Details
| Original language | English |
|---|---|
| Article number | 073506 |
| Journal | Journal of mathematical physics |
| Volume | 46 |
| Issue number | 7 |
| Publication status | Published - Jul 2005 |
Abstract
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 R3.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of mathematical physics, Vol. 46, No. 7, 073506, 07.2005.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On explicit point multimonopoles in SU(2) gauge theory
AU - Popov, Alexander D.
PY - 2005/7
Y1 - 2005/7
N2 - 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 R3.
AB - 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 R3.
UR - http://www.scopus.com/inward/record.url?scp=22944483822&partnerID=8YFLogxK
U2 - 10.1063/1.1939987
DO - 10.1063/1.1939987
M3 - Article
AN - SCOPUS:22944483822
VL - 46
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 7
M1 - 073506
ER -