Dirac-Bergmann analysis of SW-mapped non-commutative $U(1)$ electrodynamics with external currents

J. Manuel Cabrera, A. G. Andarcia Caballero, J. M. Paulin Fuentes

Non-commutative electrodynamics obtained through the Seiberg-Witten map ceases to have equivalent action-level and equation-level realizations once fixed external currents are intr…