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Paper   IPM / Physic / 6908
School of Physics
  Title:   Abelianization of First Class Constraints
  Author(s):  F. Loran
  Status:   Published
  Journal: Phys. Lett. B
  No.:  53
  Vol.:  547
  Year:  2002
  Pages:   63-68
  Supported by:  IPM
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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