Abstract
A one-parameter infinitesimal group of gauge transformations for the electromagnetic potential has been defined. On defining the electromagnetic potential by a limiting process from a vector field described by two real components, it is possible to set up a Lagrangian which is invariant under infinitesimal gauge and Lorentz transformations and leads to equations of motions which now include the supplementary conditions. The constants of motion are gauge-dependent and changes in these constants upon gauge transformation may be regarded as a renormalization.
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