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Study of large N mass spectrum using matrix model

Research Project

Project/Area Number 17K05417
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 InstitutionHiroshima University

Principal Investigator

Okawa Masanori  広島大学, 先進理工系科学研究科(理), 名誉教授 (00168874)

Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsマトリックスモデル / ラージN理論 / 中間子質量スペクトル / ラージN理論 / 質量スペクトル / 素粒子(理論) / 素粒子理論
Outline of Final Research Achievements

Mass spectrum of large N SU(N) gauge theory with adjoint fermion has been studied nonperturbatively by means of the numerical simulation of the twisted space-time reduced matrix model. The dynamics of the gauge theory depends strongly on the number Nf of the adjoint fermion. Indeed, theories with Nf=0 and 1 are confining, whereas Nf=2 theory is a conformal theory. Nf can take half-integer, and Nf=1/2 theory is supersymmetric. We have calculated meson mass spectrum nonperturbatively, and made systematic study of the dynamics of large N gauge theories.

Academic Significance and Societal Importance of the Research Achievements

近年、アジョイント表現に属するフェルミオンを伴うSU(N)非可換ゲージ理論に大きな関心が持たれている。その理由の一つに、AdS/CFT対応がある。これによると、4次元超対称ゲージ理論のラージN極限と、Anti de Sitter時空を背景にもつ超重力理論が対応している。従来、AdS/CFT対応による定量的な研究は、古典解が使える重力理論からのものが主流であった。本研究によりマトリックスモデルを用いた強結合理論からのアプローチの道が開け、ラージNゲージ理論の非摂動論的研究が定量的に行えるようになった。

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

    (10 results)

All 2021 2019 2018 2017 Other

All Int'l Joint Research (4 results) Journal Article (6 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 6 results,  Open Access: 6 results)

  • [Int'l Joint Research] Instituto de Fisica Teorica UAM-CSIC/Departamento de Fisica Teorica/Universidad Autonoma de Madrid(スペイン)

    • Related Report
      2020 Annual Research Report
  • [Int'l Joint Research] Instituto de Fisica Teorica UAM/CSIC/Universidad Autonoma de Madrid(スペイン)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] マドリッド自治大学(スペイン)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] ドイツ電子シンクロトロン研究所(ドイツ)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Meson spectrum in the large N limit2021

    • Author(s)
      M. Garcia Perez、A. Gonzalez-Arroyo、M. Okawa
    • Journal Title

      Journal of High Energy Physics

      Volume: 4 Issue: 4 Pages: 230-230

    • DOI

      10.1007/jhep04(2021)230

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model2019

    • Author(s)
      A. Gonzalez-Arroyo、I. Kanamori、K-I. Ishikawa、K. Miyahana、M. Okawa、R. Ueno
    • Journal Title

      Journal of High Energy Physics

      Volume: 2019 Issue: 6

    • DOI

      10.1007/jhep06(2019)127

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The two-dimensional twisted reduced principal chiral model revisited2018

    • Author(s)
      A. Gonzarez-Arroyo、M. Okawa
    • Journal Title

      Journal of High Energy Physics

      Volume: 6 Issue: 6 Pages: 158-158

    • DOI

      10.1007/jhep06(2018)158

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus2018

    • Author(s)
      M. Garcia Perez、A. Gonzalez-Arroyo、M. Koren、M. Okawa
    • Journal Title

      Journal of High Energy Physics

      Volume: 7 Issue: 7 Pages: 169-169

    • DOI

      10.1007/jhep07(2018)169

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models2017

    • Author(s)
      M. Garcia Perez、A. Gonzalez-Arroyo、M. Okawa
    • Journal Title

      Journal of High Energy Physics

      Volume: 10 Issue: 10 Pages: 150-150

    • DOI

      10.1007/jhep10(2017)150

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Non-perturbative determination of the Λ-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling2017

    • Author(s)
      Ishikawa Ken-Ichi、Kanamori Issaku、Murakami Yuko、Nakamura Ayaka、Okawa Masanori、Ueno Ryoichiro
    • Journal Title

      Journal of High Energy Physics

      Volume: 2017 Issue: 12 Pages: 1-25

    • DOI

      10.1007/jhep12(2017)067

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access

URL: 

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

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