非均匀介质中的量子电磁应力张量
Quantum Electromagnetic Stress Tensor in an Inhomogeneous Medium
摘要：
继续研究应力张量的真空期望值在仅沿单个方向变化的背景中的行为的程序，我们在这里研究介电常数取决于单个空间坐标的介质中的电磁应力张量，具体地说，面向真空区域的平面电介质半空间。存在由时间和空间点分裂调节的发散，其对于横电模式和横磁模式具有普遍特征。分歧的性质取决于所采用的分散模型。并且在电介质和真空区域之间的边缘处存在奇点，这些奇点也具有普遍性，这取决于那里的材料特性中的不连续结构。提供了有关此类模型的重整化以及应力张量的重要性的评论。讨论了应力张量的“体”和“散射”部分分离的模糊性。
英文摘要：
Continuing a program of examining the behavior of the vacuum expectation value of the stress tensor in a background which varies only in a single direction, we here study the electromagnetic stress tensor in a medium with permittivity depending on a single spatial coordinate, specifically, a planar dielectric half-space facing a vacuum region. There are divergences occurring that are regulated by temporal and spatial point-splitting, which have a universal character for both transverse electric and transverse magnetic modes. The nature of the divergences depends on the model of dispersion adopted. And there are singularities occurring at the edge between the dielectric and vacuum regions, which also have a universal character, depending on the structure of the discontinuities in the material properties there. Remarks are offered concerning renormalization of such models, and the significance of the stress tensor. The ambiguity in separating "bulk" and "scattering" parts of the stress tensor is discussed.
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