Analysis of constrained theories without use of primary constraints

TL;DR

This paper presents a modified Dirac approach that reformulates singular theories in Hamiltonian form without primary constraints, simplifying the process by using a first-order Lagrangian formulation in special coordinates.

Contribution

The authors introduce a slight modification to the Dirac method, eliminating primary constraints in the Hamiltonian formulation of singular theories.

Findings

Primary constraints are avoided in the modified Hamiltonization process.

The approach simplifies the Hamiltonian formulation of singular theories.

The method connects Hamiltonian and Lagrangian formulations more directly.

Abstract

It is shown that the Dirac approach to Hamiltonization of singular theories can be slightly modified in such a way that primary Dirac constraints do not appear in the process. According to the modified scheme, Hamiltonian formulation of singular theory is first order Lagrangian formulation, further rewritten in special coordinates.