有限厚度不可穿透磁涡旋对量子化标量场真空的极化
Polarization of the vacuum of a quantized scalar field by an impenetrable magnetic vortex of finite thickness
摘要：
本文研究了有限横截面管状磁场背景对在管状介质上满足Dirichlet边界条件的量子化带电质量标量场真空度的影响。它表明，如果与标量场的康普顿波长大大超过管的横向尺寸，然后真空能量，这是有限的和周期性的值封闭在管中的磁通量上感生在一个平面上的横向管。宇宙弦背景中的真空极化的一般功能的一些后果进行了讨论。
英文摘要：
We consider the effect of the magnetic field background in the form of a tube of the finite transverse size on the vacuum of the quantized charged massive scalar field which is subject to the Dirichlet boundary condition at the tube. It is shown that, if the Compton wavelength associated with the scalar field exceeds considerably the transverse size of the tube, then the vacuum energy which is finite and periodic in the value of the magnetic flux enclosed in the tube is induced on a plane transverse to the tube. Some consequences for generic features of the vacuum polarization in the cosmic-string background are discussed.
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