Gauge symmetry in Lagrangian formulation and Schwinger models

Abstract

A systematic method is presented for processing the equations of motion of a singular Lagrangian that, in principle, has all dynamical degrees of freedom together with the Lagrangian constraints and a number of identities between the equations of motion. Then, using these identities one can find the complete set of gauge transformations of the system. Different types of Schwinger model are considered as examples and the related gauge transformations are derived.