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Nonperturbative studies of superstring theory by numerical simulations of matrix models

Research Project

Project/Area Number 17K05425
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 InstitutionSetsunan University

Principal Investigator

Azuma Takehiro  摂南大学, 理工学部, 准教授 (10516785)

Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2019: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2018: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2017: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Keywords素粒子論 / 超弦理論 / 行列模型 / 符号問題 / 複素ランジュバン法 / 数値解析 / AdS/CFT
Outline of Final Research Achievements

According to the Big Bang Theory, the four interactions in the nature - weak, string, electromagnetic and gravitational interactions - were unified at the birth of the universe. Superstring theory is regarded as a strong candidate for unifying these four interactions. In this research project, I studied the matrix models as the nonperturbative formulation of superstring theory. In superstring theory, the spacetime must be 10-dimensional, consisting of 1-dimensional temporal and 9-dimensional spatial directions. Especially, I studied how our 4-dimensional spacetime originated through the numerical simulations of the matrix models.

Academic Significance and Societal Importance of the Research Achievements

素粒子論に限らず基礎科学の発展は、私達の生活を豊かにする様々な科学技術に直結するとともに人類の文化としても重要な位置を占めるものである。本研究課題は私達の住んでいる4次元時空、延いては宇宙の成り立ちという根源的な問いに答えるうえで重要な位置を占めるものである。また、本研究課題は富岳等のスーパーコンピューターによる大規模数値計算を必要とするが、こうした数値計算の発展は様々な研究分野に対する波及効果が期待出来る。

Report

(5 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (18 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (1 results) Journal Article (6 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 5 results,  Open Access: 6 results) Presentation (11 results) (of which Int'l Joint Research: 6 results)

  • [Int'l Joint Research] National Technical University of Athens(ギリシャ)

    • Related Report
      2020 Annual Research Report
  • [Journal Article] Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model2020

    • Author(s)
      Konstantinos N. Anagnostopoulos、Takehiro Azuma、Yuta Ito、Jun Nishimura、Toshiyuki Okubo、Stratos Kovalkov Papadoudis
    • Journal Title

      Journal of High Energy Physics

      Volume: 2020 Issue: 6

    • DOI

      10.1007/jhep06(2020)069

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking2020

    • Author(s)
      Konstantinos N. Anagnostopoulos、Takehiro Azuma、Yuta Ito、Jun Nishimura、Toshiyuki Okubo、Stratos Kovalkov Papadoudis
    • Journal Title

      PoS CORFU 2019

      Volume: 183 Pages: 183-183

    • DOI

      10.22323/1.376.0183

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dynamical compactification of extra dimensions in the Euclidean type IIB matrix model: A numerical study using the complex Langevin method2019

    • Author(s)
      Konstantinos N. Anagnostopoulos、東 武大、伊藤 祐太、西村 淳、Stratos Kovalkov Papadoudis
    • Journal Title

      PoS CORFU2018

      Volume: 065 Pages: 1-13

    • DOI

      10.22323/1.347.0065

    • Related Report
      2019 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models2018

    • Author(s)
      Konstantinos N. Anagnostopoulos, Takehiro Azuma, Yuta Ito, Jun Nishimura, Stratos Kovalkov Papadoudis
    • Journal Title

      Journal of High Energy Physics

      Volume: 02(2018)151 Issue: 2

    • DOI

      10.1007/jhep02(2018)151

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model2017

    • Author(s)
      Takehiro Azuma, Yuta Ito, Jun Nishimura, Asato Tsuchiya
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: no. 8, 083B03 Issue: 8 Pages: 1-13

    • DOI

      10.1093/ptep/ptx106

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Phase transitions of a (super) quantum mechanical matrix model with a chemical potential2017

    • Author(s)
      Takehiro Azuma, Pallab Basu, Prasant Samantray
    • Journal Title

      Journal of High Energy Physics

      Volume: 09(2017)071 Issue: 9

    • DOI

      10.1007/jhep09(2017)071

    • NAID

      130007647095

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model2020

    • Author(s)
      Konstantinos N. Anagnostopoulos、Takehiro Azuma、Yuta Ito、Jun Nishimura、Toshiyuki Okubo、Stratos Kovalkov Papadoudis
    • Organizer
      Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Complex Langevin studies of the spacetime structure in the Lorentzian type IIB matrix model2020

    • Author(s)
      Konstantinos N. Anagnostopoulos、Takehiro Azuma、Kohta Hatakeyama、Mitsuaki Hirasawa、Yuta Ito、Jun Nishimura、Stratos Kovalkov Papadoudis、Asato Tsuchiya
    • Organizer
      The 3rd R-CCS International Symposium
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Complex Langevin analysis of the spontaneous rotational symmetry breaking in the Euclidean type IIB matrix model2019

    • Author(s)
      Konstantinos N. Anagnostopoulos, 東 武大, 伊藤 祐太, 西村 淳, 大久保 敏之, Stratos Kovalkov Papadoudis
    • Organizer
      Fugaku QCD coding workshop
    • Related Report
      2019 Research-status Report
  • [Presentation] Complex Langevin analysis of the spontaneous rotational symmetry breaking in the Euclidean type IIB matrix model2019

    • Author(s)
      Konstantinos N. Anagnostopoulos, 東 武大, 伊藤 祐太, 西村 淳, 大久保 敏之, Stratos Kovalkov Papadoudis
    • Organizer
      National Strings Meeting 2019
    • Related Report
      2019 Research-status Report
  • [Presentation] Complex Langevin studies of the continuum limit of the Lorentzian type IIB matrix model2019

    • Author(s)
      Konstantinos N. Anagnostopoulos, 青木俊紘, 東武大, 平沢光昭, 伊藤祐太, 西村淳, Stratos Kovalkov Papadoudis, 土屋麻人
    • Organizer
      第2回 R-CCS国際シンポジウム
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Complex Langevin analysis of the spontaneous rotational symmetry breaking in the Euclidean type IIB matrix model2019

    • Author(s)
      Konstantinos N. Anagnostopoulos、東 武大、伊藤 祐太、西村 淳、大久保 敏之、Stratos Kovalkov Papadoudis
    • Organizer
      The 1st R-CCS International Symposium
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Complex Langevin analysis of the spontaneous rotational symmetry breaking in the Euclidean type IIB matrix model2019

    • Author(s)
      Konstantinos N. Anagnostopoulos、東 武大、伊藤 祐太、西村 淳、大久保 敏之、Stratos Kovalkov Papadoudis
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Complex Langevin analysis of the spontaneous rotational symmetry breaking in the dimensionally-reduced super-Yang-Mills models2018

    • Author(s)
      Konstantinos N. Anagnostopoulos、東 武大、伊藤 祐太、西村 淳、大久保 敏之、Stratos Kovalkov Papadoudis
    • Organizer
      Strings 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential2018

    • Author(s)
      Takehiro Azuma, Pallab Basu, Prasant Samantray
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models2017

    • Author(s)
      Konstantinos N. Anagnostopoulos, Takehiro Azuma, Yuta Ito, Jun Nishimura, Stratos Kovalkov Papadoudis
    • Organizer
      East Asia Joint Workshop on Fields and Strings 2017, KEK Theory workshop 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential2017

    • Author(s)
      Takehiro Azuma, Pallab Basu, Prasant Samantray
    • Organizer
      第40回四国セミナー
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2022-01-27  

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