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arXiv 0810.5333hep-thgr-qchep-phquant-ph
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量子引力修正的普适性

Universality of Quantum Gravity Corrections

Saurya Das, Elias C. Vagenas

摘要:

我们证明了最小可测长度的存在性和相关的广义不确定原理(GUP),预测的量子引力,影响所有的量子哈密顿量。因此,他们预测了各种量子现象的量子引力修正。在扫描隧道显微镜(STM)中计算了兰姆位移、朗道能级和隧道电流的修正。我们表明,这些修正可以用两种方式来解释:(a)要么,他们是非常小的,超出了目前的实验,或(b),他们预测的量子引力参数的上限在GUP,兼容的实验在电弱尺度。因此,未来更精确的测量应该能够测试这些预测,或者进一步收紧上述范围并预测一个介于电弱和普朗克尺度之间的中间长度尺度。

英文摘要:

We show that the existence of a minimum measurable length and the related Generalized Uncertainty Principle (GUP), predicted by theories of Quantum Gravity, influence all quantum Hamiltonians. Thus, they predict quantum gravity corrections to various quantum phenomena. We compute such corrections to the Lamb Shift, the Landau levels and the tunnelling current in a Scanning Tunnelling Microscope (STM). We show that these corrections can be interpreted in two ways: (a) either that they are exceedingly small, beyond the reach of current experiments, or (b) that they predict upper bounds on the quantum gravity parameter in the GUP, compatible with experiments at the electroweak scale. Thus, more accurate measurements in the future should either be able to test these predictions, or further tighten the above bounds and predict an intermediate length scale, between the electroweak and the Planck scale.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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