Approach toward high density region in QCD phase structure

• Project/Area Number: 23740177
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kanazawa University
• Principal Investigator: TAKEDA Shinji 金沢大学, 数物科学系, 助教 (60577881)
• Project Period (FY): 2011 – 2013
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
• Keywords: 有限温度相転移 / QCD / 臨界点 / 相図 / 相転移 / 有限密度 / ４フレーバー / 有限温度密度相転移 / 尖度 / 有限サイズスケーリング / 格子量子色力学 / 有限温度密度QCD / 有限温度・密度 / 計算物理学 / 素粒子論

Research Abstract

All materials are made of quark which is one of elemental particles known so far and the interaction between them is described by Quantum Chromo Dynamics. The theory is however difficult to solve by analytic calculation. My purpose here is to reveal some important features of this theory by carrying out numerical simulation. Especially I investigated a system consisted of many quarks by varying temperature and density. This calculation with our typical parameters corresponds to simulate early universe. As a result, I observed a signal which indicates an existence of the critical end point.

Research Products

• [Journal Article] Finite size scaling for 3 and 4-flavor QCD with finite chemical potential (2014)
  • Author(s): Xiao-Yong Jin,Yoshinobu Kuramashi,Yoshifumi Nakamura,Shinji Takeda,Akira Ukawa
  • Journal Title: Proceedings of Science Volume: Lattice Pages: 203-203
• [Journal Article] Zeros of QCD partition function from finite density lattices (2014)
  • Author(s): Xiao-Yong Jin,Yoshinobu Kuramashi,Yoshifumi Nakamura,Shinji Takeda,Akira Ukawa
  • Journal Title: Proceedings of Science Volume: Lattice Pages: 204-204
• [Journal Article] Finite size scaling study of Nf=4 finite density QCD on the lattice (2013)
  • Author(s): X-Y. Jin, Y. Kuramashi, Y. Nakamura, S. Takeda, A. Ukawa
  • Journal Title: Phys. Rev. D Volume: 88 Issue: 9 Pages: 94504-94504
  • DOI: 10.1103/physrevd.88.094508
  • Peer Reviewed
• [Journal Article] Finite size scaling for 3 and 4-flavor QCD with finite chemical potential (2013)
  • Author(s): S. Takeda, X-Y. Jin, Y. Kuramashi, Y. Nakamura, A. Ukawa
  • Journal Title: Proceedings of Science (Lattice 2013) Volume: 203
  • URL: http://pos.sissa.it/archive/conferences/187/203/LATTICE%202013_203.pdf
• [Journal Article] Zeros of QCD partition function from finite density lattices (2013)
  • Author(s): X-Y Jin, Y. Kuramashi, Y. Nakamura, S. Takeda, A. Ukawa
  • Journal Title: Proceedings of Science (LATTICE 2013) Volume: 204
  • URL: http://pos.sissa.it/archive/conferences/187/204/LATTICE%202013_204.pdf
• [Journal Article] Finite size scaling study of Nf=4 finite density QCD on the lattice (2013)
  • Author(s): Xiao-Yong Jin,Yoshinobu Kuramashi,Yoshifumi Nakamura,Shinji Takeda,Akira Ukawa
  • Journal Title: Physical review D Volume: 88 Pages: 94508-94508
  • Peer Reviewed
• [Journal Article] Finite size scaling for 4-flavor QCD with finite chemical potential (2012)
  • Author(s): S. Takeda, X-Y. Jin, Y. Kuramashi, Y. Nakamura, A. Ukawa
  • Journal Title: Proceedings of Science (Lattice 2012) Volume: 066
  • URL: http://pos.sissa.it/archive/conferences/164/066/Lattice%202012_066.pdf
• [Journal Article] Phase of Quark Determinant in Lattice QCD with Finite Chemical Potential (2012)
  • Author(s): S.Takeda, Y.Kuramashi, and A.Ukawa
  • Journal Title: Physical Review D Volume: 85 Issue: 9 Pages: 96008-96008
  • DOI: 10.1103/physrevd.85.096008
  • Peer Reviewed
• [Journal Article] Finite size scaling for 4-flavor QCD with finite chemical potential (2012)
  • Author(s): Shinji Takeda
  • Journal Title: Proceedings of Science Volume: Lattice Pages: 66-66
• [Journal Article] On the phase of quark determinant in lattice QCD with finite chemical potential (2012)
  • Author(s): 武田真滋 藏増嘉伸 宇川彰
  • Journal Title: physical review D Volume: 掲載確定
  • Peer Reviewed
