Reducible second-class constraints of order L: An irreducible approach

TL;DR

This paper introduces an irreducible canonical method for handling second-class constraints of any order, extending previous work and demonstrated on Abelian gauge-fixed p-forms.

Contribution

It generalizes an irreducible approach to second-class constraints of arbitrary order, expanding on earlier results for first- and second-order reducible constraints.

Findings

Provides a systematic irreducible approach for higher-order second-class constraints

Generalizes previous methods to arbitrary order constraints

Illustrates the method on Abelian gauge-fixed p-forms

Abstract

An irreducible canonical approach to second-class constraints reducible of an arbitrary order is given. This method generalizes our previous results from [Europhys. Lett. 50 (2000) 169, J. Phys. A: Math. Theor. 40 (2007) 14537] for first- and respectively second-order reducible second-class constraints. The general procedure is illustrated on Abelian gauge-fixed p-forms.