论文标题
膨胀和原始重力波与希格斯的规模不变二次重力
Inflation and primordial gravitational waves in scale-invariant quadratic gravity with Higgs
论文作者
论文摘要
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性破坏产生的。在这项工作中，我们研究了尺度不变的二次重力的通胀，其中普朗克质量是通过标量场经典产生的，标量场从不稳定的固定点演变为稳定的固定点，从而破坏了尺度的变异性。我们通过动态系统标准技术研究动力学。通过计算光谱索引并将其与数据进行比较，我们对理论的三个无量纲参数进行了一些约束。我们表明，参数空间的某些区域将在CMB-S4，Litebird和STPol等未来CMB任务范围内。本文的后半部分致力于分析通货膨胀的一阶张量扰动和重力波的功率谱的计算。我们评论结果，并将其与混合的Starobinsky-Higgs通货膨胀进行比较。
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.
