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Part of the book series: NATO Science Series ((NAII,volume 83))

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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References

  1. 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

    ADS  Google Scholar 

  2. Bruckmann, F. (2001) Hopf defects as seeds for monopole loops, J. High Energy Phys., 0108, p. 30

    Article  MathSciNet  ADS  Google Scholar 

  3. 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

    Article  MathSciNet  ADS  Google Scholar 

  4. de Forcrand, P., private communication.

    Google Scholar 

  5. Jahn, O. (2000) Instantons and monopoles in general Abelian gauges, J. Phys., A33, pp. 2997–3019

    MathSciNet  ADS  Google Scholar 

  6. 't Hooft, G. (1981) Topology of the gauge condition and new confinement phases in non-Abelian gauge theories, Nucl. Phys., B190, pp. 455

    Article  MathSciNet  ADS  Google Scholar 

  7. 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

    Google Scholar 

  8. van Baal, P. (1982) Some results for SU (N) gauge fields on the hypertorus, Commun. Math. Phys., 85, pp. 529

    Article  ADS  MATH  Google Scholar 

  9. van der Sijs, A. J. (1997) Laplacian Abelian projection, Nucl. Phys. B (Proc. Suppl.), 53, pp. 535–537

    Article  ADS  Google Scholar 

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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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