Speaker
Description
We investigate infrared logarithms in inflationary Universe from holographic perspective. We derive gravitational Fokker-Planck and Langevin equations to investigate the time evolution of the de Sitter entropy $S=\pi/G_N H^2(t)$. $H(t)$ is the time dependent effective Hubble parameter and $G_N$ is the Newton's constant. Our approach focuses on the conformal modes to respect local Lorentz symmetry. In term of the curvature perturbations , it is shown to be consistent with $\delta N$ formalism. Under the Gaussian approximation, we obtain the dynamical $\beta$ function of $g=1/S$. The dimensionless gravitational coupling $g$ is asymptotically free toward the future. It also possesses the ultraviolet fixed point indicating that the Universe begun with the de Sitter expansion at the Planck scale with $\epsilon=0$. We further interpret inflationary Universes as the UV complete composite states. Since our analysis is trustable for small $g$, our conclusion is that inflationary universe is consistent in the semiclassical regime.
