论文标题
真空极化接近边界
Vacuum polarization near boundaries
论文作者
论文摘要
我们研究边界条件对两个时空尺寸的带电标量场真空极化的影响。我们发现Dirichlet和Neumann边界条件都导致筛查。在Dirichlet的情况下，真空极化电荷密度在边界上消失，而在Neumann边界条件下，它在那里达到了最大值。在临界场强的情况下，真空极化在诺伊曼边界条件下有分歧，这是由于在外部场的存在下最低的能量模式而产生的效果。
We study the effect of boundary conditions on vacuum polarization for charged scalar fields in two space-time dimensions. We find that both Dirichlet and Neumann boundary conditions lead to screening. In the Dirichlet case, the vacuum polarization charge density vanishes at the boundary, whereas it attains its maximum there for Neumann boundary conditions. At a critical field strength, the vacuum polarization diverges for Neumann boundary conditions, an effect due to the instability of the lowest energy mode in the presence of the external field.
