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Lee-Yang zeros and QCD Phase structure -- Unified Approach of Experiments, Theories and Numerical Analyses

Research Project

Project/Area Number 26610072
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionOsaka University (2015-2016)
Hiroshima University (2014)

Principal Investigator

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

Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
KeywordsQCD / 格子ゲージ理論 / 高エネルギー重イオン反応 / 相転移 / 多倍長計算 / 相図 / 有限密度 / リーヤンゼロ / 高エネルギー重イオン / クォーク / グルーオン / 格子QCD / QCD相図 / 臨界点 / リー・ヤンゼロ
Outline of Final Research Achievements

In order to study the QCD phase structure, we have determined the canonical partition fuction both from high energy heavy ion collisions and the lattice QCD.
Using these canonical partition functions we have calculate the Lee-Yang zeros in both experimental and numerical approaches. In these studies, we have developed a new algorithm to obtain zeros of high order polynomical functios with multi-precision calculations.
We show regions where experiments should pursuefor detecting the QCD phase transition.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (17 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (10 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 9 results,  Open Access: 9 results,  Acknowledgement Compliant: 8 results) Presentation (5 results) (of which Int'l Joint Research: 2 results,  Invited: 3 results) Remarks (1 results)

  • [Int'l Joint Research] 極東連邦大学/理論実験物理学研究所/モスクワ物理技術研究所(ロシア連邦)

    • Related Report
      2016 Annual Research Report
  • [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
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Novel approach to deriving the canonical generating functional in lattice QCD at a finite chemical potential2017

    • Author(s)
      D. L. Boyda, A. Nakamura 他
    • Journal Title

      JETP Letters

      Volume: 104 Issue: 10 Pages: 657-661

    • DOI

      10.1134/s0021364016220069

    • Related Report
      2016 Annual Research Report
    • Open Access / Int'l Joint Research
  • [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
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [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
    • 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] 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 Research-status 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
      2015 Research-status 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 Research-status 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 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [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 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Lattice QCD for Baryon Rich Matter2015

    • Author(s)
      Atsushi Nakamura
    • Organizer
      QM 2015
    • Place of Presentation
      Kobe Fashion Mart(兵庫県、神戸市)
    • Year and Date
      2015-09-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Beating the sign problem in finite density2015

    • 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 Research-status Report
    • Int'l Joint Research
  • [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
      茨城県つくば市
    • Year and Date
      2014-11-26 – 2014-11-27
    • Related Report
      2014 Research-status 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 Research-status 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
      Darmstadt, Germany
    • Year and Date
      2014-05-19 – 2014-05-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Remarks]

    • Related Report
      2016 Annual Research Report

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Published: 2014-04-04   Modified: 2022-02-16  

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