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Using two new well defined 4-dimensional potential vectors, we formulate theclassical Maxwell's field theory in a form which has manifest Lorentzcovariance and SO(2) duality symmetry in the presence of magnetic sources. Weset up a consistent Lagrangian for the theory. Then from the action principlewe get both Maxwell's equation and the equation of motion of a dyon moving inthe electro-magnetic field.Comment: 10 pages, no figure

Classical Electromagnetic Field Theory in the Presence of Magnetic Sources