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  1. 010 学術雑誌論文
  2. 湯川, 哲之 / YUKAWA, Tetsuyuki

Phases and fractal structures of three-dimensional simplicial gravity

https://ir.soken.ac.jp/records/3346
https://ir.soken.ac.jp/records/3346
a035455b-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

HAGURA, Hiroyuki

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TSUDA, Noritsugu

× TSUDA, Noritsugu

TSUDA, Noritsugu

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YUKAWA, Tetsuyuki

× YUKAWA, Tetsuyuki

YUKAWA, Tetsuyuki

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著者別名 湯川, 哲之

× 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
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.
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