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On Explicit point multimonopoles in SU(2) gauge theory

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.1939987· OSTI ID:20699237
 [1]
  1. Institut fuer Theoretische Physik, Universitaet Hannover, Appelstrasse 2, 30167 Hannover (Germany)
It is well known that the Dirac monopole solution with the U(1) gauge group embedded into the group SU(2) is equivalent to the SU(2) Wu-Yang point monopole solution having no Dirac string singularity. We consider a multicenter configuration of m Dirac monopoles and n antimonopoles and its embedding into SU(2) gauge theory. Using geometric methods, we construct an explicit solution of the SU(2) Yang-Mills equations which generalizes the Wu-Yang solution to the case of m monopoles and n antimonopoles located at arbitrary points in R{sup 3}.
OSTI ID:
20699237
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 46; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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