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Emergent geometry from field theory: Wilson's renormalization group revisited SCIE SCOPUS

Title
Emergent geometry from field theory: Wilson's renormalization group revisited
Authors
Kim, Ki-SeokPark, Chanyong
Date Issued
2016-06-21
Publisher
AMERICAN PHYSICAL SOCIETY
Abstract
We find a geometrical description from a field theoretical setup based on Wilson's renormalization group in real space. We show that renormalization group equations of coupling parameters encode the metric structure of an emergent curved space, regarded to be an Einstein equation for the emergent gravity. Self-consistent equations of local order-parameter fields with an emergent metric turn out to describe low-energy dynamics of a strongly coupled field theory, analogous to the Maxwell equation of the Einstein-Maxwell theory in the AdS(d+2)/CFTd+1 duality conjecture. We claim that the AdS(3)/CFT2 duality may be interpreted as Landau-Ginzburg theory combined with Wilson's renormalization group, which introduces vertex corrections into the Landau-Ginzburg theory in the large-N-s limit, where N-s is the number of fermion flavors.
URI
https://oasis.postech.ac.kr/handle/2014.oak/37974
DOI
10.1103/PHYSREVD.93.121702
ISSN
2470-0010
Article Type
Article
Citation
PHYSICAL REVIEW D, vol. 93, no. 12, page. 121702, 2016-06-21
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