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

Abstract

In this talk I study the topology of mathematically idealised center vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the n th power of a non-trivial center element to Wilson loops when they are n-foldly linked to the latter. In ordinary 3-space generic center vortices represent closed magnetic flux loops which evolve in time. I show that the topological charge of such a time-dependent vortex loop can be entirely expressed by the temporal changes of its writhing number.

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Reinhardt, H. (2002). Topology of Center Vortices. 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_30

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  • DOI: https://doi.org/10.1007/978-94-010-0502-9_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0874-0

  • Online ISBN: 978-94-010-0502-9

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