• [Journal Article] On the phase of quark determinant in lattice QCD with finite chemical potential (2011)
  • Author(s): S. Takeda, Y. Kuramashi and A. Ukawa
  • Journal Title: Proceedings of Science (Lattice 2011) Volume: 217
  • URL: http://pos.sissa.it/archive/conferences/139/217/Lattice%202011_217.pdf
• [Presentation] Phase structure of finite density QCD (2014)
  • Author(s): Shinji Takeda
  • Organizer: Lattice QCD at finite temperature and density
  • Place of Presentation: KEK, Tsukuba, Ibaraki
  • Year and Date: 2014-01-21
• [Presentation] Phase structure of finite density QCD (2014)
  • Author(s): Shinji Takeda
  • Organizer: Lattice QCD at finite temperature and density
  • Place of Presentation: 高エネルギー加速器研究機構
  • Invited
• [Presentation] Exploring QCD phase diagram by Wilson type fermions (2013)
  • Author(s): Shinji Takeda
  • Organizer: German-Japanese Seminar
  • Place of Presentation: Regensburg, Germany
  • Year and Date: 2013-11-06
• [Presentation] Exploring finite density QCD with Nf=3 and 4 by Wilson type fermions (2013)
  • Author(s): Shinji Takeda
  • Organizer: The 11th XQCD 2013
  • Place of Presentation: Bern University, Bern, Switzerland
• [Presentation] Finite size scaling for 3 and 4-flavor QCD with finite chemical potential (2013)
  • Author(s): Shinji Takeda
  • Organizer: The 31th International Symposium on Lattice Field Theory, Lattice 2013
  • Place of Presentation: Mainz University, Mainz, Germany
• [Presentation] Complex phase of quark determinant of QCD with finite chemical potential and phase structure of 4-flavor QCD (2012)
  • Author(s): Shinji Takeda
  • Organizer: Tokyo Institute of Technology Theoretical Nuclear Physics group Seminar
  • Place of Presentation: Ookayama, Tokyo
  • Year and Date: 2012-09-27
• [Presentation] Finite size scaling for 4-flavor QCD with finite chemical potential (2012)
  • Author(s): Shinji Takeda
  • Organizer: The 30th International Symposium on Lattice Field Theory, Lattice 2012
  • Place of Presentation: Cairns Convention Centere, Cairns, Australia
• [Presentation] Finite size scaling for 4-flavor QCD with finite chemical potential (2012)
  • Author(s): Shinji Takeda
  • Organizer: New Frontiers in Lattice Gauge Theory
  • Place of Presentation: The Galileo Galilei Institute for Theoretical Physics, Florence, Italy
• [Presentation] Finite size scaling for 4-flavor QCD with finite chemical potential (2012)
  • Author(s): Shinji Takeda
  • Organizer: Lattice 2012
  • Place of Presentation: Cairns Convention Centere, Cairns, Australia
• [Presentation] Complex phase of quark determinant of QCd with finite chemical potential and phase structure of 4-flavor QCD (2012)
  • Author(s): 武田 真滋
  • Organizer: 東京工業大学 原子核理論研究室セミナー
  • Place of Presentation: 東京工業大学
  • Invited
• [Presentation] Finite size scaling for 4-flavor QCD with finite chemical potential (2012)
  • Author(s): 武田 真滋
  • Organizer: 日本物理学会
  • Place of Presentation: 京都産業大学
• [Presentation] 有限密度QCDにおけるフェルミオン行列式の位相について (2012)
  • Author(s): 武田 真滋
  • Organizer: 戦略分野融合
  • Place of Presentation: 東京大学物性研究所
  • Invited
• [Presentation] Finite size scaling for 4-flavor QCD with finite chemical potential
  • Author(s): 武田真滋
  • Organizer: 日本物理学会2012年秋期大会
  • Place of Presentation: 於京都産業大学
• [Presentation] Complex phase in QCD with finite chemical potential
  • Author(s): 武田 真滋
  • Organizer: 「素核宇融合による計算基礎物理学の進展」研究会(招待講演)
  • Place of Presentation: 三重県 合歓の郷
• [Presentation] On the phase of quark determinant in lattice QCD with finite chemical potential
  • Author(s): 武田 真滋
  • Organizer: KEK理論物理学セミナー(招待講演)
  • Place of Presentation: 茨城県 高エネルギー加速器研究機構
• [Presentation] On the phase of quark determinant in lattice QCD with finite chemical potential
  • Author(s): 武田 真滋
  • Organizer: Lattice Symposium
  • Place of Presentation: アメリカ カルフォルニア州 スキューバレー