Abelianizable First Class Constraints
نویسنده
چکیده
We study the necessary and sufficient conditions on Abelianizable first class constraints. The necessary condition is derived from topological considerations on the structure of gauge group. The sufficient condition is obtained by applying the theorem of implicit function in calculus. Since the sufficient conditions are related to the geometrical structure of the constraint surface and the existence of proper gauge fixing conditions, we conclude some general properties of non-Abelianizable first class constraints. ∗e-mail: [email protected]
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Gauge symmetries of systems with a finite number of degrees of freedom
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