论文标题
重力和宇宙学中的尺寸trans变
Dimensional Transmutation in Gravity and Cosmology
论文作者
论文摘要
我们回顾（并扩展）对所有相互作用（包括重力）的一般理论的分析，其中质量尺度是由于尺寸trans变引起的。量子一致性需要在行动中具有四个指标衍生物的术语。然而，它表明了如何实现统一，并且可以避免经典的Ostrogradsky不稳定性。四个衍生术语还使我们能够在希格斯质量和普朗克量表之间具有紫外线完整的框架和天然小比例。此外，爱因斯坦重力的黑色孔比某个（微观）量表小于某个（微观）量表的地平线被无地平线的超级反理对象所取代，这些物体没有任何奇异性，并且具有有趣的现象学应用。我们还讨论了可以与微波背景辐射各向异性观察结果进行比较的预测，并发现此情况是可行的，可以通过未来的数据进行测试。最后，审查和解释如何在具有近似尺度对称性的这种类型的模型中出现强相转换以及如何使用GW探测器测试它们。
We review (and extend) the analysis of general theories of all interactions (gravity included) where the mass scales are due to dimensional transmutation. Quantum consistency requires the presence of terms in the action with four derivatives of the metric. It is shown, nevertheless, how unitary is achieved and the classical Ostrogradsky instabilities can be avoided. The four-derivative terms also allow us to have a UV complete framework and a naturally small ratio between the Higgs mass and the Planck scale. Moreover, black holes of Einstein gravity with horizons smaller than a certain (microscopic) scale are replaced by horizonless ultracompact objects that are free from any singularity and have interesting phenomenological applications. We also discuss the predictions that can be compared with observations of the microwave background radiation anisotropies and find that this scenario is viable and can be tested with future data. Finally, how strong phase transitions can emerge in models of this type with approximate scale symmetry and how to test them with GW detectors is reviewed and explained.
