分段均匀弦的Casimir能量

Casimir Energy for Piecewise Uniform Strings

Casimir能量本质上是由于边界的出现、时空的弯曲或是某些背景场的存在而引起的量子场真空能量。以分段均匀玻色子闭弦为例,结合Casimir能量的计算,对用来消除发散的几种正规化方法,如截断法、广义黎曼ζ函数法,作简单讨论。

The Casimir energy can be considered as the polarization of the vacuum energy of quantized fields due to the distortion caused by the presence of boundaries, curvature of the space-time manifold or some background fields. The Casimir energy for piecewise bosonic strings composed by two segments is calculated. Some regularization used in calculating Casimir energy, such as cut-off method and general ξ-function method, was discussed.