论文标题
在存在宇宙弦和压缩尺寸的情况下，ADS时空中诱导的费米电流
Induced fermionic current in AdS spacetime in the presence of a cosmic string and a compactified dimension
论文作者
论文摘要
在本文中，我们考虑了一个巨大的带电的费米量量子场，并研究了沿着理想化宇宙弦的核心在背景几何形状中沿着5维抗DE保姆时空的背景几何形状的磁通量引起的当前密度，假设一个额外的维度是压实的。沿着紧凑型尺寸的准周期性条件以一般阶段施加在场上。此外，我们承认存在由压实轴包围的磁通量。后者产生了类似ahanorov-bohm对电流真空期望值的影响。在此设置中，仅发生方位角和轴向电流密度。前者提出了两个贡献，其中第一个贡献是由于5维广告中的宇宙弦而没有紧凑的维度，而第二个则是由紧凑型本身引起的。后者是沿宇宙弦的磁通量的奇数函数，也是由压实轴封闭的磁通量的均匀函数，其周期为等于量子通量。至于诱导的轴向电流，它是沿弦芯的磁通量的均匀函数，也是由紧凑型周边封闭的磁通量的奇数功能。对于沿紧凑型尺寸的无扭曲和扭曲的场，轴向电流消失。提供了无质量的场情况，以及模型参数的一些渐近极限。
In this paper, we consider a massive charged fermionic quantum field and investigate the current densities induced by a magnetic flux running along the core of an idealized cosmic string in the background geometry of a 5-dimensional anti-de Sitter spacetime, assuming that an extra dimension is compactified. Along the compact dimension quasi-periodicity condition is imposed on the field with a general phase. Moreover, we admit the presence of a magnetic flux enclosed by the compactified axis. The latter gives rise to Ahanorov-Bohm-like effect on the vacuum expectation value of the currents. In this setup, only azimuthal and axial current densities take place. The former presents two contributions, with the first one due to the cosmic string in a 5-dimensional AdS spacetime without compact dimension, and the second one being induced by the compactification itself. The latter is an odd function of the magnetic flux along the cosmic string and an even function of the magnetic flux enclosed by the compactified axis with period equal to the quantum flux. As to the induced axial current, it is an even function of the magnetic flux along the string's core and an odd function of the magnetic flux enclosed by the compactification perimeter. For untwisted and twisted field along compact dimension, the axial current vanishes. The massless field case is presented as well as some asymptotic limits for the parameters of the model.
