Magnetic monopoles have rivaled black holes as the most beautiful and elusive entities in the world of theoretical physics since they were first considered in the early twentieth century. They naturally arise in electromagnetism and have immediate implications on the underlying symmetries, both dynamical and internal, at both the classical and quantum level. In this article we will recap some facts about magnetic monopoles in electromagnetism, in particular notions regarding their contribution to the angular momentum of a system and how these concepts are related to the quantization condition for the product of the charges of a fundamental electric pole and magnetic pole. We then proceed to consider magnetic poles in general relativity and briefly address similar considerations in this theory.
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References
P. A. M. Dirac, “Quantised singularities in the electromagnetic field,” Proc. R. Soc. Lond. A 133 (1931) 60.
M. Fierz, Helv. Phys. Acta. 17 (1944) 27.
A. S. Goldhaber, “Spin and statistics connection for charge – monopole composites,” Phys. Rev. Lett. 36 (1976) 1122.
J. S. Schwinger, “Sources and magnetic charge,” Phys. Rev. 173 (1968) 1536.
J. S. Schwinger, “A magnetic model of matter,” Science 165 (1969) 757.
S. R. Coleman, “The magnetic monopole fifty years later,” HUTP-82/A032 Lectures given at International School of Subnuclear Physics, Erice, Italy, Jul 31–Aug 11, 1981, at 6th Brazilian Symposium on Theoretical Physics, Jan 7–18, 1980, at Summer School in Theoretical Physics, Les Houches, France, and at Banff Summer Institute on Particle and Fields, Aug 16–28, 1981.
F. Wilczek, Phys. Rev. Lett. 48 (1982) 1144.
S. Deser, A. Gomberoff, M. Henneaux and C. Teitelboim, “Duality, self-duality, sources and charge quantization in abelian N-form theories,” Phys. Lett. B 400 (1997) 80 [arXiv:hep-th/9702184].
S. Deser, A. Gomberoff, M. Henneaux and C. Teitelboim, “p-Brane dyons and electric-magnetic duality,” Nucl. Phys. B 520 (1998) 179 [arXiv:hep-th/9712189].
C. W. Bunster, S. Cnockaert, M. Henneaux and R. Portugues, Phys. Rev. D 73 (2006) 105014 [arXiv:hep-th/0601222].
E. Newman, L. Tamburino and T. Unti, “Empty space generalization of the Schwarzschild metric,” J. Math. Phys. 4 (1963) 915.
A. Zee, “Gravitomagnetic pole and mass quantization,” Phys. Rev. Lett. 55 (1985) 2379 [Erratum-ibid. 56 (1986) 1101].
S. Ramaswamy and A. Sen, “Comment on ‘Gravitomagnetic pole and mass quantization.’,” Phys. Rev. Lett. 57 (1986) 1088.
J. Samuel and B. R. Iyer, “Comment on ‘Gravitomagnetic pole and mass quantization.’,” Phys. Rev. Lett. 57 (1986) 1089.
M. T. Mueller and M. J. Perry, “Constraints on magnetic mass,” Class. Quant. Grav. 3 (1986) 65.
A. Magnon, “Global techniques, dual mass, and causality violation,” J. Math. Phys. 27 (1986) 1066.
C. W. Misner, “The flatter regions of Newman, Unti, and Tamburino's generalized Schwarzschild space,” J. Math. Phys. 4(7) (1963) 924.
P. A. M. Dirac, “The theory of magnetic poles,” Phys. Rev. 74 (1948) 817.
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Portugués, R. (2009). Magnetic Monopoles in Electromagnetism and Gravity. In: Zanelli , J., Henneaux, M. (eds) Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87499-9_15
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