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首页> 外文期刊>Physical review, D >Induced current in high-dimensional AdS spacetime in the presence of a cosmic string and a compactified extra dimension
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Induced current in high-dimensional AdS spacetime in the presence of a cosmic string and a compactified extra dimension

机译：在存在宇宙弦和压缩的额外尺寸的情况下，高维AdS时空中的感应电流

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In this paper, we analyze the bosonic current densities induced by a magnetic flux running along the core of an idealized cosmic string in a high-dimensional anti-de Sitter spacetime, admitting that an extra dimension coordinate is compactified. Additionally, we admit the presence of a magnetic flux enclosed by the compactified axis. To develop this analysis, we calculate the complete set of normalized bosonic wave functions obeying a quasiperiodicity condition, with arbitrary phase β , along the compactified extra dimension. In this context, only azimuthal and axial currents densities take place. As to the azimuthal current, two contributions appear. The first one corresponds to the standard azimuthal current in high-dimensional anti-de Sitter spacetime with a cosmic string without compactification, while the second contribution is a new one, induced by the compactification itself. The latter is an even function of the magnetic flux enclosed by the compactified axis and is an odd function of the magnetic flux along its core with period equal to quantum flux, Φ 0 = 2 π / e . On the other hand, the nonzero axial current density is an even function of the magnetic flux along the core of the string and an odd function of the magnetic flux enclosed by the compactified axis. We also find that the axial current density vanishes for untwisted and twisted bosonic fields in the absence of the magnetic flux enclosed by the compactified axis. Some asymptotic expressions for the current density are provided for specific limiting cases of the physical parameter of the model.
机译：在本文中，我们分析了在高维反德西特时空中沿着理想化的宇宙弦的核心运行的磁通量所感应的玻色子电流密度，承认了一个额外的维坐标被压缩。此外，我们承认存在被压实轴包围的磁通量。为了进行此分析，我们沿着压缩的额外维数，计算了服从准周期条件且具有任意相位β的归一化正弦波函数的完整集合。在这种情况下，仅发生方位和轴向电流密度。关于方位电流，出现了两个贡献。第一个对应于高维Anti-de Sitter时空中带有未压缩的宇宙弦的标准方位电流，而第二个对应于由压缩自身引起的新的贡献。后者是被压实轴包围的磁通量的偶数函数，并且是沿着其磁芯的周期等于量子通量Φ0 = 2π/ e的奇数函数。另一方面，非零轴向电流密度是沿着弦的芯部的磁通量的偶数函数，并且是由压实轴包围的磁通量的奇数函数。我们还发现，在没有被压实轴包围的磁通量的情况下，未扭曲和扭曲的玻色子场的轴向电流密度消失了。对于模型的物理参数的特定极限情况，提供了一些电流密度的渐近表达式。

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