论文标题
在Neumann边界条件的涡旋缺陷背景下，量子标量物质中诱导的真空电流和磁通量
Induced vacuum current and magnetic flux in quantum scalar matter in the background of a vortex defect with the Neumann boundary condition
论文作者
论文摘要
在任意维度的空间中，以Abrikosov-Nielsen-Olesen涡流形式形式的拓扑缺陷被认为是量规载体管，对于量子物质来说是不可渗透的。带电标量物质场在涡旋背景中进行量化，其刚性（Neumann）边界条件在涡流的侧面施加。我们表明，如果物质场的康普顿波长大大超过了涡流的横向大小，则在真空中诱导了围绕涡流的电流循环。真空电流是涡流通量的值周期性的，从而提供了Aharonov-bohm效应的量子场理论表现。真空电流导致诱导的真空磁通量的出现，对于某些管子的厚度，它超过了由单数涡流丝引起的真空磁通量。将结果与在涡流侧面施加的完美反射（dirichlet）边界条件的情况下进行了比较。结果表明，在诺伊曼边界条件的情况下，诱导的真空电流的绝对值和诱导的真空磁通量大于在迪里奇的边界条件下。
A topological defect in the form of the Abrikosov-Nielsen-Olesen vortex in a space of arbitrary dimension is considered as a gauge-flux-carrying tube that is impenetrable for quantum matter. Charged scalar matter field is quantized in the vortex background with the perfectly rigid (Neumann) boundary condition imposed at the side surface of the vortex. We show that a current circulating around the vortex is induced in the vacuum, if the Compton wavelength of the matter field exceeds the transverse size of the vortex considerably. The vacuum current is periodic in the value of the gauge flux of the vortex, providing a quantum-field-theoretical manifestation of the Aharonov-Bohm effect. The vacuum current leads to the appearance of an induced vacuum magnetic flux that for some values of the tube thickness exceeds the vacuum magnetic flux induced by a singular vortex filament. The results were compared to the results obtained earlier in the case of the perfectly reflecting (Dirichlet) boundary condition imposed at the side surface of the vortex. It is shown that the absolute value of the induced vacuum current and the induced vacuum magnetic flux in the case of the Neumann boundary condition is greater than in the case of the Dirichlet boundary condition.
