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arXiv · 1501.03858

The time-dependent non-Abelian Aharonov-Bohm effect

Max Bright·Douglas Singleton
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Abstract

In this article, we study the time-dependent Aharonov-Bohm effect for non-Abelian gauge fields. We use two well known time-dependent solutions to the Yang-Mills field equations to investigate the Aharonov-Bohm phase shift. For both of the solutions, we find a cancellation between the phase shift coming from the non-Abelian "magnetic" field and the phase shift coming from the non-Abelian "electric" field, which inevitably arises in time-dependent cases. We compare and contrast this cancellation for the time-dependent non-Abelian case to a similar cancellation which occurs in the time-dependent Abelian case. We postulate that this cancellation occurs generally in time-dependent situations for both Abelian and non-Abelian fields.

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Max Bright, Douglas Singleton. 2015-04-08. The time-dependent non-Abelian Aharonov-Bohm effect. https://doi.org/10.1103/physrevd.91.085010

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