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- W3104879818 abstract "In this paper, we consider Yang–Mills theory on manifolds [Formula: see text] with a [Formula: see text]-dimensional Riemannian manifold [Formula: see text] of special holonomy admitting gauge instanton equations. Instantons are considered as particle-like solutions in [Formula: see text] dimensions whose static configurations are concentrated on [Formula: see text]. We study how they evolve in time when considered as solutions of the Yang–Mills equations on [Formula: see text] with moduli depending on time [Formula: see text]. It is shown that in the adiabatic limit, when the metric in the [Formula: see text] direction is scaled down, the classical dynamics of slowly moving instantons corresponds to a geodesic motion in the moduli space [Formula: see text] of gauge instantons on [Formula: see text]. Similar results about geodesic motion in the moduli space of monopoles and vortices in higher dimensions are briefly discussed." @default.
- W3104879818 created "2020-11-23" @default.
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- W3104879818 date "2016-03-01" @default.
- W3104879818 modified "2023-09-25" @default.
- W3104879818 title "Scattering of instantons, monopoles and vortices in higher dimensions" @default.
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- W3104879818 doi "https://doi.org/10.1142/s0219887816500328" @default.
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