU(2) to a nonlocal model of a self-interacting 3 × 3 positive semidefinite matrix field is presented. Analysis of the field transformation properties under the action of the Poincaré group is carried out. It is shown that, in the strong coupling limit, the classical dynamics of a reduced system can be described by the local theory of interacting nonrelativistic spin-0 and spin-2 fields. A perturbation theory in powers of the inverse coupling constant g −2/3 that allows calculating the corrections to a leading long-wave approximation is suggested.

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  1. Andrea Razmadze Mathematical Institute, Tbilisi, Georgia

    A. M. Khvedelidze

  2. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    A. M. Khvedelidze

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  1. A. M. Khvedelidze
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Original Russian Text © A.M. Khvedelidze, 2011, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2011, Vol. 42, No. 3.

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Khvedelidze, A.M. Hamiltonian reduction of SU(2) gluodynamics. Phys. Part. Nuclei 42, 414–437 (2011). https://doi.org/10.1134/S1063779611030051

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