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Light-cone SU(2) Yang-Mills theory and conformal mechanics | | V.P. Gerdt
; A.M. Khvedelidze
; D.M. Mladenov
; | | Date: |
3 Oct 2002 | | Subject: | High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems | hep-th math-ph math.MP nlin.SI | | Abstract: | The mechanical model, originated from the SU(2) Yang-Mills light-cone field theory under the supposition of the gauge fields dependence on the light-cone time alone, is examined within the Dirac 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, new first and second class constraints also. On account of all of these constraints we perform a complete reduction in number of the degrees of freedom showing that the dynamics of the resulting unconstrained system is governed by the Hamiltonian of conformal mechanics with a ``strength’’ of the inverse square interaction determined by the value of the gauge field spin. | | Source: | arXiv, hep-th/0210022 | | Services: | Forum | Review | PDF | Favorites | |
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