Computational approaches to examine the vacuum polarization density
Computational approaches to examine the vacuum polarization density
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DOI：
10.1140/epjd/s10053-022-00586-1
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发表时间：
2023-01-01
影响因子：
1.8
通讯作者：
Grobe, R.
中科院分区：
文献类型：
--
作者：
Gong, C.;Li, Y. J.;Grobe, R.
基于计算量子场理论和狄拉克方程的解，我们给出了强外场诱导真空极化密度的五种独立计算方法。我们对空间降维系统的这些方法进行了比较，发现一些方法依赖于能量重整化、能量截断或周期边界。我们还说明了极高强度场线性叠加原理破裂的空间含义。本文的一个主要焦点是讨论每种方法的未来挑战，这些挑战可能会激励新的理论和计算研究。
Based on computational quantum field theory and solutions to the Dirac equation, we show how the vacuum's polarization density induced by strong external field can be calculated based on five independent methods. We compare these methods for a spatially reduced dimensional system and show that some approaches rely on energy renormalizations, energy cutoffs or periodic boundaries. We also illustrate the spatial implications of the breakdown of the linear superposition principle for extremely high intensity fields. A main focus of the article is to discuss future challenges for each approach that might motivate new theoretical and computational studies.