Aharonov-Bohm scattering by vortices of dimensionally-reduced Yang-Mills field

Physics

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Fermions, Gravitation Theory, String Theory, Topology, Yang-Mills Fields, Astronomical Models, Bessel Functions, Galactic Clusters, Gauge Theory, Supergravity

Scientific paper

The Aharonov-Bohm (A-B) scattering of low-energy fermions by a 4D Yang-Mills gauge field is considered theoretically in the context of a cosmic-string model with 6D matter fields. Two dimensions of the 6D space-time are compactified to derive the 4D cosmic string from the gauge field, and fermions are introduced in a fundamental representation of SU(2) as a matter field. The scattering of a massless fermion is observed, and the effective charge of the fermion is half of the unit when the space-time is reduced.

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