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Abstract

We finally reap the topological harvest. Topological methods are applied to analyze the solutions of gauge field equations with internal symmetry groups. Different classical solutions are associated with real or hypothetical particles, excitations, vortices. Two classes of solutions are of greatest interest for physics, viz., ’tHooftPolyakov monopoles and instantons, which we mostly consider in the chapter. Even though instanton analogs, two-dimensional pseudoparticles, exist in two-dimensional chiral fields, too, we consider this latter case separately.

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© 1993 Springer Science+Business Media New York

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Monastyrsky, M. (1993). Topology of Gauge Fields. In: Topology of Gauge Fields and Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2403-2_4

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  • DOI: https://doi.org/10.1007/978-1-4899-2403-2_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2405-6

  • Online ISBN: 978-1-4899-2403-2

  • eBook Packages: Springer Book Archive

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