Balachandran, AP and Marmo, G and Mukunda, N and Nilsson, JS and Sudarshan, ECG and Zaccaria, F (1984) Non-Abelian monopoles break color. II. Field theory and quantum mechanics. In: Physical Review D, 29 (12). pp. 2936-2943.
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Many grand unified theories (GUT's) predict non-Abelian monopoles which are sources of non-Abelian (and Abelian) magnetic flux. In the preceding paper, we discussed in detail the topological obstructions to the global implementation of the action of the "unbroken symmetry group" H on a classical test particle in the field of such a monopole. In this paper, the existence of similar topological obstructions to the definition of H action on the fields in such a monopole sector, as well as on the states of a quantum-mechanical test particle in the presence of such fields, are shown in detail. Some subgroups of H which can be globally realized as groups of automorphisms are identified. We also discuss the application of our analysis to the SU(5) GUT and show in particular that the non-Abelian monopoles of that theory break color and electroweak symmetries.
|Item Type:||Journal Article|
|Additional Information:||Copyright for this article belong to American Physical Society.|
|Date Deposited:||01 Feb 2010 06:07|
|Last Modified:||03 Jan 2013 05:20|
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