Light-cone SU(2) Yang-Mills theory and conformal mechanics

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dc.creatorGerdt, V. P.
dc.creatorKhvedelidze, A. M.
dc.creatorMladenov, D. M.
dc.date2002-10-03
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:35:12Z
dc.date.available2026-07-07T06:35:12Z
dc.descriptionWe examine the mechanical matrix model that can be derived from the SU(2) Yang-Mills light-cone field theory by restricting the gauge fields to depend on the light-cone time alone. We use Dirac's generalized Hamiltonian approach. In contrast to its well-known instant-time counterpart the light-cone version of SU(2) Yang-Mills mechanics has in addition to the constraints, generating the SU(2) gauge transformations, the new first and second class constraints also. On account of all of these constraints a complete reduction in number of the degrees of freedom is performed. It is argued that the classical evolution of the unconstrained degrees of freedom is equivalent to a free one-dimensional particle dynamics. Considering the complex solutions to the second class constraints we show at this time that the unconstrained Hamiltonian system represents the well-known model of conformal mechanics with a ``strength'' of the inverse square interaction determined by the value of the gauge field spin.
dc.description23 pages, LaTeX, no figures. V2: Presentation simplified and clarified, minor improvements in the whole text, typos corrected, references added. V3: Very small changes. V4: Changes in the text, Appendix added, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0210022
dc.identifierhttp://arxiv.org/abs/hep-th/0210022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99732
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleLight-cone SU(2) Yang-Mills theory and conformal mechanics
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