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Finite density lattice QCD - Challenge for the sign problem and the first principle calculation of the high density system

Research Project

Project/Area Number 24340054
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionOsaka University (2015)
Hiroshima University (2012-2014)

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) Kunihiro Teiji  京都大学, 理学研究科, 教授 (20153314)
Hatsuda Tetsuo  独立行政法人理化学研究所, 仁科加速器研究センター, 主任研究員 (20192700)
Ohnishi Akira  京都大学, 基礎物理学研究所, 教授 (70250412)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Fiscal Year 2014: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2013: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2012: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
KeywordsQCD / 符号問題 / 数値シミュレーション / 高密度状態 / 相構造 / Lee Yangゼロ / 閉じこめ / モンテカルロ計算 / 有限密度 / 極限状態 / モンテカルロ法 / カノニカル法 / クォーク / リー・ヤンゼロ / 閉込め / カノニカル分配関数 / ハドロン
Outline of Final Research Achievements

In order to study QCD phase structure, the lattice QCD simulation is most reliable since it is a first principle calculation. However, the lattice QCD at finite density suffers from so-called sign problem. So far, there have been many progresses as Taylor expansion, imaginary chemical potential method and multi-parameter re-weighting, but still it is difficult to reach low temperature and high density regions.
To go further, we have developed a canonical approach constructed from the fugacity expansion in this project. We have constructed also a method to construct the canonical partition functions from experimental data assuming only the particle anti-particle symmetry. We can now relate experimental data and lattice simulation at finite density regions.

Report

(4 results)
  • 2015 Final Research Report ( PDF )
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • Research Products

    (23 results)

All 2014 2013 2012 Other

All Journal Article (7 results) (of which Peer Reviewed: 7 results,  Acknowledgement Compliant: 1 results) Presentation (15 results) (of which Invited: 3 results) Book (1 results)

  • [Journal Article] What are multiplicity distributions telling us about the QCD phase diagram?2014

    • Author(s)
      Atsushi Nakamura, Keitaro Nagata
    • Journal Title

      Nuclear Physics

      Volume: A931 Pages: 824-830

    • DOI

      10.1016/j.nuclphysa.2014.09.076

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Color screening potential at finite density in two-flavor lattice QCD with Wilson fermions2013

    • Author(s)
      Junichi Takahashi, Keitaro Nagata, Takuya Saito, Atsushi Nakamura, Takahiro Sasaki, Hiroaki Kouno, Masanobu Yahiro
    • Journal Title

      Phys. Rev.

      Volume: D 88 Pages: 114504-114504

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Approach to Quark-Gluon World from Statistical QCD2013

    • Author(s)
      Atsushi Nakamura, Keitaro Nagata
    • Journal Title

      Proceedings of the 12th Asia Pacific Physics Conference (APPC12)

      Volume: 10.7566 Pages: 16002-16002

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] EoS of finite density QCD with Wilson fermions by Multi-Parameter Reweighting and Taylor expansion2012

    • Author(s)
      Keitaro Nagata and Atsushi Nakamura
    • Journal Title

      JHEP

      Volume: 1204 Pages: 92-92

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Towards extremely dense matter on the lattice, XQCD-J Collaboration2012

    • Author(s)
      A.Nakamura et al.
    • Journal Title

      PTEP 2012

      Volume: 2012 Issue: 1 Pages: 1-35

    • DOI

      10.1093/ptep/pts003

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Study of the low temperature and high density states by using lattice QCD simulations2012

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

      PoS(Lattice 2012)

      Pages: 266-266

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Low temperature limit of lattice QCD2012

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

      PoS(Lattice 2012)

      Pages: 94-94

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] QCD相図の探求 と J-PARCでの原子核ビーム実験2014

    • Author(s)
      中村純
    • Organizer
      J-PARCにおける重イオン衝突実験が拓く新しい物理
    • Place of Presentation
      高エネルギー加速器研究機構
    • Year and Date
      2014-11-26 – 2014-11-27
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Numerical Study of QCD Phase Diagram with High Multi-precision Arithmetic2014

