Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutative plane

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• 作者：Kai Ma^a ; ^{makainca@yeah.net" class="auth_mail" title="E-mail the corresponding author} ; Jian-Hua Wang^a ; Huan-Xiong Yang^b
• 关键词：Noncommutative space ; Geometric phase effects
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 May 2016
• 年：2016
• 卷：756
• 期：Complete
• 页码：221-227
• 全文大小：351 K

文摘

We provide a new approach to study the noncommutative effects on the neutral Dirac particle with anomalous magnetic or electric dipole moment on the noncommutative plane. The advantages of this approach are demonstrated by investigating the noncommutative corrections on the Aharonov–Casher and He–McKellar–Wilkens effects. This approach is based on the effective rc">rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316001787&_mathId=si1.gif&_user=111111111&_pii=S0370269316001787&_rdoc=1&_issn=03702693&md5=a8368b38ddbd5e86b919e11d4ae1670d" title="Click to view the MathML source">U(1)r hidden">roll">Uretchy="false">(1retchy="false">) gauge symmetry for the electrodynamics of spin on the two dimensional space. The Seiberg–Witten map for this symmetry is then employed when we study the noncommutative corrections. Because the Seiberg–Witten map preserves the gauge symmetry, the noncommutative corrections can be defined consistently with the ordinary phases. Based on this approach we find the noncommutative corrections on the Aharonov–Casher and He–McKellar–Wilkens phases consist of two terms. The first one depends on the beam particle velocity and consistence with the previous results. However the second term is velocity-independent and then completely new. Therefore our results indicate it is possible to investigate the noncommutative space by using ultra-cold neutron interferometer in which the velocity-dependent term is negligible. Furthermore, both these two terms are proportional to the ratio between the noncommutative parameter θ   and the cross section rc">rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316001787&_mathId=si2.gif&_user=111111111&_pii=S0370269316001787&_rdoc=1&_issn=03702693&md5=bb1a006a37852ee8fd870b9d1d25dd29" title="Click to view the MathML source">A_e/mr hidden">roll">row>Arow>row>eretchy="false">/mrow> of the electrical/magnetic charged line enclosed by the trajectory of beam particles. Therefore the experimental sensitivity can be significantly enhanced by reducing the cross section of the charge line rc">rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316001787&_mathId=si2.gif&_user=111111111&_pii=S0370269316001787&_rdoc=1&_issn=03702693&md5=bb1a006a37852ee8fd870b9d1d25dd29" title="Click to view the MathML source">A_e/mr hidden">roll">row>Arow>row>eretchy="false">/mrow>.