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Study of cosmology using matrix model for superstring theory

Research Project

Project/Area Number 24540264
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 InstitutionShizuoka University

Principal Investigator

Tsuchiya Asato  静岡大学, 理学部, 准教授 (20294150)

Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords超弦理論 / 行列模型 / 宇宙論 / インフレーション宇宙 / 輻射優勢宇宙 / モンテカルロシミュレーション / ハイブリッド並列化 / ファジー球面 / エンタングルメントエントロピー / ラージN繰り込み群 / 標準模型 / ハイブリッド並列計算 / IIB行列模型 / カイラルフェルミオン / 3世代 / AdS/CFT対応 / N=4超対称ヤン.ミルズ理論 / plane wave行列模型
Outline of Final Research Achievements

I studied the IIB matrix model which is expected to give a nonperturbative formulation of superstring theory. I had already showed that the SO(9) symmetry is spontaneously broken down to the SO(3) symmetry after a critical time in the matrix model. This can be interpreted as dynamical emergence of (3+1)-dimensional expanding universe. In this study, I proposed two simplified models which describe early and late times effectively, respectively, and showed that expanding behavior in each model agrees with that in cosmology. As a classical solution of the matrix model are dominant at late times, I examined the classical solutions systematically and found solutions that naturally solve the cosmological constant problem. Moreover, I studied mechanism that the Standard Model is realized in the matrix model.

Report

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

    (42 results)

All 2016 2015 2014 2013 2012 Other

All Journal Article (16 results) (of which Peer Reviewed: 10 results,  Open Access: 6 results,  Acknowledgement Compliant: 6 results) Presentation (22 results) (of which Int'l Joint Research: 3 results,  Invited: 10 results) Book (1 results) Remarks (3 results)

  • [Journal Article] Entanglement entropy in scalar field theory on the fuzzy sphere2016

    • Author(s)
      S. Okuno, M. Suzuki and A. Tsuchiya
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2016, 023B03 Issue: 2 Pages: 1-12

    • DOI

      10.1093/ptep/ptv192

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Power-law expansion of the Universe from the bosonic Lorentzian type IIB matrix model2015

    • Author(s)
      Y. Ito, J. Nishimura and A. Tsuchiya
    • Journal Title

      Journal of High Energy Physics

      Volume: 1511, 070 Issue: 11 Pages: 1-22

    • DOI

      10.1007/jhep11(2015)070

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Realizing three generations of the Standard Model fermions in the type IIB matrix model2014

    • Author(s)
      Hajime Aoki, Jun Nishimura, Asato Tsuchiya
    • Journal Title

      JHEP

      Volume: 1405 Issue: 5 Pages: 131-131

    • DOI

      10.1007/jhep05(2014)131

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A renormalization group method for studying the early universe in the Lorentzian IIB matrix model2014

    • Author(s)
      Yuta Ito, Sang-Woo Kim, Yuki Koizuka, Jun Nishimura and Asato Tsuchiya
    • Journal Title

      Prog. Theor. Exp. Phys.

      Volume: 2014 Issue: 8 Pages: 1-19

    • DOI

      10.1093/ptep/ptu101

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Realizing the Standard Model particles in the type IIB matrix model2014

    • Author(s)
      土屋麻人
    • Journal Title

      Fortsch. Phys.

      Volume: 62 Issue: 9-10 Pages: 765-770

    • DOI

      10.1002/prop.201400033

    • Related Report
      2014 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Expanding (3+1)-dimensional universe from the IIB matrix model2014

    • Author(s)
      A. Tsuchiya
    • Journal Title

      Physics of Particles and Nuclei Letters

      Volume: 11/7 Issue: 7 Pages: 894-898

    • DOI

      10.1134/s1547477114070462

    • Related Report
      2014 Research-status Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] 弦理論と時間2014

    • Author(s)
      土屋麻人
    • Journal Title

      数理科学

      Volume: 53/1 Pages: 38-43

    • Related Report
      2014 Research-status Report
  • [Journal Article] Local field theory from the expanding universe at late times in the IIB matrix model2013

    • Author(s)
      J. Nishimura and A. Tsuchiya
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 043B03 Issue: 4 Pages: 1-8

    • DOI

      10.1093/ptep/ptt015

    • Related Report
      2013 Research-status Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Realizing chiral fermions in the type IIB matrix model at finite N2013

    • Author(s)
      Jun Nishimura, Asato Tsuchiya
    • Journal Title

      JHEP

      Volume: 1312 Issue: 12 Pages: 2-2

    • DOI

      10.1007/jhep12(2013)002

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Note on consistent truncation over higher-dimensional sphere in supergravity2013

