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Study of the holographic structure of relativistic nonequilibrium systems via renormalization group methods towards the construction of quantum gravity

Research Project

Project/Area Number 23540304
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKyoto University

Principal Investigator

Fukuma Masafumi  京都大学, 理学研究科, 准教授 (10252529)

Project Period (FY) 2011-04-28 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords量子重力 / 超弦理論 / 非平衡統計熱力学 / ホログラフィー原理 / 膜の量子論 / マルコフ鎖モンテカルロ / 符号問題 / Lefschetz thimble / ランダム体積 / 行列模型 / 非平衡熱力学 / エントロピー / ブラックホール / モンテカルロ / M理論 / 非平衡熱統計力学 / 曲がった時空上の場の量子論 / エンタングルメント・エントロピー / 量子情報 / AdS/CFT対応 / Unruh-DeWitt測定器 / 量子重力理論 / 粘弾性体 / 局所熱平衡 / Unruh測定器
Outline of Final Research Achievements

The thermodynamic and holographic nature of gravity should be a clue to identifying the fundamental dynamical variables of quantum gravity. In order to explain such nature, we regarded the dynamics of gravity as a relativistic nonequilibrium relaxation process, and investigated nonequilibrium statistical thermodynamics from various aspects. In particular, we successfully constructed "thermodynamics of shape" in a generally covariant way and developed quantum field theories on curved spacetimes. Also, as a constructive definition of quantum gravity based on membrane dynamics, we advocated a novel matrix model that generates the random volumes of membranes. Furthermore, we introduced the distance between configurations in Markov chain Monte Carlo simulations, which generate relaxation processes in a computer. This is the first example of the emergence of geometry from nonequilibrium relaxation processes.

Report

(7 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (25 results)

All 2017 2016 2015 2014 2013 2012 2011

All Journal Article (10 results) (of which Peer Reviewed: 10 results,  Open Access: 4 results,  Acknowledgement Compliant: 4 results) Presentation (14 results) (of which Invited: 1 results) Book (1 results)

  • [Journal Article] Massive higher spin fields in curved spacetime and necessity of non-minimal couplings2016

    • Author(s)
      Masafumi Fukuma, Hikaru Kawai, Katsuta Sakai and Junji Yamamoto
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 7 Issue: 7 Pages: 073B02-073B02

    • DOI

      10.1093/ptep/ptw080

    • NAID

      120005848261

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Triangle-hinge models for unoriented membranes2016

    • Author(s)
      Masafumi Fukuma, Sotaro Sugishita, Naoya Umeda
    • Journal Title

      PTEP

      Volume: 7 Issue: 7 Pages: 1-24

    • DOI

      10.1093/ptep/ptw069

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Matter fields in triangle-hinge models2016

    • Author(s)
      Masafumi Fukuma, Sotaro Sugishita, Naoya Umeda
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: -

    • NAID

      120005848258

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Random volumes from matrices2015

    • Author(s)
      Masafumi Fukuma, Sotaro Sugishita, Naoya Umeda
    • Journal Title

      Journal of High Energy Physics

      Volume: 1507 Issue: 7 Pages: 88-88

    • DOI

      10.1007/jhep07(2015)088

    • NAID

      120005676631

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Master equation for the Unruh-DeWitt detector and the universal relaxation time in de Sitter space2014

    • Author(s)
      Masafumi Fukuma, Yuho Sakatani and Sotaro Sugishita
    • Journal Title

      Physical Review D

      Volume: 89 Issue: 6 Pages: 0640241-23

    • DOI

      10.1103/physrevd.89.064024

    • NAID

      120005466673

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Propagators in de Sitter space2013

    • Author(s)
      Masafumi Fukuma, Yuho Sakatani and Sotaro Sugishita
    • Journal Title

      Physical Review D

      Volume: 88 Issue: 2 Pages: 0240411-41

    • DOI

      10.1103/physrevd.88.024041

    • NAID

      120005323022

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Relativistic viscoelastic fluid mechanics2013

    • Author(s)
      Masafumi Fukuma and Yuho Sakatani
    • Journal Title

      International Journal of Modern Physics: Conference Series

      Volume: 21 Pages: 189-189

    • DOI

      10.1142/s2010194513009744

    • NAID

      120006410716

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Conformal higher-order viscoelastic fluid mechanics2012

