论文标题
宇宙弦背景中量子骨质物质真空中的磁通量
Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background
论文作者
论文摘要
相对论自旋0物质场在具有不变横向大小的直宇宙字符串的背景下进行量化。最通用的边界条件确保物质场进入宇宙字符串内部的不可穿透性被证明是罗宾条件,边界参数从边界的点任意任意变化。结合状态在Fock-Klein-Gordon方程的溶液范围中的作用已阐明。在一般情况下,我们得出了总磁通量的分析表达,该磁通量在宇宙弦背景中被诱导的真空中诱导。表明,进一步的数值分析和物理合理性的要求限制了由于边界条件引起的歧义。分析了诱导的真空通量对弦通量和张力以及弦的横向大小的依赖性。
The relativistic spin-0 matter field is quantized in the background of a straight cosmic string with nonvanishing transverse size. The most general boundary condition ensuring the impenetrability of the matter field into the interior of the cosmic string is shown to be the Robin condition with a boundary parameter varying arbitrarily from point to point of the boundary. The role of the bound states in the spectrum of solutions to the Fock-Klein-Gordon equation is elucidated. We derive, in the general case, an analytic expression for the total magnetic flux which is induced in the vacuum in the cosmic string background. The further numerical analysis and requirement of physical plausibility are shown to restrict ambiguity which is due to the boundary condition. The dependence of the induced vacuum magnetic flux on the string flux and tension, as well as on the transverse size of the string, is analyzed.