Dirac and Yang monopoles revisited

• Authors: Guowu Meng
• Languages of publication: EN

Abstracts

EN

The Dirac monopoles in 3-space and their generalization by C.N. Yang to 5-space are observed to be just the Levi-Civita spin connections of the cylindrical Riemannian metric on the 3-and 5-dimensional punctured spaces respectively. Their straightforward generalization to higher dimensions is also investigated.

Keywords

EN

Dirac monopoles; Yang monopoles

Discipline

• 04.62.+v: Quantum fields in curved spacetime

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2007
• Volume: 5
• Issue: 4
• Pages: 570-575

Dates

published

1 - 12 - 2007

online

1 - 12 - 2007

Contributors

author

Guowu Meng

• Department of Mathematics, Hong Kong Univ. of Sci. and Tech. Clear Water Bay, Kowloon, Hong Kong

References

• [1] G.W. Meng: “MICZ-Kepler problems in all dimensions”, J. Math. Phys., Vol. 48, (2007), art. 032105.
• [2] C.N. Yang: “Generalization of Dirac’s monopole to SU 2 gauge fields”, J. Math. Phys., Vol. 19, (1978), pp. 320–328. http://dx.doi.org/10.1063/1.523506[Crossref]
• [3] I.I. Cotaescu: “Generalized Dirac monopoles in non-Abelian Kaluza-Klein theories”, Nucl. Phys. B, Vol. 719, (2005), pp. 140–164. http://dx.doi.org/10.1016/j.nuclphysb.2005.04.033[Crossref]
• [4] H.B. Lawson and M.L. Michelsohn: Spin geometry, Princeton Mathematical Series, Vol. 38, Princeton University Press, Princeton, NJ, 1989.
• [5] M. Spivak: A comprehensive introduction to differential geometry, Vol. II, Second edition, Publish or Perish, Inc., Berkeley, 1979.
• [6] G.W. Meng: “Geometric construction of the Quantum Hall Effect in all even dimensions”, J. Phys. A-Math. Gen., Vol. 36, (2003), pp. 9415–9423. http://dx.doi.org/10.1088/0305-4470/36/36/301[Crossref]

Identifiers

DOI

10.2478/s11534-007-0038-1