The Dirac quantization condition imposes some very peculiar and stringent constraints on the nature of monopoles. One of the most interesting results is that such a particle has a classical radius larger than its quantum (Compton) or « atomic » (Bohr) radius. No other elementary particle shows this property. This indicates that the monopoles are inherently relativistic. Atom like stable bound states of oppositely charged monopoles are unphysical and a pair of primordial monopoles are prone to annihilation, which may explain the so-called monopole paradox. Conversely, if the value of the Sommerfeld fine-structure constant were greater than unity, then « magnetic-monopole atoms » would have been stable and « electric atoms » unstable. It appears that in a physical universe for a given value of the fine-structure constant only one kind of sources or charges (either electric or magnetic) are permissible. This is a quite general requirement imposed by the laws of electrodynamics, quantum mechanics and relativity acting simultaneously in conjunction to each other.
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P. A. M. Dirac:Proc. R. Soc. London, Ser. A,133, 60 (1931);Phys. Rev.,74, 817(1948).
Harish-Chandra:Phys. Rev.,74, 883 (1948).
J. Schwinger:Science,165, 757 (1969) and the references therein.
M. K. Saha:Ind. J. Phys.,10, 141 (1936).
P. Langaoker: SLAC preprint 2544 (1980).
A. ’thooft:Nucl. Phys. B,79, 276 (1974);A. Polyakov:JETP Lett.,20, 194 (1974).
A. O. Barut:Phys. Lett. B,63, 73 (1976).
R. P. Feynman:Quantum Electrodynamics (New York, N.Y.), p. 106.
E. Katz:Am. J. Phys.,33 249 (1963).
J. P. Preskill:Phys. Rev. Lett.,43, 1365 (1979);R. A. Corrigan Jr.:Nature,288, 348 (1980);S. Mussinov:Phys. Lett. B,110, 221 (1982).
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Datta, T. The fine-structure constant, magnetic monopoles and dirac charge quantization condition. Lett. Nuovo Cimento 37, 51–54 (1983). https://doi.org/10.1007/BF02818083
- Quantum theory
- quantum mechanics