论文标题
希格斯通货膨胀的Weyl重力扩展
On the Weyl gravity extension of Higgs inflation
论文作者
论文摘要
我们考虑将希格斯通货膨胀的嵌入与非最小耦合到Weyl重力中的嵌入。在此模型中，来自重型Weyl仪表场的有效电流相互作用取消了爱因斯坦框架中非典型的希格斯动力学项，因此原始希格斯通货膨胀的单位性问题变得不那么严重。对于一个简单的情况，重量韦伊尔仪场的耦合从非最小耦合到韦尔重力中的RICCI曲率标量出现，我们发现希格斯膨胀的结果模型与HIGGS膨胀的Palatini公式中相同。我们的模型与希格斯通货膨胀的palatini公式的关键差异在于，有一个轻度的Weyl仪表磁场耦合到Higgs场。我们还概括了Higgs通胀的单位化，并用一般的协变量动力学术语和Higgs领域的一般协变量术语，并实现了成功的Higgs通货膨胀，在Higgs膨胀的palatini配方之间进行了插值和HIGGS样膨胀。我们还讨论了带有额外单线标量的光线仪场的HIGGS机制，并显示了一些有关Higgs物理学的有趣特征，例如Higgs耦合的总体抑制以及光weyl仪表磁场的直接耦合到Higgs玻色子。
We consider the embedding of Higgs inflation with a non-minimal coupling into the Weyl gravity. In this model, the effective current-current interactions from the heavy Weyl gauge field cancel the non-canonical Higgs kinetic term in Einstein frame, so the unitarity problem of the original Higgs inflation becomes less severe. For a simple case where the couplings of the heavy Weyl gauge field appears from the non-minimal couplings to the Ricci curvature scalar in Weyl gravity, we find that the resultant model for Higgs inflation is the same as in the Palatini formulation for Higgs inflation. The crucial difference of our model from the Palatini formulation for Higgs inflation is that there is a light Weyl gauge field coupled to the Higgs fields. We also generalize the unitarization of Higgs inflation with general covariant kinetic terms for the dilaton and the Higgs fields, and realize a successful Higgs inflation, interpolating between the Palatini formulation for Higgs inflation and a Higgs-like inflation. We also discuss the Higgs mechanism for the light Weyl gauge field with an extra singlet scalar and show some interesting signatures for Higgs physics, such as the overall suppression of Higgs couplings and the direct couplings of the light Weyl gauge field to the Higgs boson.
