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2016

Flow equation for the large $N$ scalar model and induced geometries

Aoki, Sinya, Balog, Janos, Onogi, Tetsuya et al.

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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($N$) $\varphi^4$ 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 ultra-violet (UV) and infra-red (IR) limits of the flow direction, where the radius of the AdS is bigger in the IR than in the UV.

Flow equation for the large $N$ scalar model and induced geometries · Around

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Then

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2015
Later among the works it cites.
S. Aoki, K. Kikuchi and T. Onogi, JHEP 1504
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2015
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C. Monahan and K. Orginos, Phys. Rev. D 91
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K. Fujikawa, JHEP 1603
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