 | This article may be too technical for most readers to understand. (March 2013) |
In mathematics, a monopole is a connection over a principal bundle G with a section of the associated adjoint bundle.
Physical interpretation
Physically, the section can be interpreted as a Higgs field, where the connection and Higgs field should[ why?] satisfy the Bogomolny equations and be of finite action.
See also
References
- Hitchin, Nigel (1983). "On the construction of monopoles". Communications in Mathematical Physics. 89 (2): 145–190. Bibcode: 1983CMaPh..89..145H. doi: 10.1007/BF01211826. S2CID 120823242.
- Donaldson, Simon (1984). "Nahm's equations and the classification of monopoles". Communications in Mathematical Physics. 96 (3): 387–407. Bibcode: 1984CMaPh..96..387D. doi: 10.1007/BF01214583. S2CID 119959346.
- Atiyah, Michael; Hitchin, N. J. (1988). The geometry and dynamics of magnetic monopoles. M. B. Porter Lectures. Princeton, NJ: Princeton University Press. ISBN 0-691-08480-7.
 | This differential geometry-related article is a stub. You can help Wikipedia by expanding it. |
 | This mathematical physics-related article is a stub. You can help Wikipedia by expanding it. |
| This article may be too technical for most readers to understand. (March 2013) |
In mathematics, a monopole is a connection over a principal bundle G with a section of the associated adjoint bundle.
Physical interpretation
Physically, the section can be interpreted as a Higgs field, where the connection and Higgs field should[ why?] satisfy the Bogomolny equations and be of finite action.
See also
References
- Hitchin, Nigel (1983). "On the construction of monopoles". Communications in Mathematical Physics. 89 (2): 145–190. Bibcode: 1983CMaPh..89..145H. doi: 10.1007/BF01211826. S2CID 120823242.
- Donaldson, Simon (1984). "Nahm's equations and the classification of monopoles". Communications in Mathematical Physics. 96 (3): 387–407. Bibcode: 1984CMaPh..96..387D. doi: 10.1007/BF01214583. S2CID 119959346.
- Atiyah, Michael; Hitchin, N. J. (1988). The geometry and dynamics of magnetic monopoles. M. B. Porter Lectures. Princeton, NJ: Princeton University Press. ISBN 0-691-08480-7.
|
| This differential geometry-related article is a stub. You can help Wikipedia by expanding it. |
|
| This mathematical physics-related article is a stub. You can help Wikipedia by expanding it. |