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Fermionic vacuum currents in topologically nontrivial braneworlds: Two-brane geometry

机译:拓扑非竞争Braneworlds中的Fermionic真空电流:两锋几何形状

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The vacuum expectation value (VEV) of the fermionic current density is investigated in the geometry of two parallel branes in locally AdS spacetime with a part of spatial dimensions compactified to a torus. Along the toral dimensions quasiperiodicity conditions are imposed with general phases and the presence of a constant gauge field is assumed. The influence of the latter on the VEV is of the Aharonov-Bohm type. Different types of boundary conditions are discussed on the branes, including the bag boundary condition and the conditions arising in Z 2 -symmetric braneworld models. Nonzero vacuum currents appear along the compact dimensions only. In the region between the branes they are decomposed into the brane-free and brane-induced contributions. Both these contributions are periodic functions of the magnetic flux enclosed by compact dimensions with the period equal to the flux quantum. Depending on the boundary conditions, the presence of the branes can either increase or decrease the vacuum current density. For a part of boundary conditions, a memory effect is present in the limit when one of the branes tends to the AdS boundary. Unlike to the fermion condensate and the VEV of the energy-momentum tensor, the VEV of the current density is finite on the branes. Applications are given to higher-dimensional generalizations of the Randall-Sundrum models with two branes and with toroidally compact subspace. The features of the fermionic current are discussed in odd-dimensional parity and time-reversal symmetric models. The corresponding results for three-dimensional spacetime are applied to finite length curved graphene tubes threaded by a magnetic flux. It is shown that a nonzero current density can also appear in the absence of the magnetic flux if the fields corresponding to two different points of the Brillouin zone obey different boundary conditions on the tube edges.
机译:在局部ADS间隔的两个平行布兰斯的几何形状中研究了Fermionic电流密度的真空期望值(VEV),其空间尺寸与圆环压实的一部分空间尺寸。沿着角度尺寸施加QuaSiPeriocity条件,并施加一般相位,并且假设存在恒定量域的存在。后者对VEV的影响是AHARONOV-BOHM类型。在布兰斯上讨论了不同类型的边界条件,包括袋边界条件和Z 2 -MMETRICBRANEWORLD模型中出现的条件。非零真空电流仅沿着紧凑的尺寸出现。在褐色之间的区域中,它们被分解成无牙轮和扁圆柱诱导的贡献。这两种贡献都是通过紧凑尺寸包围的磁通量的周期性功能,其周期等于通量量子。根据边界条件,褐色的存在可以增加或降低真空电流密度。对于边界条件的一部分,当其中一个布兰斯倾向于广告边界时,存储器效果存在于极限中。与FERMION凝结物和能量动量张量的VEV不同,电流密度的VEV是有限的。将应用程序赋予Randall-undrum型号的高尺寸概括,其中randall-sundrum模型与两个浅蓝色和环形紧凑的子空间。在奇数奇偶阶段和时间反转对称模型中讨论了Fermionic电流的特征。将三维时期的相应结果应用于由磁通量螺纹螺纹的有限长度的弯曲石墨烯管。结果表明,如果布里渊区的两个不同点对应于管边缘上的不同边界条件,则非零电流密度也可以出现在没有磁通量的情况下。

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