Planck and electroweak scales emerging from conformal gravity
Planck and electroweak scales emerging from conformal gravity
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DOI：
10.1140/epjc/s10052-018-6289-8
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发表时间：
2018-06
期刊：
影响因子：
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通讯作者：
I. Oda
中科院分区：
文献类型：
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作者：
I. Oda
我们证明了普朗克质量尺度和电弱质量尺度都可以通过量纲嬗变的Coleman-Weinberg机制由共形重力产生。第一步，普朗克尺度是通过共形引力扇区的Coleman-Weinberg机制产生的，这意味着与引力子相关的辐射修正会导致局部共形对称性的自发对称性破坏。第二步，标量场的真空期望值通过一个涉及共形不变部分和Coleman-Weinberg机制贡献的势传递到标准模型扇区，从而产生电弱标度。两个尺度之间的巨大层次可以用标量和希格斯场之间一个非常微小的耦合常数来解释。
We show that both the Planck and electroweak mass scales can be generated from conformal gravity via the Coleman–Weinberg mechanism of dimensional transmutation. At the first step, the Planck scale is generated via the Coleman–Weinberg mechanism in the sector of conformal gravity, which means that radiative corrections associated with gravitons induce spontaneous symmetry breakdown of a local conformal symmetry. At the second step, the vacuum expectation value of a scalar field is transmitted to the sector of the standard model via a potential involving the conformally invariant part and the contribution from the Coleman–Weinberg mechanism, thereby generating the electroweak scale. The huge hierarchy between the two scales can be explained in terms of a very tiny coupling constant between the scalar and the Higgs field in a consistent way.