Static finite-energy solutions of gauge fields with separated radial variable |
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| Authors: | L. Michel,L. O&#x Raifeartaigh,Kameshwar C. Wali |
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| Affiliation: | Physics Department, University of Michigan, Ann Arbor, Michigan 48104, USA;DIAS, Dublin 4, Ireland;Physics Department, Syracuse University, Syracuse, New York 13210, USA |
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| Abstract: | For arbitrary compact gauge group G and real representations of the Higgs fields, we seek static finite-energy solutions for which the radial dependence of the fields is factorized. We find that the gauge fields vanish outside a fixed SO(3) subgroup of G, and that inside SO(3) they reduce to the 't Hooft-Polyakov solution with unit magnetic charge. The Higgs fields may belong to any integer representation of this SO(3). |
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