  We develop a complete Dirac's canonical analysis for an alternative action
that yields Maxwell's four-dimensional equations of motion. We study in detail
the full symmetries of the action by following all steps of Dirac's method in
order to obtain a detailed description of symmetries. Our results indicate that
such an action does not have the same symmetries than Maxwell theory, namely,
the model is not a gauge theory and the number of physical degrees of freedom
are different.
