Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors
复制标题
均匀加速经典源作为 Unruh-DeWitt 探测器的限制
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
G. Matsas
中科院分区：
文献类型：
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作者：
Gabriel Cozzella;S. Fulling;A. G. Landulfo;G. Matsas
虽然与经历加速的二能级量子系统相关的热效应和辐射效应现在被广泛理解和接受，但围绕加速经典电荷的更简单和更古老的问题仍然存在大量争议。我们认为，这些系统之间的类比是肤浅的：有一个意义上的“UD检测器”在一个量化的标量场有效地作为一个经典的源，该字段，如果其能级的分裂是如此之小，可以忽略不计。在明确地表明，一个探测器与未解决的内部结构的行为作为一个无结构的标量源，我们使用该分析重新推导标量版本的加速电磁荷的先前分析，没有呼吁麻烦的概念“零能量粒子。“然后，当探测器能隙从一开始就为零时，我们恢复了这些结果。这证明了非正式术语“零频率林德勒模式”作为“具有任意小能量的林德勒模式”的简写是正确的。在附录中，我们比以前更详细地研究了小频率极限下简正模的数学行为。那么，关于共加速观测者是否能探测到加速度辐射这一令人烦恼（而且有些模棱两可）的问题就可以在一个合理的基础上加以研究了。
Although the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an accelerated classical charge. We argue that the analogy between these systems is more than superficial: There is a sense in which a "UD detector" in a quantized scalar field effectively acts as a classical source for that field if the splitting of its energy levels is so small as to be ignored. After showing explicitly that a detector with unresolved inner structure does behave as a structureless scalar source, we use that analysis to rederive the scalar version of a previous analysis of the accelerated electromagnetic charge, without appealing to the troublesome concept of "zero-energy particles." Then we recover these results when the detector energy gap is taken to be zero from the beginning. This vindicates the informal terminology "zero-frequency Rindler modes" as a shorthand for "Rindler modes with arbitrarily small energy." In an appendix, the mathematical behavior of the normal modes in the limit of small frequency is examined in more detail than before. The vexed (and somewhat ambiguous) question of whether coaccelerating observers detect the acceleration radiation can then be studied on a sound basis.