    • Author(s)
      M. Sato and A. Tsuchiya
    • Journal Title

      Modern Physics Letters

      Volume: A28 Issue: 23 Pages: 1-4

    • DOI

      10.1142/s0217732313501046

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory2013

    • Author(s)
      Masazumi Honda, Goro Ishiki, Sang-Woo Kim, Jun Nishimura, Asato Tsuchiya
    • Journal Title

      JHEP

      Volume: 1311 Issue: 11 Pages: 200-200

    • DOI

      10.1007/jhep11(2013)200

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Monte Carlo studies on the expanding behavior of the early universe in the Lorentzian type IIB matrix model2013

    • Author(s)
      Y. Ito, S.-W. Kim, J. Nishimura and A. Tsuchiya
    • Journal Title

      PoS LATTICE 2013

      Volume: 2013. 341 Pages: 1-7

    • Related Report
      2013 Research-status Report
  • [Journal Article] Classical solutions in the Lorentzian matrix model for superstring theory2013

    • Author(s)
      Sang-Woo Kim, Jun Nishimura, Asato Tsuchiya
    • Journal Title

      International Journal of Modern Physics: Conference Series

      Volume: 21 Pages: 197-199

    • DOI

      10.1142/s2010194513009781

    • Related Report
      2012 Research-status Report
  • [Journal Article] Factorization of the Effective Action in the IIB Matrix Model2012

    • Author(s)
      Yuhma Asano, Hikaru Kawai, Asato Tsuchiya.
    • Journal Title

      nt. J. Mod. Phys. A

      Volume: 27 Issue: 17 Pages: 89-108

    • DOI

      10.1142/s0217751x12500893

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Late time behaviors of the expanding universe in the IIB matrix model2012

    • Author(s)
      Kim, Tsuchiya, Nishimura
    • Journal Title

      Journal of High Energy Physics

      Volume: 1210 Issue: 10 Pages: 1-25

    • DOI

      10.1007/jhep10(2012)147

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Monte Carlo study on the birth of our universe by a Lorentzian matrix model for superstring theory2012

    • Author(s)
      Sang-Woo Kim, Jun Nishimura, Asato Tsuchiya
    • Journal Title

      PosLattice2012

      Volume: 230 Pages: 1-7

    • Related Report
      2012 Research-status Report
  • [Presentation] Entanglement entropy on the fuzzy sphere2016

    • Author(s)
      A. Tsuchiya
    • Organizer
      East Asia Joint Workshop on Fields and Strings
    • Place of Presentation
      中国科学技術大学(中国合肥市)
    • Year and Date
      2016-05-28
    • Related Report
      2015 Annual Research Report
  • [Presentation] 非可換球面上のスカラー場理論におけるエンタングルメントエントロピー2016

    • Author(s)
      奥野静華、鈴木真理子、土屋麻人
    • Organizer
      日本物理学会第71回年次大会
    • Place of Presentation
      東北学院大学(宮城県仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] Entanglement entropy on fuzzy sphere2015

    • Author(s)
      S. Okuno, M. Suzuki and A. Tsuchiya
    • Organizer
      KEK Theory Workshop 2015Dec
    • Place of Presentation
      高エネルギー加速器研究機構(茨城県つくば市)
    • Year and Date
      2015-12-01
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fuzzy sphere上のエンタングルメントエントロピー2015

    • Author(s)
      鈴木真理子、土屋麻人、奥野静華
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      大阪市立大学(大阪府大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] Exponential and power-law expansion of the Universe from the type IIB matrix model2015

    • Author(s)
      A. Tsuchiya
    • Organizer
      Corfu 2015 Workshop on Noncommutative Field Theory and Gravity
    • Place of Presentation
      Mon-Repos(ギリシャコルフ島)
    • Year and Date
      2015-09-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Exponential and power-law expansion of the Universe from the type IIB matrix model2015

    • Author(s)
      土屋麻人
    • Organizer
      離散的手法のよる場と時空のダイナミクス
    • Place of Presentation
      岡山衛生会館(岡山県岡山市)
    • Year and Date
      2015-09-14
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Exponential and power-law expansion of the Universe from the type IIB matrix model2015

    • Author(s)
      A. Tsuchiya
    • Organizer
      Numerical approaches to the holographic principle, quantum gravity and cosmology
    • Place of Presentation
      京都大学基礎物理学研究所(京都府京都市)
    • Year and Date
      2015-07-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 行列模型の解析および数値的研究の最近の進展2015

    • Author(s)
      土屋麻人
    • Organizer
      第1回日露working seminar
    • Place of Presentation
      大阪市立大学文化交流センター(大阪府大阪市)
    • Year and Date
      2015-07-10
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] ローレンツ型IIB行列模型における赤外カットオフ効果の数値的研究2015

