Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-06-11
Phys.Rev. D49 (1994) 1093-1104
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, PUPT-1403, DART-HEP-93/04, 3 Figures (Feynman macros required)
Scientific paper
10.1103/PhysRevD.49.1093
The method of quantization of magnetic monopoles based on the order-disorder duality existing between the monopole operator and the lagrangian fields is applied to the description of the quantum magnetic monopoles of `t Hooft and Polyakov in the SO(3) Georgi-Glashow model. The commutator 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, the mass of the quantum monopole is obtained. The tree-level result for the quantum monopole mass is shown to satisfy the Bogomolnyi bound ($M_{\rm mon} \geq 4 \pi \frac{M}{g^2}$) and to be within the range of values found for the energy of the classical monopole solution.
Marino Eduardo C.
Ramos Rudnei O.
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