    • Author(s)
      Atsushi Nakamura
    • Organizer
      国際ワークショップ「計算核物理学の進展と展望」
    • Place of Presentation
      Hawaii, US
    • Year and Date
      2014-10-05 – 2014-10-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] What are multiplicity distributions telling us on QCD phase diagram?2014

    • Author(s)
      Atsushi Nakamura
    • Organizer
      Quark Matter 2014
    • Place of Presentation
      Darnstadt, Germany
    • Year and Date
      2014-05-19 – 2014-05-24
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A few topics in the lattice gauge theory out of the main stream2013

    • Author(s)
      A. Nakamura
    • Organizer
      EXTRA DIMENSIONS 2013
    • Place of Presentation
      大阪大学
    • Year and Date
      2013-03-15
    • Related Report
      2012 Annual Research Report
  • [Presentation] ゼロからの格子QCD入門2013

    • Author(s)
      中村純
    • Organizer
      素核宇宙融合レクチャー
    • Place of Presentation
      理化学研究所
    • Related Report
      2013 Annual Research Report
  • [Presentation] What can we learn from RHIC proton multiplicity distributions on QCD phase diagram?2013

    • Author(s)
      Atsushi Nakamura
    • Organizer
      Workshop on QCD under extreme conditions XQCD13
    • Place of Presentation
      ベルン大学(スイス)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Finite Density Lattice QCD - a combined approach2012

    • Author(s)
      Atsushi Nakamura
    • Organizer
      Extreme QCD (xQCD)
    • Place of Presentation
      ジョージワシントン大学, USA
    • Year and Date
      2012-08-23
    • Related Report
      2012 Annual Research Report
  • [Presentation] 符号問題とモンテカルロ計算-格子QCDの場合2012

    • Author(s)
      中村純
    • Organizer
      第2回HPCI戦略プログラム分野2×分野5異分野交流研究会
    • Place of Presentation
      東京大学柏キャンパス物性研究所(招待講演)
    • Year and Date
      2012-05-30
    • Related Report
      2012 Annual Research Report
  • [Presentation] Numerical Approach to Quark-Gluon World from Statistical QCD

    • Author(s)
      Atsushi Nakamura
    • Organizer
      APPC12
    • Place of Presentation
      幕張メッセ国際会議場
    • Related Report
      2013 Annual Research Report
  • [Presentation] Pursuing QCD Phase Transition with Lattice QCD and Experimental Data

    • Author(s)
      Atsushi Nakamura
    • Organizer
      Lattice 2013
    • Place of Presentation
      ヨハネス・グーテンベルク大学(ドイツ)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Role of Lattice QCD in Future High-Energy Nuclear Collisions

    • Author(s)
      Atsushi Nakamura
    • Organizer
      Future Trends in High-Energy Nuclear Collisions
    • Place of Presentation
      清華大学(中国)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 格子QCDによる有限密度ハドロン系の研究

    • Author(s)
      中村純
    • Organizer
      RCNP/九大研究会「ハドロン物理と原子核物理のクロスオーバー」
    • Place of Presentation
      九州大学箱崎キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] 多重度分布とQCD相転移

    • Author(s)
      中村純
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      高知大学朝倉キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] Probing QCD phase Structure by Baryon Multiplicity Distributionole

    • Author(s)
      Atsushi Nakamura
    • Organizer
      Heavy Ion Meeting 2013-11 (HIM 2013)
    • Place of Presentation
      仁荷大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Towards Understanding QCD Phase Diagram Lattice and RHIC Experiments

    • Author(s)
      A. Nakamura
    • Organizer
      Lattice QCD at finite temperature and density
    • Place of Presentation
      高エネルギー加速器研究機構
    • Related Report
      2013 Annual Research Report
  • [Book] フロー式物理演習シリーズ18相対論入門2014

    • Author(s)
      中村 純
    • Total Pages
      180
    • Publisher
      共立出版
    • Related Report
      2013 Annual Research Report

URL: 

Published: 2012-04-24   Modified: 2019-07-29  

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