Simplifying the algebra of first class constraints, SO(3) as an example

Physics – High Energy Physics – High Energy Physics - Theory

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12 pages, no figure

Scientific paper

We discuss the problem of non abelian constrained systems and give a systematic method to convert them to an abelian system. Our method is based on solutions of the differential equations due to the algebra of first class constraints. We suggest that multiplicative constraints should be regularized at each step of calculations. A first class constrained system with SO(3) algebra is studied as an example. We show that it is possible to abelianize this system locally.

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