Non-Abelian Aharonov-Bohm effect with the time-dependent gauge fields

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• 作者：Seyed Ali Hosseini Mansoori^a ; ^b ; ^{shossein@bu.edu" class="auth_mail" title="E-mail the corresponding author} ; Behrouz Mirza^b ; ^{b.mirza@cc.iut.ac.ir" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Non-Abelian ; Aharonov&ndash ; Bohm effect ; Time-dependent gauge fields ; Flux quantization
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 April 2016
• 年：2016
• 卷：755
• 期：Complete
• 页码：88-91
• 全文大小：226 K

文摘

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)$\mathit{SU}(N)$ 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.