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Finite Density Lattice QCD for Experiments and Observations

Research Project

Project/Area Number 15H03663
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionOsaka University

Principal Investigator

Nakamura Atsushi  大阪大学, 核物理研究センター, 協同研究員 (30130876)

Co-Investigator(Kenkyū-buntansha) 保坂 淳  大阪大学, 核物理研究センター, 教授 (10259872)
國廣 悌二  京都大学, 理学研究科, 名誉教授 (20153314)
初田 哲男  国立研究開発法人理化学研究所, 数理創造プログラム, プログラムディレクター (20192700)
大西 明  京都大学, 基礎物理学研究所, 教授 (70250412)
稲垣 知宏  広島大学, 情報メディア教育研究センター, 教授 (80301307)
隅谷 孝洋  広島大学, 情報メディア教育研究センター, 准教授 (90231381)
Research Collaborator Molochkov Alexander  
Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2017: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
KeywordsQCD / クォーク / 有限密度 / 符号問題 / 数値シミュレーション / 格子QCD / 格子ゲージ理論 / クォーク・グルーオン・プラズマ / 有限密度系 / QCD相図 / 理論核物理 / 素粒子論 / 計算物理 / クォーク・グルーオンプラズマ / 化学ポテンシャル / 相図
Outline of Final Research Achievements

QCD(Quantum ChromoDynamics) is the fundamental theory of quarks and gluons which are constituents of matter. Lattice QCD can study its non-perturbative aspects by simulations. But at finite density systems, the lattice QCD simulation was considered to be impossible, because of the "Sign Problem".
We have overcome this difficulty by the canonical approach: We employ the multi-precision calculations to control instability, and we calculate the canonical partition functions at the pure imaginary chemical potential, where no sign problem occurs. Then using these canonical partition functions, we calculate physical quantities at the real chemical potentials.
We study energy regions from 10 GeV to 200 GeV, in which experimental data are available. For more realistic comparisons, we are improving our program codes.

Academic Significance and Societal Importance of the Research Achievements

2017年に、中性子星合体時に生成されたと考えられる重力波がレーザー干渉計重力波天文台LIGOによって観測された。中性子星は質量は太陽と同程度、大きさは直径20キロメートルほどで、その内部では超高密度が実現している。中性子星についてはいろいろな観測から情報が蓄積されてきたが、その内部がどのような状態方程式で記述されるかは明らかではない。有限密度系のQCDのシミュレーションが可能になれば、この状態方程式を求めることができる。中性子星の温度は低く、我々の定式化はまだ大きな改善が必要であるが、地上で実現される高エネルギー重イオン反応の記述は可能であり、そこでの検証を行いながら研究を進めている。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (22 results)

All 2019 2018 2017 2016 2015 Other

All Int'l Joint Research (2 results) Journal Article (13 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 11 results,  Open Access: 10 results,  Acknowledgement Compliant: 7 results) Presentation (6 results) (of which Int'l Joint Research: 6 results,  Invited: 2 results) Remarks (1 results)

  • [Int'l Joint Research] Far Eastern Federal University(ロシア連邦)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] 極東連邦大学/理論実験物理学研究所(ロシア連邦)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Lee-Yang zeros in lattice QCD for searching phase transition points2019

    • Author(s)
      Wakayama M.、Bornyakov V.G.、Boyda D.L.、Goy V.A.、Iida H.、Molochkov A.V.、Nakamura A.、Zakharov V.I.
    • Journal Title

      Physics Letters B

      Volume: 793 Pages: 227-233

    • DOI

      10.1016/j.physletb.2019.04.040

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Lattice QCD at finite baryon density using analytic continuation2018

    • Author(s)
      Bornyakov V.G.、Boyda D.L.、Goy V.A.、Iida H.、Molochkov A.V.、Nakamura Atsushi、Nikolaev A.A.、Zakharov V.I.、Wakayama M.
    • Journal Title

      EPJ Web of Conferences

      Volume: 182 Pages: 02017-02017

    • DOI

      10.1051/epjconf/201818202017

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Restoring canonical partition functions from imaginary chemical potential2018

    • Author(s)
      Bornyakov V.G.、Boyda D.、Goy V.、Molochkov A.、Nakamura A.、Nikolaev A.、Zakharov V.I.
    • Journal Title

      EPJ Web of Conferences

      Volume: 175 Pages: 07027-07027

    • DOI

      10.1051/epjconf/201817507027

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Dyons and Roberge - Weiss transition in lattice QCD2017

    • Author(s)
      V. G. Bornyakov, A. Nakamura 他
    • Journal Title

      EPJ Web of Conferences

      Volume: 137, Pages: 03002-03002

    • DOI

      10.1051/epjconf/201713703002

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Study of lattice QCD at finite baryon density using the canonical approach2017

