Premium
Holographic RG flows for gravitational couplings
Author(s) -
Rachwał L.,
Percacci R.
Publication year - 2014
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201400027
Subject(s) - physics , scalar (mathematics) , gravitation , scalar field , spacetime , cutoff , renormalization group , scalar field theory , asymptotic safety in quantum gravity , coupling constant , gravitational constant , renormalization , functional renormalization group , classical mechanics , theoretical physics , flow (mathematics) , holography , quantum gravity , mathematical physics , quantum , quantum mechanics , mechanics , geometry , mathematics
We present the first attempt to find the holographic interpretation of running of the Newton's constant in 4‐dimensional quantum theory. We compute its scale‐dependence using functional renormalization group methods based on a Wilsonian momentum cutoff. We show the details of the corresponding holographic RG flow in 5‐dimensional spacetime with minimally coupled scalar field in the bulk. In this domain wall setup the scalar potential is found. Solutions of this theory describe RG flows of gravitational coupling with the IR threshold phenomena fully taken into account.