Non-Abelian Gauge Configuration with a Magnetic Field Concentrated at a Point
Minoru Hirayama, Takeshi Hamada, Masafumi Hasegawa
TL;DR
This paper investigates a specific SU(2) gauge configuration with a magnetic field localized at a point, exploring its relation to the Aharonov-Bohm effect, cohomological aspects, and quantum mechanics implications.
Contribution
It introduces a novel gauge configuration with a point-concentrated magnetic field and analyzes its topological and quantum mechanical properties.
Findings
Connection to Aharonov-Bohm gauge potential clarified
Cohomological interpretation in three-dimensional space provided
Quantum mechanics of spinning particles in this gauge discussed
Abstract
A specific SU(2) gauge configuration yielding a magnetic field concentrated at a point is investigated. Its relation to the Aharonov-Bohm gauge potential and its cohomological meaning in a three dimensional space are clarified. Quantum mechanics of a spinning particle in such a gauge configuration is briefly discussed.
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