论文标题
瓦尔几何形状中局部保形不变性的普朗克量表
Planck scale from broken local conformal invariance in Weyl geometry
论文作者
论文摘要
我们表明，在基于Weyl保形的几何形状的二次重力中，可以通过Coleman-Weinberg机制从重力场的量子效应和Weyl仪表场产生Planck质量量表，其中局部规模的对称性被损坏。同时，通过吸收标量重力，Weyl量规场获得的质量小于Planck质量。由于引力特征和高对称性，有效电位的形状几乎是平坦的，因此我们的模型将为通货膨胀宇宙提供有吸引力的模型。我们还提出了一个玩具模型，显示了从约旦框架到爱因斯坦一号，并指出其问题，显示了全球尺度对称性的自发对称性对称性。
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.
