Abelian Subset of Second Class Constraints

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(03)00006-6

We show that after mapping each element of a set of second class constraints
to the surface of the other ones, half of them form a subset of abelian first
class constraints. The explicit form of the map is obtained considering the
most general Poisson structure. We also introduce a proper redefinition of
second class constraints that makes their algebra symplectic.

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