论文标题

Schwinger对生产和扩展的不确定性原则:可以信任启发式推导吗?

Schwinger Pair Production and the Extended Uncertainty Principle: Can Heuristic Derivations Be Trusted?

论文作者

Ong, Yen Chin

论文摘要

由于外部电场而引起的雪松对生产速率可以从不确定性原理中得出。在存在宇宙常数的情况下,在文献中已经争辩说,不确定性原理由于背景曲率而受到校正,这被称为“扩展的不确定性原理”(EUP)。我们表明,EUP确实确实导致了抗DE保姆时空中Schwinger对生产率的正确结果(De Sitter SpaceTime的情况相似),前提是EUP校正项为负(对于De Sitter案例为阳性)。我们将结果与EUP文献中的先前作品进行了比较,这些结果并非一致。我们的结果进一步凸显了不确定性原则概括的文献中的一个重要问题:可以信任多少启发式推导?

The rate of Schwinger pair production due to an external electric field can be derived heuristically from the uncertainty principle. In the presence of a cosmological constant, it has been argued in the literature that the uncertainty principle receives a correction due to the background curvature, which is known as the "extended uncertainty principle" (EUP). We show that EUP does indeed lead to the correct result for Schwinger pair production rate in anti-de Sitter spacetime (the case for de Sitter spacetime is similar), provided that the EUP correction term is negative (positive for the de Sitter case). We compare the results with previous works in the EUP literature, which are not all consistent. Our result further highlights an important issue in the literature of generalizations of the uncertainty principle: how much can heuristic derivations be trusted?

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