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Non-Abelian Aharonov-Bohm effect with the time-dependent gauge fields (1601.08164v2)
Published 29 Jan 2016 in quant-ph, cond-mat.supr-con, and hep-th
Abstract: We investigate the non-Abelian Aharonov-Bohm (AB) effect for time-dependent gauge fields. We prove that the non-Abelian AB phase shift related to time-dependent gauge fields, in which the electric and magnetic fields are written in the adjoint representation of $SU(N)$ generators, vanishes up to the first order expansion of the phase factor. Therefore, the flux quantization in a superconductor ring does not appear in the time-dependent Abelian or non-Abelian AB effect.
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