Lagrangian gauge structure functions for systems with first-class constraints

TL;DR

This paper explicitly derives the structure functions of the Lagrangian gauge algebra using Hamiltonian constraints and structure functions, providing a clear link between Lagrangian and Hamiltonian formalisms.

Contribution

It presents explicit formulas for Lagrangian gauge structure functions in terms of Hamiltonian constraints and structure functions, clarifying their relationship.

Findings

Explicit expressions for Lagrangian gauge structure functions.

Connection established between Lagrangian and Hamiltonian formalisms.

Facilitates analysis of gauge theories with first-class constraints.

Abstract

The structure functions of the Lagrangian gauge algebra are given explicitly in terms of the hamiltonian constraints and the first order Hamiltonian structure functions and their derivatives.