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

• Project/Area Number: 26610072
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Osaka 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: ¥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)
• Keywords: QCD / 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.

Research Products

• [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)
• [Journal Article] Sign problem in finite density lattice QCD (2017)
  • 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
  • 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 potential (2017)
  • Author(s): D. L. Boyda, A. Nakamura 他
  • Journal Title: JETP Letters Volume: 104 Issue: 10 Pages: 657-661
  • DOI: 10.1134/s0021364016220069
  • Open Access / Int'l Joint Research
• [Journal Article] Dyons and Roberge - Weiss transition in lattice QCD (2017)
  • Author(s): V. G. Bornyakov, A. Nakamura 他
  • Journal Title: EPJ Web of Conferences Volume: 137, Pages: 03002-03002
  • DOI: 10.1051/epjconf/201713703002
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] QCD phase transition at real chemical potential with canonical approach (2016)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Canonical approach to finite density QCD with multiple precision computation (2016)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses (2016)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Probing QCD phase structure using baryon multiplicity distribution (2016)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Lee-Yang zero distribution of high temperature QCD and the Roberge-Weiss phase transition (2015)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Taming the pion condensation in QCD at finite baryon density (2015)
  • 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
  • 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
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Lattice QCD for Baryon Rich Matter (2015)
  • 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
  • Int'l Joint Research
• [Presentation] Beating the sign problem in finite density (2015)
  • 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
  • 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
  • Invited
• [Presentation] Numerical Study of QCD Phase Diagram with High Multi-precision Arithmetic (2014)
  • 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
  • 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
  • Invited
• [Remarks]