# Dark Sectors of Astroparticle Physics (AstroDark-2021): Axions, Neutrinos, Black Holes and Gravitational Waves

7-10 December 2021
Online
Asia/Tokyo timezone

## Holographic $¥beta$ function in de Sitter space

7 Dec 2021, 08:20
30m
Online

#### Online

Details are notified to registrants.
Poster

### Speaker

Yoshihisa Kitazawa (KEK Theory Center)

### Description

We investigate the resummation of infrared logarithms in inflationary Universe from holographic perspective. By the renormalization group, we derive gravitational Fokker-Planck and Langevin equations as the effective theory at the Horizon scale. We 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. As for the curvature perturbation , it is shown to be consistent with our result through $¥delta N$ formalism. We obtain the dynamical $¥beta$ function of $g=1/S$ under the Gaussian approximation. 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 near the Planck scale with $¥epsilon=0$. We claim inflationary Universes subsequently dominate as the solutions of stochastic equations to maximize the entropy. This is a strong evidence for non-perturbative de Sitter duality between the classical slow roll inflaton and quantum stochastic effects around the Horizon.

### Primary author

Yoshihisa Kitazawa (KEK Theory Center)