Abstract

Finite energy monopole solutions are studied in SU (4) spontaneously broken to SU(2) × SU(2) × U(1) by a single Higgs field in the adjoint representation. Both the smallest and double strength monopoles which couple only to the U(1) charge are written in a spherically symmetric form, thus allowing the corresponding energies to be computed numerically. It is found that the mass of the double pole is always more than twice that of the single pole, except in the limit of vanishing scalar self-couplings when it is exactly twice. Analytic solutions are obtained in this limit. The question of the existence of finite energy solutions corresponding to a given spherically symmetric point monopole is discussed.

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