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arXiv 1609.00723hep-thgr-qc
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超光、黑洞与有效场论

Superluminality, Black Holes and Effective Field Theory

Garrett Goon, Kurt Hinterbichler

摘要:

在紫外理论不显示超光速行为的假设下,我们问在有效场论(EFT)中满足什么样的超光速约束。我们研究了两个有效理论的例子:量子电动力学(QED)耦合到重力后,电子是集成了,和平坦的空间伽利略。第一个是在自然界中实现的,第二个是更投机的,但他们都表现出明显的超光周围的非平凡的背景。在量子电动力学的情况下,我们试图,并失败,找到背景的超光速信号的进步,可以大于假定的EFT的分辨率。相比之下,在伽利略的情况下,很容易找到这样的背景,这表明,如果伽利略的UV完成是(亚)腔,量子校正必须成为重要的距离尺度的顺序Vainshtein半径的背景配置,远远大于天真的EFT强耦合距离尺度。这样的修正会让人想起非微扰史瓦西尺度的量子效应,这种效应有望解决黑洞的信息问题。最后,我们分析的副产品是计算微扰量子效应如何改变带电的Reissner-Nordstrom黑洞。

英文摘要:

Under the assumption that a UV theory does not display superluminal behavior, we ask what constraints on superluminality are satisfied in the effective field theory (EFT). We study two examples of effective theories: quantum electrodynamics (QED) coupled to gravity after the electron is integrated out, and the flat-space galileon. The first is realized in nature, the second is more speculative, but they both exhibit apparent superluminality around non-trivial backgrounds. In the QED case, we attempt, and fail, to find backgrounds for which the superluminal signal advance can be made larger than the putative resolving power of the EFT. In contrast, in the galileon case it is easy to find such backgrounds, indicating that if the UV completion of the galileon is (sub)luminal, quantum corrections must become important at distance scales of order the Vainshtein radius of the background configuration, much larger than the naive EFT strong coupling distance scale. Such corrections would be reminiscent of the non-perturbative Schwarzschild scale quantum effects that are expected to resolve the black hole information problem. Finally, a byproduct of our analysis is a calculation of how perturbative quantum effects alter charged Reissner-Nordstrom black holes.

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