Relativistic Anandan quantum phase and the Aharonov-Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime

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• 作者：K. Bakke^a ; ^{kbakke@fisica.ufpb.br" class="auth_mail" title="E-mail the corresponding author} ; C. Furtado^a ; ^{furtado@fisica.ufpb.br" class="auth_mail" title="E-mail the corresponding author} ; H. Belich^b ; ^{belichjr@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Lorentz symmetry violation ; Anandan quantum phase ; Aharonov&ndash ; Casher effect ; Geometric quantum phase ; Aharonov&ndash ; Anandan quantum phase ; Cosmic string spacetime
• 刊名：Annals of Physics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：372
• 期：Complete
• 页码：544-552
• 全文大小：433 K

文摘

From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the violation of the Lorentz symmetry and write an effective metric for the cosmic string spacetime. Then, we investigate the arising of an analogue of the Anandan quantum phase for a relativistic Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string spacetime under Lorentz symmetry breaking effects. Besides, we analyse the influence of the effects of the Lorentz symmetry violation and the topology of the defect on the Aharonov–Casher geometric quantum phase in the nonrelativistic limit.