MASS-SPECTRUM AND CORRELATION-FUNCTIONS OF NON-ABELIAN QUANTUM MAGNETIC MONOPOLES

The method of quantization of magnetic monopoles based on the order-di sorder duality existing between the monopole operator and the Lagrangi an fields is applied to the description of the quantum magnetic monopo les of 't Hooft and Polyakov in the SO(3) Georgi-Glashow model. The co mmutator of the monopole operator with the magnetic charge is computed explicitly, indicating that indeed the quantum monopole carries 4 pi/ g units of magnetic charge. An explicit expression for the asymptotic behavior of the monopole correlation function is derived. From this, t he mass of the quantum monopole is obtained. The tree-level result for the quantum monopole mass is shown to satisfy the Bogomol'nyi bound ( M(mon)greater than or equal to 4 pi M/g(2)) and to be within the range of values found for the energy of the classical monopole solution.