Study of finite-temperature lattice QCD with shifted boundary conditions

• Project/Area Number: 26400251
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Hiroshima University
• Principal Investigator: Umeda Takashi 広島大学, 教育学研究科, 准教授 (40451679)
• Research Collaborator: Matsufuru Hideo
• Project Period (FY): 2014-04-01 – 2019-03-31
• Project Status: Completed (Fiscal Year 2018)
• Budget Amount: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000); Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 格子QCD / クォークグルーオンプラズマ / 状態方程式

Outline of Final Research Achievements

The fixed scale approach proposed by the principal researcher enabled lattice QCD calculations of the QCD equation of state using the Wilson quark for the first time in the world. In this research project, by adopting the technique of Shifted boundary conditions, we were able to achieve a dramatic improvement in temperature resolution, which is a weakness of the fixed scale approach. Furthermore, by adopting the gradient flow method, we calculate the equation of state at physical points using Wilson quarks for the first time in the world.

Academic Significance and Societal Importance of the Research Achievements

格子QCDシミュレーションにおける状態方程式の計算はまだスタッガードクォーク作用によって行われたものがほとんどである。しかしスタッガードクォーク作用は連続極限が保証されていないので理論的に問題のないウィルソンクォーク系作用を用いた計算が期待されている。
また、新しいグラディエントフローによる計算はウィルソンクォーク系作用で問題となっていたカイラル対称性の陽な破れによる影響を最小限に抑えることが可能になる。このグラディエントフローの手法の有効性を世界に示したことは学術的な意義がある。

