### 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) ℘4 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.

Original language | English |
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Article number | 083B04 |

Journal | Progress of Theoretical and Experimental Physics |

Volume | 2016 |

Issue number | 8 |

DOIs | |

Publication status | Published - Aug 1 2016 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical and Experimental Physics*,

*2016*(8), [083B04]. https://doi.org/10.1093/ptep/ptw106

**Flow equation for the large N scalar model and induced geometries.** / Aoki, Sinya; Balog, J.; Onogi, Tetsuya; Weisz, Peter.

Research output: Contribution to journal › Article

*Progress of Theoretical and Experimental Physics*, vol. 2016, no. 8, 083B04. https://doi.org/10.1093/ptep/ptw106

}

TY - JOUR

T1 - Flow equation for the large N scalar model and induced geometries

AU - Aoki, Sinya

AU - Balog, J.

AU - Onogi, Tetsuya

AU - Weisz, Peter

PY - 2016/8/1

Y1 - 2016/8/1

N2 - 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) ℘4 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.

AB - 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) ℘4 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.

UR - http://www.scopus.com/inward/record.url?scp=84997269779&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84997269779&partnerID=8YFLogxK

U2 - 10.1093/ptep/ptw106

DO - 10.1093/ptep/ptw106

M3 - Article

AN - SCOPUS:84997269779

VL - 2016

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

SN - 2050-3911

IS - 8

M1 - 083B04

ER -