论文标题
爱因斯坦 - 卡丹重力的希格斯通货膨胀
Higgs inflation in Einstein-Cartan gravity
论文作者
论文摘要
我们研究了爱因斯坦 - 卡丹公式的重力公式中希格斯场驱动的通货膨胀。在这一理论中，HOLST和NIEH-YAN与Higgs字段的存在非最少耦合导致了三个附加的耦合常数。对于广泛的参数，我们发现通货膨胀是可能的，并且与观察结果一致。在大多数情况下，频谱索引由$ n_s = 1-2/n_ \ star $（带有$ n_ \ star $ e折叠数）给出，而张量与量表的比例$ r $可能在$ 10^{ - 10} $和$ 1 $之间变化。因此，在爱因斯坦 - 卡丹框架中，希格斯通货膨胀的情况在不久的将来可能会从通货膨胀中检测到引力波。在某些范围内，重现了重力公制和帕拉蒂尼公式中的希格斯膨胀模型。最后，我们讨论了由于标量和费米亚场引起的通货膨胀动力学对量子校正的鲁棒性。
We study inflation driven by the Higgs field in the Einstein-Cartan formulation of gravity. In this theory, the presence of the Holst and Nieh-Yan terms with the Higgs field non-minimally coupled to them leads to three additional coupling constants. For a broad range of parameters, we find that inflation is both possible and consistent with observations. In most cases, the spectral index is given by $n_s=1-2/N_\star$ (with $N_\star$ the number of e-foldings) whereas the tensor-to-scalar ratio $r$ can vary between about $10^{-10}$ and $1$. Thus, there are scenarios of Higgs inflation in the Einstein-Cartan framework for which the detection of gravitational waves from inflation is possible in the near future. In certain limits, the known models of Higgs inflation in the metric and Palatini formulations of gravity are reproduced. Finally, we discuss the robustness of inflationary dynamics against quantum corrections due to the scalar and fermion fields.