    • Author(s)
      Bornyakov V. G.、Boyda D. L.、Goy V. A.、Molochkov A. V.、Nakamura Atsushi、Nikolaev A. A.、Zakharov V. I.
    • Journal Title

      EPJ Web of Conferences

      Volume: 137 Pages: 07017-07017

    • DOI

      10.1051/epjconf/201713707017

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Sign problem in finite density lattice QCD2017

    • Author(s)
      V. A. Goy, A. Nakamura 他
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 031D01 Issue: 3

    • DOI

      10.1093/ptep/ptx018

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] QCD phase transition at real chemical potential with canonical approach2016

    • Author(s)
      Atsushi Nakamura, Shotaro Oka, Yusuke Taniguchi
    • Journal Title

      JHEP

      Volume: 02 Issue: 2 Pages: 054-054

    • DOI

      10.1007/jhep02(2016)054

    • NAID

      120007129664

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Canonical approach to finite density QCD with multiple precision computation2016

    • Author(s)
      Ryutaro Fukuda, Atsushi Nakamura, and Shotaro Oka
    • Journal Title

      Phys. Rev.

      Volume: D93 Issue: 9 Pages: 094508-094508

    • DOI

      10.1103/physrevd.93.094508

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Probing QCD phase structure using baryon multiplicity distribution2016

    • Author(s)
      A. Nakamura and K. Nagata
    • Journal Title

      Prog. Theor. Exp. Phys.

      Volume: 3 Issue: 3 Pages: 033D01-033D01

    • DOI

      10.1093/ptep/ptw013

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Entanglement in four-dimensional SU(3) gauge theory2016

    • Author(s)
      Itou Etsuko、Nagata Keitaro、Nakagawa Yoshiyuki、Nakamura Atsushi、Zakharov V. I.
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2016 Issue: 6 Pages: 061B01-061B01

    • DOI

      10.1093/ptep/ptw050

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses2016

    • Author(s)
      Takahiro Makiyama (Saga U., Japan), Yuji Sakai (Wako, RIKEN), Takuya Saito (Kochi U.), Masahiro Ishii, Junichi Takahashi (Kyushu U.), Kouji Kashiwa (Kyoto U., Yukawa Inst., Kyoto), Hiroaki Kouno (Saga U., Japan), Atsushi Nakamura (Hiroshima U., RIISE), Masanobu Yahiro (Kyushu U.)
    • Journal Title

      Phys. Rev. D

      Volume: 93 Issue: 1 Pages: 014505-014505

    • DOI

      10.1103/physrevd.93.014505

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Lee-Yang zero distribution of high temperature QCD and the Roberge-Weiss phase transition2015

    • Author(s)
      K. Nagata, K. Kashiwa, A. Nakamura, S. M. Nishigaki
    • Journal Title

      Phys.Rev.

      Volume: D91 Issue: 9

    • DOI

      10.1103/physrevd.91.094507

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Taming the pion condensation in QCD at finite baryon density2015

    • Author(s)
      S.Aoki, M.Hanada and A. Nakamura
    • Journal Title

      Journal of High Energy Physics

      Volume: 05 Issue: 5 Pages: 71-71

    • DOI

      10.1007/jhep05(2015)071

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Exploring QCD phase structure2018

    • Author(s)
      Atsushi Nakamura
    • Organizer
      the 2nd International Workshop Lattice and Functional Techniques for Exploration of Phase Structure and Transport Properties in Quantum Chromodynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Phase structures of finite density QCD from Lee-Yang zeros in lattice QCD with canonical approach2018

    • Author(s)
      M. Wakayama
    • Organizer
      5th Joint Meeting of the APS Division of Nuclear Physics and the Physical Society of Japan
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Restoring canonical partition functions from imaginary chemical potential2017

    • Author(s)
      V. Goy
    • Organizer
      35th International Symposium on Lattice Field Theory
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Lattice Study of QCD Phase Structure by Canonical Approach2017

    • Author(s)
      D. Boyda
    • Organizer
      35th International Symposium on Lattice Field Theory
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Lattice QCD for Baryon Rich Matter2015

    • Author(s)
      Atsushi Nakamura
    • Organizer
      QM2015
    • Place of Presentation
      Kobe Fashion Mart
    • Year and Date
      2015-09-30
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Beating the sign problem in finite density lattice QCD2015

    • Author(s)
      Atsushi Nakamura
    • Organizer
      Lattice 2015
    • Place of Presentation
      Kobe International Conference Center(兵庫県、神戸市)
    • Year and Date
      2015-07-15
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Remarks] Study of the quark-gluon plasma using lattice QCD

    • URL

      http://protoin.ru/lab/grants/Grants2.html

    • Related Report
      2017 Annual Research Report

URL: 

Published: 2015-04-16   Modified: 2022-08-31  

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