Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 52, Issue 15, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab0049
Keywords
magnetic monopoles; singularities; Yang-Mills theory; Wu-Yang classical monopole solution; distribution theory; Yang-Mills integral equation
Categories
Funding
- FAPES [0447/2015]
- CNPq-Brazil
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We establish that the Wu-Yang monopole needs the introduction of a magnetic point source at the origin in order for it to be a solution of the differential and integral equations for the Yang-Mills theory. That result is corroborated by the analysis through distribution theory, of the two types of magnetic fields relevant for the local and global properties of the Wu-Yang solution. The subtlety lies in the fact that with the non-vanishing magnetic point source required by the Yang-Mills integral equations, the Wu-Yang monopole configuration does not violate, in the sense of distribution theory, the differential Bianchi identity.
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