A covariant hamiltonian formulation of electrodynamics in Coulomb gauge

Defining the electromagnetic potential in a dynamical sense and abandoning its traditionally assumed vectorial character, we have obtained an hamiltonian description of electrodynamics in Coulomb gauge. The surprising and spectacular feature of this new description is that it is relativistically covariant because we succeeded in building a canonical realization of the Lie algebra of the Poincaré group from the potential variables and because the Coulomb condition (i.e., τ · A = 0) can be imposed as a strong condition in this framework.