On squaring the primary constraints in a generalized Hamiltonian dynamics

TL;DR

This paper investigates the effects of squaring primary constraints in a generalized Hamiltonian framework for a relativistic particle with curvature and torsion, revealing that such squaring leads to incorrect results and alters the model.

Contribution

It demonstrates that squaring primary constraints in this context results in a different model, highlighting the importance of careful constraint handling in Hamiltonian dynamics.

Findings

Squaring primary constraints yields an incorrect model.

The resulting Hamiltonian constraints correspond to a different action.

Proper treatment of constraints is crucial in Hamiltonian formulations.

Abstract

Consideration of the model of the relativistic particle with curvature and torsion in the three-dimensional space-time shows that the squaring of the primary constraints entails a wrong result. The complete set of the Hamiltonian constraints arising here correspond to another model with an action similar but not identical with the initial action.