On the equivalence between the unified and standard versions of constraint dynamics

TL;DR

This paper demonstrates the equivalence between the unified and standard formulations of constraint dynamics, showing that second-class constraints act as superselection operators and establishing their physical equivalence.

Contribution

It reveals the equivalence between the unified and standard BFV formalism for constraint dynamics, clarifying the role of second-class constraints as superselection operators.

Findings

Unified and standard constraint dynamics are physically equivalent.

Second-class constraints function as superselection operators.

The unified formalism aligns with the BFV approach with split constraints.

Abstract

The structure of physical operators and states of the unified constraint dynamics is studied. The genuine second--class constraints encoded are shown to be the superselection operators. The unified constrained dynamics is established to be physically--equivalent to the standard BFV--formalism with constraints split.