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SUMMARY:Holographic $¥beta$ function in de Sitter space
DTSTART;VALUE=DATE-TIME:20211206T232000Z
DTEND;VALUE=DATE-TIME:20211206T235000Z
DTSTAMP;VALUE=DATE-TIME:20240720T085416Z
UID:indico-contribution-6467@indico.ipmu.jp
DESCRIPTION:Speakers: Yoshihisa Kitazawa (KEK Theory Center)\nWe investiga
te the resummation of infrared logarithms in inflationary Universe from ho
lographic perspective. By the renormalization group\, we derive gravitatio
nal Fokker-Planck and Langevin equations as the effective theory at the Ho
rizon 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 perturbatio
n \, it is shown to be consistent with our result through $¥delta N$ form
alism. We obtain the dynamical $¥beta$ function of $g=1/S$ under the Gaus
sian approximation. The dimensionless gravitational coupling $g$ is asympt
otically free toward the future. It also possesses the ultraviolet fixed p
oint indicating that the Universe begun with the de Sitter expansion near
the Planck scale with $¥epsilon=0$. We claim inflationary Universes subse
quently 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 ar
ound the Horizon.\n\nhttps://indico.ipmu.jp/event/397/contributions/6467/
LOCATION:Online
URL:https://indico.ipmu.jp/event/397/contributions/6467/
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