Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics

Details Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics

2002-09-13

arxiv.org/abs/hep-th/0209107v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, no figures. To appear in the Proceedings of the Workshop Computer Algebra and its Application to Physics, Jun

Scientific paper

We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the supposition of gauge potential dependence only on ``time'' along the light-cone direction. The computer algebra system Maple was used strongly to compute and separate the complete set of constraints. In contrast to the instant form of Yang-Mills mechanics the constraints here represent a mixed form of first and second-class constraints and reduce the number of the physical degrees of freedom up to four canonical one.

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