Research Products

• [Journal Article] Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow (2018)
  • Author(s): Kazuyuki Kanaya, Shinji Ejiri, Ryo Iwami, Masakiyo Kitazawa, Hiroshi Suzuki, Yusuke Taniguchi and Takash Umeda
  • Journal Title: EPJ Web of Conferences Volume: 175, 07023 Pages: 1-8
  • DOI: 10.1051/epjconf/201817507023
  • Peer Reviewed / Open Access
• [Journal Article] Energy-momentum tensor correlation function in N_f=2+1 full QCD at finite temperature (2018)
  • Author(s): Yusuke Taniguchi, Shinji Ejiri, Kazuyuki Kanaya, Masakiyo Kitazawa, Asobu Suzuki, Hiroshi Suzuki, Takashi Umeda
  • Journal Title: EPJ Web of Conferences Volume: 175, 07013 Pages: 1-8
  • DOI: 10.1051/epjconf/201817507013
  • Peer Reviewed / Open Access
• [Journal Article] Exploring N_f=2+1 QCD thermodynamics from gradient flow (2017)
  • Author(s): Yusuke Taniguch, Shinji Ejiri, Ryo Iwami, Kazuyuki Kanaya, Masakiyo Kitazawa, Hiroshi Suzuki, Takashi Umeda, and Naoki Wakabayashi
  • Journal Title: Phys. Rev. D Volume: 96, 014509 Issue: 1 Pages: 1-28
  • DOI: 10.1103/physrevd.96.014509
  • Peer Reviewed / Open Access
• [Journal Article] Demonstration of Electromagnetic Shielding Using Metal Wire Array Composite Structures (2017)
  • Author(s): T. Tsutaoka, U. Hasanah, A. Tsurunaga, T. Umeda, K. Shimizu
  • Journal Title: Journal of Science Education in Japan Volume: 41 Issue: 4 Pages: 416-424
  • DOI: 10.14935/jssej.41.416
  • NAID: 130006322315
  • ISSN: 0386-4553, 2188-5338
  • Peer Reviewed / Open Access
• [Journal Article] Temperature dependence of topological susceptibility using gradient flow (2017)
  • Author(s): Y. Taniguchi, S. Ejiri, K. Kanaya, M. Kitazawa, H. Suzuki, T. Umeda, R. Iwami and N. Wakabayashi
  • Journal Title: Proceedings of Science Volume: LATTICE2016
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Determination of latent heat at the finite temperature phase transition of SU(3) gauge theory (2017)
  • Author(s): S. Ejiri, R. Iwami, M. Shirogane, N. Wakabayashi, K. Kanaya, M. Kitazawa, H. Suzuki, Y. Taniguchi and T. Umeda
  • Journal Title: Proceedings of Science Volume: LATTICE2016
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Equation of state in (2+1)-flavor QCD with gradient flow (2017)
  • Author(s): K. Kanaya, S. Ejiri, R. Iwami, M. Kitazawa, H. Suzuki, Y. Taniguchi, T. Umeda and N. Wakabayashi
  • Journal Title: Proceedings of Science Volume: LATTICE2016
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] O(4) scaling analysis in two-flavor QCD at finite temperature and density with improved Wilson quarks (2017)
  • Author(s): T. Umeda, S. Ejiri, R. Iwami, K. Kanaya, H. Ohno, A. Uji, N. Wakabayashi and S. Yoshida
  • Journal Title: Proceedings of Science Volume: LATTICE2016
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Topological susceptibility in finite temperature (2+1)-flavor QCD using gradient flow (2017)
  • Author(s): Taniguchi, Y.; Kanaya, K.; Suzuki, H.; Umeda, T.
  • Journal Title: Physical Review D Volume: 95 Issue: 5 Pages: 054502-054502
  • DOI: 10.1103/physrevd.95.054502
  • NAID: 120007129228
  • Peer Reviewed / Open Access
• [Journal Article] Towards the QCD equation of state at the physical point using Wilson fermion (2016)
  • Author(s): T. Umeda, S. Ejiri, R. Iwami and K. Kanaya
  • Journal Title: Proceedings of Science Volume: LATTICE2015
  • NAID: 120006800805
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Multipoint reweighting method and its applications to lattice QCD (2015)
  • Author(s): R. Iwami, S. Ejiri, K. Kanaya, Y. Nakagawa, D. Yamamoto, and T. Umeda
  • Journal Title: Phys. Rev. D Volume: 92 Issue: 9 Pages: 094507-094507
