Magnetic Spin Monopole from the Yang-Mills Field

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Abstract
A generalization of the magnetic monopole has been derived in the context of the Yang-Mills field. This is achieved through the observation that the quantization of the ordinary magnetic monopole derives from closure of the angular momentum and magnetic field components on the Lie algebra of the Euclidean group E(3) and the fact that the Yang-Mills field is the generalization of the Maxwell field obtained by replacing the ordinary derivative by a covariant derivative. This leads to defining equations for the generalized monopole which are explicitly solved for the case when SU(2) is the gauge group of the field. The resulting system, referred to as the spin monopole, is investigated in some detail.

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