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Comments on the classical theory of magnetic monopoles

Published online by Cambridge University Press:  24 October 2008

D. T. Miller
D. T. Miller
Affiliation:
Department of Physics, University College, London
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Abstract

The classical theory of electromagnetism with both electric and magnetic charges is discussed. Following Gamblin(l) we proceed from an action principle and investigate the resulting particle equations. A consistent theory in which electrically and magnetically charged particles interact amongst themselves and with each other, without any constraints, is shown to be possible, in contrast to the conclusions of Gamblin. The introduction of constraints is considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 3 , May 1971 , pp. 449 - 456
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Gamblin, R. L.Comments on the classical theory of magnetic monopoles. J. Math. Phys. 10 (1969), 46.CrossRefGoogle Scholar
(2)Dirac, P. A. M.Theory of Dirac monopoles. Phys. Rev. 74 (1948), 817.CrossRefGoogle Scholar
(3)Cabibbo, N. and Ferrari, E.Quantum electrodynamics with Dirac monopoles. Nuovo Cimento 23 (1962), 1147.CrossRefGoogle Scholar
(4)Rohrlich, F.Classical theory of magnetic monopoles. Phys. Rev. 150 (1966), 1104.CrossRefGoogle Scholar
(5)Rosenbaum, D.Proof of the impossibility of a classical action principle for magnetic monopoles and charges without subsidiary conditions. Phys. Rev. 147 (1966), 891.CrossRefGoogle Scholar
(6)Yan, T-M.Classical theory of magnetic charge. Phys. Rev. 160 (1967), 1182.CrossRefGoogle Scholar
(7)Dirac, P. A. M.Quantised singularities in the electromagnetic field. Proc. Roy. Soc. Ser. A 133 (1931), 60.Google Scholar
(8)Schwinger, J. S.Magnetic charge and quantum field theory. Phys. Rev. 144 (1966), 1087.CrossRefGoogle Scholar
(9)Taylor, J. G.Non-classical theory of magnetic monopoles. Phys. Rev. Letters 18 (1967), 713.CrossRefGoogle Scholar
(10) See, for example, Misner, C. W. and Wheeler, J. A.Classical physics as geometry. Ann. Phys. 2 (1957), 525.CrossRefGoogle Scholar
Goldberg, S. I.Curvature and homology (Academic Press, 1962).Google Scholar
Flanders, H.Differential forms (Academic Press, 1963).Google Scholar
(11) See, for example, Geroch, R. P.Topology in general relativity. J. Math. and Phys. 8 (1967), 782.CrossRefGoogle Scholar
(12)Schwinger, J. S.Energy and momentum density in field theory. Phys. Rev. 130 (1963), 800.CrossRefGoogle Scholar
(13) See, for example, Amaldi, E. et al. Search for Dirac magnetic poles. CERN report 63–13.Google Scholar