论文标题
量子重力的高阶校正通货膨胀扰动光谱
High-order corrections to inflationary perturbation spectra in quantum gravity
论文作者
论文摘要
我们计算通货膨胀的扰动光谱和数量$ r+8n_ {t} $，以纯虚拟颗粒的量子重力中的近代到领先的日志订单（这意味着$ r+r+r^{2}+c^{2} $，带有$ c^{2} $的伪造penfercription/投资/投资。光谱是通货膨胀运行耦合$α（1/k）$的函数，并满足宇宙重新归一化的组流程方程，这些方程决定了倾斜和运行系数。张量波动以$α\ sim 1/115 $的每个顺序以spin-2伪造$χ_{μν} $的贡献获得贡献。另一方面，标量频谱对$χ_{μNν} $ MASS $ M_ {χ} $的依赖性从$α^{2} $校正开始，它们以比例$ $ $ m_ {ϕ}/m_ {χ} $的比例扰动地处理。这些预测的理论错误范围从$α^{4} \ sim 10^{ - 8} $到$α^{3} \ sim 10^{ - 6} $。解决了有关假件预测在更高命令下的非平凡问题。
We compute the inflationary perturbation spectra and the quantity $r+8n_{T}$ to the next-to-next-to-leading log order in quantum gravity with purely virtual particles (which means the theory $R+R^{2}+C^{2}$ with the fakeon prescription/projection for $C^{2}$). The spectra are functions of the inflationary running coupling $α(1/k)$ and satisfy the cosmic renormalization-group flow equations, which determine the tilts and the running coefficients. The tensor fluctuations receive contributions from the spin-2 fakeon $χ_{μν}$ at every order of the expansion in powers of $α\sim 1/115$. The dependence of the scalar spectrum on the $χ_{μν}$ mass $m_{χ}$, on the other hand, starts from the $α^{2}$ corrections, which are handled perturbatively in the ratio $m_{ϕ}/m_{χ}$, where $m_{ϕ}$ is the inflaton mass. The predictions have theoretical errors ranging from $α^{4}\sim 10^{-8}$ to $α^{3}\sim 10^{-6}$. Nontrivial issues concerning the fakeon projection at higher orders are addressed.