    • Author(s)
      東武大,伊藤祐太,Sang-Woo Kim,西村淳,土屋麻人
    • Organizer
      日本物理学会第70回年次大会
    • Place of Presentation
      早稲田大学(東京都)
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 簡単化したローレンツ型IIB行列模型の大規模数値計算による初期宇宙の研究2014

    • Author(s)
      伊藤祐太,西村淳,土屋麻人
    • Organizer
      日本物理学会2014年秋季大会
    • Place of Presentation
      佐賀大学(佐賀市)
    • Year and Date
      2014-09-18 – 2014-09-21
    • Related Report
      2014 Research-status Report
  • [Presentation] 行列模型の大規模数値計算による初期宇宙の研究2014

    • Author(s)
      土屋麻人
    • Organizer
      離散的手法による場と時空のダイナミクス
    • Place of Presentation
      慶応義塾大学(横浜市)
    • Year and Date
      2014-09-12 – 2014-09-15
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Direct Test of the AdS/CFT Correspondence by Monte Carlo Studies of N=4 SYM2014

    • Author(s)
      A. Tsuchiya
    • Organizer
      Aspects of Holography
    • Place of Presentation
      Asia Pacific Center for Theoretical Physics, 韓国浦項市
    • Year and Date
      2014-07-14 – 2014-07-23
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] N=4 超対称ヤン・ミルズ理論のモンテカルロシミュレーションによるAdS/CFT対応の直接検証2014

    • Author(s)
      土屋麻人
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス(神奈川県)
    • Related Report
      2013 Research-status Report
  • [Presentation] Expanding (3+1)-dimensional universe from the IIB matrix model2013

    • Author(s)
      土屋麻人
    • Organizer
      The International Workshop “Supersymmetries and Quantum Symmetries - SQS'2013
    • Place of Presentation
      Dubna, Russia
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 行列模型による超弦理論の非摂動的定式化2013

    • Author(s)
      土屋麻人
    • Organizer
      原子核3者若手夏の学校
    • Place of Presentation
      ホテルたつき(愛知県)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Realizing the Standard Model particles in the type IIB matrix model2013

    • Author(s)
      土屋麻人
    • Organizer
      Workshop on Noncommutative Field Theory and Gravity
    • Place of Presentation
      Corfu, Greece
    • Related Report
      2013 Research-status Report
  • [Presentation] IIB行列模型における標準模型粒子の実現2013

    • Author(s)
      土屋麻人
    • Organizer
      離散的手法による場と時空のダイナミクス
    • Place of Presentation
      高エネルギー加速器研究機構(茨城県)
    • Related Report
      2013 Research-status Report
  • [Presentation] ローレンツ型IIB行列模型におけるくりこみ群的手法2013

    • Author(s)
      伊藤祐太
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Presentation] ローレンツ型IIB行列模型の数値シミュレーションに基づく初期宇宙の指数関数的膨張の研究2013

    • Author(s)
      土屋麻人
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Presentation] A novel large-N reduction for N=4 SYM on RxS^3 and the AdS/CFT correspondence2012

    • Author(s)
      土屋麻人
    • Organizer
      Pregess in Quantum Field Theory and String Theory
    • Place of Presentation
      大阪市立大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Expanding (3+1)-dimensional universe from the IIB matrix model2012

    • Author(s)
      土屋麻人
    • Organizer
      中部夏の学校2012
    • Place of Presentation
      東海大学山中湖セミナーハウス
    • Related Report
      2012 Research-status Report
  • [Presentation] Late time behaviors of the expanding universe in the IIB matrix model2012

    • Author(s)
      土屋麻人
    • Organizer
      離散的手法による場と時空のダイナミクス
    • Place of Presentation
      理化学研究所
    • Related Report
      2012 Research-status Report
    • Invited
  • [Book] 弦理論と行列模型 弦理論の非摂動的定式化と新しい時空と物質の捉え方2014

    • Author(s)
      土屋麻人
    • Total Pages
      156
    • Publisher
      サイエンス社
    • Related Report
      2013 Research-status Report
  • [Remarks] 土屋素粒子論研究室

    • URL

      http://www.ipc.shizuoka.ac.jp/~satsuch/

    • Related Report
      2015 Annual Research Report
  • [Remarks] 静岡大学教員データベース

    • URL

      https://tdb.shizuoka.ac.jp/RDB/public/Default2.aspx?id=10988&l=0

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
  • [Remarks] 土屋麻人のホームページ

    • URL

      http://www.ipc.shizuoka.ac.jp/~satsuch/index.html

    • Related Report
      2014 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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