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

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 f...

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Main Authors: Seyed Ali Hosseini Mansoori, Behrouz Mirza
Format: Article
Language:English
Published: Elsevier 2016-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269316001003
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author Seyed Ali Hosseini Mansoori
Behrouz Mirza
author_facet Seyed Ali Hosseini Mansoori
Behrouz Mirza
author_sort Seyed Ali Hosseini Mansoori
collection DOAJ
description 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. Keywords: Non-Abelian, Aharonov–Bohm effect, Time-dependent gauge fields, Flux quantization
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spelling doaj.art-6f04eff3c702403ab6cb1302ddbef3362022-12-21T18:31:38ZengElsevierPhysics Letters B0370-26932016-04-017558891Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fieldsSeyed Ali Hosseini Mansoori0Behrouz Mirza1Department of Physics, Boston University, 590 Commonwealth Ave., Boston, MA 02215, USA; Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran; Corresponding author at: Department of Physics, Isfahan University of Technology, Isfahan 84756-83111, Iran.Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, IranWe 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. Keywords: Non-Abelian, Aharonov–Bohm effect, Time-dependent gauge fields, Flux quantizationhttp://www.sciencedirect.com/science/article/pii/S0370269316001003
spellingShingle Seyed Ali Hosseini Mansoori
Behrouz Mirza
Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields
Physics Letters B
title Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields
title_full Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields
title_fullStr Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields
title_full_unstemmed Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields
title_short Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields
title_sort non abelian aharonov bohm effect with the time dependent gauge fields
url http://www.sciencedirect.com/science/article/pii/S0370269316001003
work_keys_str_mv AT seyedalihosseinimansoori nonabelianaharonovbohmeffectwiththetimedependentgaugefields
AT behrouzmirza nonabelianaharonovbohmeffectwiththetimedependentgaugefields