Summary
A model consisting of anSO(3) gauge field interacting with an isovector Higgs field is investigated. The gauge fields and field tensors are parameterized by the Higgs field directionality and a gauge field structure function in terms of which the magnetic field and magnetic charge density of a 't Hooft-Polyakov magnetic monopole can be simply expressed. An isovector Debye potential for a 't Hooft-Polyakov gauge field is written in terms of the gauge field structure function.
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References
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The metric is given byg 00=1=−g 11=−g 22=−g 33.
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See, for example, ref.[2, 5] for a tree-level potentialV(φ) and ref. [8]J. R. Morris:Nuovo Cimento A,95, 238 (1986) for a 1-loop Coleman-Weinberg potentialV eff(φ).
J. R. Morris:Nuovo Cimento A,95, 238 (1986).
A. C. T. Wu:Phys. Rev. D,37, 1005 (1988).
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Morris, J.R. A parameterization forSO(3) Yang-Mills-Higgs systems. Nuov Cim A 103, 1145–1149 (1990). https://doi.org/10.1007/BF02820542
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DOI: https://doi.org/10.1007/BF02820542