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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| ptep_ptw106.pdf | 256.32 kB | Adobe PDF | 見る/開く |
| タイトル: | Flow equation for the large N scalar model and induced geometries |
| 著者: | Aoki, Sinya Balog, Janos Onogi, Tetsuya Weisz, Peter |
| 著者名の別形: | 青木, 愼也 |
| キーワード: | B30 General B32 Renormalization and renormalization group equation B35 Solitons, monopoles and instantons, 1/N expansion B37 Various models of field theory |
| 発行日: | Aug-2016 |
| 出版者: | Oxford University Press (OUP) |
| 誌名: | Progress of Theoretical and Experimental Physics |
| 巻: | 2016 |
| 号: | 8 |
| 論文番号: | 083B04 |
| 抄録: | 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. |
| 著作権等: | © 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 (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. |
| URI: | http://hdl.handle.net/2433/227522 |
| DOI(出版社版): | 10.1093/ptep/ptw106 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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