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We develop a complete Dirac's canonical analysis for an alternative actionthat yields Maxwell's four-dimensional equations of motion. We study in detailthe full symmetries of the action by following all steps of Dirac's method inorder to obtain a detailed description of symmetries. Our results indicate thatsuch 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 freedomare different.

Hamiltonian Dynamics for an alternative action describing Maxwell's equations