    • Author(s)
      Masafumi Fukuma and Yuho Sakatani
    • Journal Title

      Journal of High Energy Physics

      Volume: 1206 Issue: 6 Pages: 102-102

    • DOI

      10.1007/jhep06(2012)102

    • NAID

      120004873595

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Entropic formulation of relativistic continuum mechanics2011

    • Author(s)
      M.Fukuma, Y.Sakatani
    • Journal Title

      Physical Review E

      Volume: 84 Issue: 2 Pages: 1-13

    • DOI

      10.1103/physreve.84.026315

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Relativistic viscoelastic fluid mechanics2011

    • Author(s)
      M.Fukuma, Y.Sakatani
    • Journal Title

      Physical Review E

      Volume: 84 Issue: 2 Pages: 1-28

    • DOI

      10.1103/physreve.84.026316

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Parallel tempering algorithm for the integration over Lefschetz thimbles2017

    • Author(s)
      梅田 直弥、福間 将文
    • Organizer
      日本物理学会第72回年次大会
    • Place of Presentation
      大阪大学(豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] Monte Carlo simulation of triangle-hinge models for membrane dynamics2016

    • Author(s)
      梅田 直弥、杉下 宗太郎、福間 将文
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      宮崎大学(宮崎市)
    • Year and Date
      2016-09-21
    • Related Report
      2016 Annual Research Report
  • [Presentation] Critical behaviors of triangle-hinge models2016

    • Author(s)
      福間 将文
    • Organizer
      「離散的手法による場と時空のダイナミクス」研究会2016
    • Place of Presentation
      静岡労政会館(静岡市)
    • Year and Date
      2016-09-16
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Critical behavior of triangle-hinge models2016

    • Author(s)
      梅田直弥、杉下宗太郎、福間将文
    • Organizer
      日本物理学会 第71回年次大会(2016年)
    • Place of Presentation
      東北学院大学 泉キャンパス (仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Putting matters on the triangle-hinge models2015

    • Author(s)
      梅田直弥、杉下宗太郎、福間将文
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      大阪市立大学 杉本キャンパス (大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
  • [Presentation] On the continuum limit of the triangle-hinge models2015

    • Author(s)
      杉下宗太郎、梅田直弥、福間将文
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      大阪市立大学 杉本キャンパス (大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
  • [Presentation] M理論の構成的定式化に向けたランダム体積の新しい生成法について2015

    • Author(s)
      梅田直弥、杉下宗太郎、福間将文
    • Organizer
      日本物理学会 第70回年次大会
    • Place of Presentation
      早稲田大学 早稲田キャンパス
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] エンタングルメントに基づいた粗視化の手法について2014

    • Author(s)
      酒谷雄峰、福間将文、杉下宗太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Master equation for the Unruh-DeWitt detector and the universal relaxation time in de Sitter space2013

    • Author(s)
      酒谷雄峰、福間将文、杉下宗太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      高知大学朝倉キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] 時間依存するハミルトニアンを持つ系の真空期待値2013

    • Author(s)
      杉下宗太郎、酒谷雄峰、福間将文
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      広島大学 東広島キャンパス
    • Related Report
      2012 Research-status Report
  • [Presentation] 非定常時空上のGreen関数について2013

    • Author(s)
      酒谷雄峰、杉下宗太郎、福間将文
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      広島大学 東広島キャンパス
    • Related Report
      2012 Research-status Report
  • [Presentation] 粘弾性体模型の重イオン衝突実験への応用2012

    • Author(s)
      酒谷雄峰,福間将文
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 非平衡物理におけるエントロピー汎関数の有効性とその応用2011

    • Author(s)
      酒谷雄峰,福間将文
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      弘前大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 連続体力学の非平衡熱力学的定式化 --エントロピー汎関数の有効性とその応用--2011

    • Author(s)
      酒谷雄峰,福間将文
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Related Report
      2011 Research-status Report
  • [Book] 重力とエントロピー2014

    • Author(s)
      福間将文、酒谷雄峰
    • Total Pages
      224
    • Publisher
      サイエンス社
    • Related Report
      2014 Research-status Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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