arXiv 2010.047392020-10hep-thastro-ph.COgr-qc

量子引力中暴胀微扰谱的高阶修正

High-order corrections to inflationary perturbation spectra in quantum gravity

Damiano Anselmi

备注：: 28 pages; JCAP
发表信息：: J. Cosmol. Astropart. Phys. 02 (2021) 029
DOI：: 10.1088/1475-7516/2021/02/029

摘要：

我们在纯虚粒子的量子引力中计算了暴胀微扰谱和次-次-领先对数级的量$r+8n_{T}$（这意味着理论$R+R^{2}+C^{2}$与$C^{2}$的假子处方/投影）。光谱是暴胀运行耦合$α(1/k)$的函数，满足宇宙重整化群流方程，它决定了倾斜和运行系数。张量涨落在$α\sim 1/115$幂的每一阶膨胀中都得到自旋为2的假子$χ_{μν}$的贡献。另一方面，标量谱对$χ_{μν}$质量$m_{χ}$的依赖性从$α^{2}$修正开始，该修正以比率$m_{ϕ}/m_{χ}$微扰处理，其中$m_{ϕ}$是暴胀子质量。预测的理论误差范围从$α^{4}\sim 10^{-8}$到$α^{3}\sim 10^{-6}$。在更高的订单有关的fakeon投影的重要问题得到解决。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文