Planck scale from broken local conformal invariance in Weyl geometry
Planck scale from broken local conformal invariance in Weyl geometry
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外尔几何中破坏的局部共形不变性的普朗克尺度
DOI：
10.12988/astp.2020.91245
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
I. Oda
中科院分区：
文献类型：
--
作者：
I. Oda
我们证明了在基于Weyl共形几何的二次引力中，普朗克质量标度可以由引力场和Weyl规范场的量子效应通过局部标度对称性被破缺的Coleman-Weinberg机制产生.与此同时，外尔规范场通过吸收标量引力子而获得小于普朗克质量的质量。由于引力特性和高度对称性，有效势的形状几乎是平坦的，因此我们的模型将为暴胀宇宙提供一个有吸引力的模型。我们还提出了一个玩具模型，展示了从约旦框架到爱因斯坦框架的全球尺度对称性的自发对称性破裂，并指出了它的问题。
We show that in a quadratic gravity based on Weyl's conformal geometry, the Planck mass scale can be generated from quantum effects of the gravitational field and the Weyl gauge field via the Coleman-Weinberg mechanism where a local scale symmetry is broken. At the same time, the Weyl gauge field acquires a mass less than the Planck mass by absorbing the scalar graviton. The shape of the effective potential is almost flat owing to a gravitational character and high symmetries, so our model would provide for an attractive model for the inflationary universe. We also present a toy model showing spontaneous symmetry breakdown of a global scale symmetry by moving from the Jordan frame to the Einstein one, and point out its problems.