论文标题
重力校正对电动真空衰减：公制与Palatini
Gravitational corrections to electroweak vacuum decay: metric vs. Palatini
论文作者
论文摘要
我们考虑了标准的爱因斯坦 - 希尔伯特·希格斯（Einstein-Hilbert-Higgs）动作，其中希格斯（Higgs）野外通过$ξh^2 \ mathcal {r} $非微小的重力夫妻夫妻，并研究了电值和palatini gravity的重力校正，并研究了电动真空的稳定性。为了在分析上确定两种形式主义之间的差异，我们遵循一种扰动方法，在该方法中，通过重力耦合常数的领先顺序扩展来考虑重力校正。我们的分析表明，在Palatini形式主义中，与度量案例相比，抑制真空衰减概率的重力的众所周知的效果变得更加温和，因为非微耦合$ξ$的任何值的度量案例。此外，我们发现在Palatini形式主义中，重力校正的积极性，这是该理论单位性的必要条件，需要下限$ξ> -1/12 $。
We consider the standard Einstein-Hilbert-Higgs action where the Higgs field couples nonminimally with gravity via the term $ξh^2 \mathcal{R}$, and investigate the stability of the electroweak vacuum in the presence of gravitational corrections in both the metric and Palatini formulations of gravity. In order to identify the differences between the two formalisms analytically, we follow a perturbative approach in which the gravitational corrections are taken into consideration via a leading order expansion in the gravitational coupling constant. Our analysis shows that in the Palatini formalism, the well-known effect of gravity suppressing the vacuum decay probability, becomes milder in comparison with the metric case for any value of the nonminimal coupling $ξ$. Furthermore, we have found that in the Palatini formalism, the positivity of the gravitational corrections, which is a necessary requirement for the unitarity of the theory, entails the lower bound $ξ>-1/12$.
