共形BSM中芯转动的Higgs势
Higgs Potential from Wick Rotation in Conformal BSM
摘要：
众所周知，为了使广义相对论的路径积分收敛，除了我们更熟悉的时间轴的威克旋转外，还必须对共形因子进行威克旋转，以传递到具有欧几里得签名的时空。在这篇文章中，我们将把这种技术应用于共形不变标量张量引力和共形不变超标准模型（BSM）中的标量场。结果表明，与标准模型的Higgs势中的Higgs质量项相对应的共形不变势中的势项可以有一个负系数.势项符号的变化自然地引起共形对称性（局域标度对称性）对称破缺后的电弱规范对称性的自发对称性破缺。本文的研究可能揭示这样一个事实，即量子引力中稳定真空的存在与SM中稳定真空的存在是相关的。
英文摘要：
It is well known that in order to make the path integral of general relativity converge, one has to perform the Wick rotation over the conformal factor in addition to the more familiar Wick rotation of the time axis to pass to the space-time with Euclidean signature. In this article, we will apply this technique to a scalar field in the conformally invariant scalar-tensor gravity with a conformally invariant beyond-standard-model (BSM). It is then shown that a potential term in the conformally invariant potential, which corresponds to the Higgs mass term in the Higgs potential of the standard model (SM), can have a negative coefficient. The change of sign of the potential term naturally induces spontaneous symmetry breakdown of the electroweak gauge symmetry after symmetry breaking of conformal symmetry (local scale symmetry) via the Coleman-Weinberg mechanism around the Planck scale. The present study might shed light on the fact that the existence of a stable vacuum in quantum gravity is relevant to that in the SM.
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