Abelianization of First Class Constraints

Details Abelianization of First Class Constraints Abelianization of First Class Constraints

2002-09-22

arxiv.org/abs/hep-th/0209180v1

Phys.Lett. B547 (2002) 63-68

Physics

High Energy Physics

High Energy Physics - Theory

To appear in PLB

Scientific paper

10.1016/S0370-2693(02)02734-X

We show that a given set of first class constraints becomes abelian if one maps each constraint to the surface of other constraints. There is no assumption that first class constraints satisfy a closed algebra. The explicit form of the projection map is obtained at least for irreducible first class constraints. Using this map we give a method to obtain gauge fixing conditions such that the set of abelian first class constraints and gauge fixing conditions satisfy the symplectic algebra.

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