Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics
High Energy Physics - Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0209107,
title = {Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics},
author = {V. P. Gerdt and A. M. Khvedelidze and D. M. Mladenov},
journal= {arXiv preprint arXiv:hep-th/0209107},
year = {2007}
}
Comments
10 pages, LaTeX, no figures. To appear in the Proceedings of the Workshop Computer Algebra and its Application to Physics, June 28-30 2001, Dubna