标题： 具有希格斯场的尺度不变二次引力中的通胀与原初引力波 显示英文标题

标题： Inflation and primordial gravitational waves in scale-invariant quadratic gravity with Higgs

摘要： 在基本物理的标度不变模型中，所有质量尺度都是通过自发对称破缺产生的。 在这项工作中，我们研究了标度不变二次引力中的膨胀现象，其中普朗克质量是由一个标量场经典生成的，该标量场从一个不稳定不动点演化到一个稳定不动点从而打破标度不变性。 我们利用动力系统标准技术来研究动力学。 通过计算光谱指数并与数据进行比较，我们对理论的三个无量纲参数施加了一些限制。 我们表明，参数空间的某些区域将处于未来CMB任务（如CMB-S4、LiteBIRD和STPol）的范围内。 论文的后半部分专门分析了膨胀的一阶张量扰动以及引力波功率谱的计算。 我们对结果进行了评论，并将其与混合Starobinsky-Higgs膨胀的结果进行了比较。 显示英文摘要

摘要： In scale-invariant models of fundamental physics all mass scales are generated via spontaneous symmetry breaking. In this work, we study inflation in scale-invariant quadratic gravity, in which the Planck mass is generated classically by a scalar field, which evolves from an unstable fixed point to a stable one thus breaking scale-invariance. We investigate the dynamics by means of dynamical system standard techniques. By computing the spectral indices and comparing them with data, we put some constraints on the three dimensionless parameters of the theory. We show that certain regions of the parameter space will be within the range of future CMB missions like CMB-S4, LiteBIRD and STPol. The second half of the paper is dedicated to the analysis of inflationary first-order tensor perturbations and the calculation of the power spectrum of the gravitational waves. We comment on our results and compare them with the ones of mixed Starobinsky-Higgs inflation.