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Phases and fractal structures of three-dimensional simplicial gravity
https://ir.soken.ac.jp/records/3346
https://ir.soken.ac.jp/records/3346a035455b-315b-451f-9c5f-36aeb3a87a50
| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2013-01-25 | |||||
| タイトル | ||||||
| タイトル | Phases and fractal structures of three-dimensional simplicial gravity | |||||
| タイトル | ||||||
| タイトル | Phases and fractal structures of three-dimensional simplicial gravity | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| アクセス権 | ||||||
| アクセス権 | metadata only access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
| 著者 |
HAGURA, Hiroyuki
× HAGURA, Hiroyuki× TSUDA, Noritsugu× YUKAWA, Tetsuyuki |
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| 著者別名 |
湯川, 哲之
× 湯川, 哲之 |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study phases and fractal structures of three-dimensional simplicial quantum gravity by a Monte Carlo calculation with a lattice size V=104. After measuring the surface area distribution (SAD) which is the three-dimensional analog of the loop length distribution (LLD) in two-dimensional quantum gravity, we classify the fractal structures into three types: (i) In the strong coupling (hot) phase, strong gravity makes the space-time one crumpled mother universe with many fluctuating baby universes of small size around it. This is a crumpled phase with a large Hausdorff dimension dH=4.98±0.05. The topologies of the sections are extremely complicated. (ii) At the critical point, we observe that the space-time is a pseudo-fractal manifold which has one mother universe with many baby universes of small and middle size around it. The Hausdorff dimension dH is 3.93±0.05. We observe some scaling behaviors for the sections of the manifold. This manifold resembles the fractal surface observed in two-dimensional quantum gravity. (iii) In the weak coupling (cold) phase, the mother universe disappears completely and the space-time seems to be a branched-polymer with a small Hausdorff dimension dH=1.948±0.003. almost all of the sections have the spherical topology S2 in the weak coupling phase. | |||||
| 書誌情報 |
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics en : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 巻 418, 号 3-4, p. 273-283, 発行日 1998-02-05 |
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| 出版者 | ||||||
| 出版者 | Elsevier | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 03702693 | |||||
| DOI | ||||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1016/S0370-2693(97)01320-8 | |||||
| 関連名称 | 10.1016/S0370-2693(97)01320-8 | |||||
| 権利 | ||||||
| 権利情報 | © 1998 Elsevier Science B.V. | |||||
