Hamiltonian Approach to Lagrangian Gauge Symmetries
R. Banerjee, H.J. Rothe, K.D. Rothe

TL;DR
This paper introduces a Hamiltonian-based method to systematically identify all local gauge symmetries of a Lagrangian without relying on the action, providing a new algorithm for gauge parameter restrictions.
Contribution
It presents a novel Hamiltonian approach and a simple algorithm to determine gauge symmetries directly from the Hamiltonian formulation.
Findings
New Hamiltonian method for gauge symmetry analysis
Algorithm for gauge parameter restrictions
Applicable to various Lagrangian systems
Abstract
We reconsider the problem of finding all local symmetries of a Lagrangian. Our approach is completely Hamiltonian without any reference to the associated action. We present a simple algorithm for obtaining the restrictions on the gauge parameters entering in the definition of the generator of gauge transformations.
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