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Noncontractible hyperloops in gauge models with Higgs fields in the fundamental representation

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Abstract

We study finite-energy configurations in SO(N) gauge theories with Higgs fields in the fundamental representation. For all winding numbers, noncontractible hyperloops are constructed. The corresponding energy density is spherically symmetric, and the configuration with maximal energy on each hyperloop can be determined. Noncontractible hyperloops with an arbitrary winding number for SU(2) gauge theory are also given.

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  1. School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, 4, Dublin, Ireland

    Jürgen Burzlaff

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  1. Jürgen Burzlaff
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Burzlaff, J. Noncontractible hyperloops in gauge models with Higgs fields in the fundamental representation. Lett Math Phys 8, 459–465 (1984). https://doi.org/10.1007/BF00400975

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  • DOI: https://doi.org/10.1007/BF00400975

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