论文标题
在平坦边界存在下，在高维宇宙弦中磁通量引起的真空电流和极化
Vacuum current and polarization induced by magnetic flux in a higher-dimensional cosmic string in the presence of a flat boundary
论文作者
论文摘要
在本文中，我们分析了沿较高维宇宙弦的磁通量在与弦的平坦边界正交的情况下，沿较高维宇宙弦的磁通量诱导的真空骨电流和极化。在我们的分析中，我们假设量子场在平坦边界上服从Dirichlet或Neunmann条件。为了制定此分析，我们计算相应的Wightman函数。由于边界的结果，Wightamn函数以两个贡献表示：第一个函数对应于无边界的宇宙弦乐Wightman函数，而第二个功能则由边界诱导。边界引起的贡献对Dirichlet和Newman量表的迹象相反。由于文献中已经开发了无边界宇宙弦弦时期真空电流和极化效应的分析，因此我们主要对边界引起的效果的计算感兴趣。关于诱导的电流，我们表明，根据所采用的条件，边界引起的方位角电流可以取消或加强边界上的总诱导方位角电流。此外，边界诱导的方位角电流是磁通量的周期性奇数函数。关于场平方和能量量张量的磁场的真空预期值，边界引起的贡献甚至是磁通量的函数。特别是，我们考虑了能量密度的边界引起的部分的一些特殊情况，并评估边界上的正常真空力。
In this paper we analyze the vacuum bosonic current and polarization induced by a magnetic flux running along a higher dimensional cosmic string in the presence of a flat boundary orthogonal to the string. In our analysis we assume that the quantum field obeys Dirichlet or Neunmann conditions on the flat boundary. In order to develop this analysis we calculate the corresponding Wightman function. As consequence of the boundary, the Wightamn function is expressed in term of two contributions: The first one corresponds to the boundary-free cosmic string Wightman function, while the second one is induced by the boundary. The boundary-induced contributions have opposite signs for Dirichlet and Newman scalars. Because the analysis of vacuum current and polarization effects in the boundary-free cosmic string spacetime have been developed in the literature, here we are mainly interested in the calculations of the effects induced by the boundary. Regarding to the induced current, we show that, depending on the condition adopted, the boundary-induced azimuthal current can cancel or intensifies the total induced azimuthal current on the boundary; moreover, the boundary-induced azimuthal current is a periodic odd function of the magnetic flux. As to the vacuum expectation values of the field squared and the energy-momentum tensor, the boundary-induced contributions are even functions of magnetic flux. In particular, we consider some special cases of the boundary-induced part of the energy density and evaluate the normal vacuum force on the boundary.
