Abstract
Attempts are made to construct a generalization of magnetic-charge theory to non-Abelian groups, retaining the symmetry of electric- and magnetic-charge dynamics. It is shown why the automatically gauge- and Lorentz-invariant path-dependent formalism of Mandelstam does not allow such a generalization. Strict gauge invariance and manifest Lorentz invariance are then abandoned in favor of a fully quantized field theory with all required properties, including a generalized charge quantization condition. It is concluded from the failure of locality in this model that such a generalization is probably incompatible with Lorentz invariance.
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