Abelianization of First Class Constraints

Abstract

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.

To appear in PLB

Cited by in corpus (3)

• Non-Abelianizable First Class Constraints
• Abelian Subset of Second Class Constraints
• Gauge symmetries of systems with a finite number of degrees of freedom