Abstract
The relation between defects of Abelian gauges and instantons is discussed for explicit examples in the Laplacian Abelian gauge. The defect coming from an instanton is pointlike and becomes a monopole loop with twist upon perturbation. The interplay between magnetic charge, twist and instanton number — encoded as a Hopf invariant — is investigated with the help of a new method, an auxiliary Abelian fibre bundle.
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Brower, R. C., Orginos, K.N. and Tan, C.-I. (1997) Magnetic monopole loop for the Yang-Mills instanton, Phys. Rev., D55, pp. 6313–6326
Bruckmann, F. (2001) Hopf defects as seeds for monopole loops, J. High Energy Phys., 0108, p. 30
Bruckmann, F., Heinzl, T., Vekua, T. and Wipf, A. (2001) Magnetic monopoles vs. Hopf defects in the Laplacian (Abelian) gauge, Nucl. Phys., B593, pp. 545–561
de Forcrand, P., private communication.
Jahn, O. (2000) Instantons and monopoles in general Abelian gauges, J. Phys., A33, pp. 2997–3019
't Hooft, G. (1981) Topology of the gauge condition and new confinement phases in non-Abelian gauge theories, Nucl. Phys., B190, pp. 455
Taubes, C. H. (1984) Morse theory and monopoles: Topology in long-ranged forces, in G. 't Hooft (ed.) Progress in Gauge Field Theory, Plenum Press, New York
van Baal, P. (1982) Some results for SU (N) gauge fields on the hypertorus, Commun. Math. Phys., 85, pp. 529
van der Sijs, A. J. (1997) Laplacian Abelian projection, Nucl. Phys. B (Proc. Suppl.), 53, pp. 535–537
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© 2002 Springer Science+Business Media Dordrecht
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Bruckmann, F. (2002). Monopoles From Instantons. In: Greensite, J., Olejník, Š. (eds) Confinement, Topology, and Other Non-Perturbative Aspects of QCD. NATO Science Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0502-9_5
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DOI: https://doi.org/10.1007/978-94-010-0502-9_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0874-0
Online ISBN: 978-94-010-0502-9
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