Multimonopole solutions in the Prasad-Sommerfield limit

A variational search for multimonopole solutions of the Yang-Mills-Higgs equations in the Prasad-Sommerfield limit is performed. An ansatz where two monopoles are superimposed at the origin is shown to lead to a minimal energy differing by less than one percent from the Bogomolny bound, with the discrepancy attributable to the truncation error. Thus strong numerical evidence is obtained for the existence of two-monopole solutions, the symmetry properties of which are discussed.

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