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Title: Flow equation for the large N scalar model and induced geometries
Authors: Aoki, Sinya
Balog, Janos
Onogi, Tetsuya
Weisz, Peter
Author's alias: 青木, 愼也
Keywords: B30 General
B32 Renormalization and renormalization group equation
B35 Solitons, monopoles and instantons, 1/N expansion
B37 Various models of field theory
Issue Date: Aug-2016
Publisher: Oxford University Press (OUP)
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2016
Issue: 8
Thesis number: 083B04
Abstract: We study the proposal that a (d+1)-dimensional induced metric is constructed from a d-dimensional field theory using gradient flow. Applying the idea to the O(N) ϕ4 model and normalizing the flow field, we have shown in the large N limit that the induced metric is finite and universal in the sense that it does not depend on the details of the flow equation and the original field theory except for the renormalized mass, which is the only relevant quantity in this limit. We have found that the induced metric describes Euclidean anti-de Sitter (AdS) space in both ultraviolet (UV) and infrared (IR) limits of the flow direction, where the radius of the AdS is bigger in the IR than in the UV.
Rights: © The Author(s) 2016. Published by Oxford University Press on behalf of the Physical Society of Japan.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
DOI(Published Version): 10.1093/ptep/ptw106
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