论文标题
全息$β$在Sitter空间中起作用
Holographic $β$ function in de Sitter space
论文作者
论文摘要
我们从全息视角研究了位于保姆空间中的红外对数。我们采用引力福克 - 普朗克方程来研究de de de de熵的时间演变$ s =π/（g_n h^2）$，其中$ h $是哈勃参数，而$ g_n $是牛顿常数。在高斯近似值下，我们获得了$ g = 1/s $的动态$β$函数。它渐近地自由地对未来。它还具有紫外线的固定点，表明宇宙以普朗克量表开始了de Sitter的扩展。充气前时代的存在是为通货膨胀时代的特殊初始条件作为量子残留。
We investigate infrared logarithms in de Sitter space from holographic perspective. We employ a gravitational Fokker-Planck equation to investigate the time evolution of the de Sitter entropy $S=π/(G_N H^2)$, where $H$ is the Hubble parameter and $G_N$ is the Newton's constant. Under the Gaussian approximation, we obtain the dynamical $β$ function of $g=1/S$. It is asymptotically free toward the future. It also possesses the ultraviolet fixed point indicating that the Universe started the de Sitter expansion at the Planck scale. The pre-inflation era exists to prepare a special initial condition for the inflation era as a quantum remnant.