  • DOI: 10.1103/physrevd.92.094507
  • NAID: 120007135794
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Multipoint reweighting method and beta functions for the calculation of QCD equation of state (2015)
  • Author(s): R. Iwami, S. Ejiri, K. Kanaya, Y. Nakagawa, T. Umeda, D. Yamamoto
  • Journal Title: Proceedings of Science Volume: LATTICE2014
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Fixed-scale approach to finite-temperature lattice QCD with shifted boundaries (2014)
  • Author(s): T. Umeda
  • Journal Title: Phys. Rev. D90 Volume: 054511 Issue: 5 Pages: 1-6
  • DOI: 10.1103/physrevd.90.054511
  • Peer Reviewed
• [Presentation] グラジエントフローによる格子2+1フレーバーQCDの熱力学研究 (2019)
  • Author(s): 金谷和至，石見涼，梅田貴士，江尻信司，北沢正清，下条昂礼，白銀瑞樹，鈴木遊，鈴木博，谷口裕介，馬場惇
  • Organizer: 日本物理学会 第74回年次大会(2019年)
• [Presentation] QGP粘性係数導出に向けたNf=2+1 QCDエネルギー運動量テンソル相関関数の研究(II) (2019)
  • Author(s): 谷口裕介, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 下条昂礼, 鈴木遊, 鈴木博, 馬場惇
  • Organizer: 日本物理学会 第74回年次大会(2019年)
• [Presentation] Gradient flow を用いたK中間子の Bag パラメータの数値的研究 (2019)
  • Author(s): 鈴木遊，石見涼，梅田貴士，江尻信司，金谷和至，北沢正清，下条昂礼，白銀瑞樹，鈴木博，谷口裕介，馬場惇
  • Organizer: 日本物理学会 第74回年次大会(2019年)
• [Presentation] Wilson fermionの下でのgradient flowを用いたPCAC関係式の検証 (2019)
  • Author(s): 馬場惇，石見涼，梅田貴士，江尻信司，金谷和至，北沢正清，下条昂礼，白銀瑞樹，鈴木遊，鈴木博，谷口裕介
  • Organizer: 日本物理学会 第74回年次大会(2019年)
• [Presentation] QGP粘性係数導出に向けたNf=2+1 QCDエネルギー運動量テンソル相関関数の研究 (2018)
  • Author(s): 谷口裕介，梅田貴士，江尻信司，金谷和至，北沢正清，下条昂礼，鈴木遊，鈴木博，馬場惇
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] Thermodynamic quantities in the $N_f=2+1$ QCD; the case of somewhat heavy ud quarks (2018)
  • Author(s): 鈴木博，石見涼，梅田貴士，江尻信司，金谷和至，北沢正清，下条昂礼，白銀瑞樹，鈴木遊，谷口裕介，馬場惇
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] Gradient flowを用いたカイラル感受率の測定 (2018)
  • Author(s): 馬場惇, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 下条昂礼, 鈴木博, 谷口裕介
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] 重いクォーク領域における格子QCDの臨界質量の決定に関するホッピングパラメータ展開の収束性 (2018)
  • Author(s): 板垣翔太, 石見涼, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 白銀瑞樹
  • Organizer: 日本物理学会2018年秋季大会
• [Presentation] Study of energy-momentum tensor correlation function in Nf=2+1 full QCD for QGP viscosities (2018)
  • Author(s): Yusuke Taniguchi, Shinji Ejiri, Kazuyuki Kanaya, Masakiyo Kitazawa, Takanori Shimojo, Hiroshi Suzuki, Takashi Umeda, Asobu Suzuki, Atsushi Baba
  • Organizer: Lattice 2018
  • Int'l Joint Research
• [Presentation] Equation of state near the first order phase transition point of SU(3) gauge theory using gradient flow (2018)
  • Author(s): S. Ejiri, R. Iwami, K. Kanaya, M. Kitazawa, H. Suzuki,Y. Taniguchi, T. Umeda
  • Organizer: Lattice 2018
  • Int'l Joint Research
• [Presentation] Measuring of chiral susceptibility using gradient flow (2018)
  • Author(s): Atsushi Baba, Shinji Ejiri, Kazuyuki Kanaya, Masakiyo Kitazawa, Takanori Shimojo, Hiroshi Suzuki, Takashi Umeda, Yusuke Taniguchi, Asobu Suzuki
  • Organizer: Lattice 2018
  • Int'l Joint Research
• [Presentation] Gradient flowによる(2+1)-flavor QCD状態方程式 － 物理点での試験研究 (2018)
  • Author(s): 金谷和至, 石見涼, 梅田貴士, 江尻信司, 北沢正清, 鈴木博, 谷口裕介
  • Organizer: 日本物理学会第73回年次大会
• [Presentation] SU(3)格子ゲージ理論の1次相転移近傍での熱力学量の詳細な解析 (2018)
  • Author(s): 白銀瑞樹, 江尻信司, 石見涼, 金谷和至, 北沢正清, 鈴木博, 谷口祐介, 梅田貴士, 若林直輝
  • Organizer: 日本物理学会第73回年次大会
• [Presentation] Nf=2+1 QCDにおけるQGP粘性係数の計算 (2018)
  • Author(s): 谷口裕介, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 下条昂礼, 鈴木博, 馬場惇
  • Organizer: 日本物理学会第73回年次大会
• [Presentation] エネルギー運動量テンソル相関関数を用いた線形応答関係式のテスト (2018)
  • Author(s): 馬場惇, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 下条昂礼, 鈴木博, 谷口裕介
  • Organizer: 日本物理学会第73回年次大会
• [Presentation] 再重み付け法を用いたSU(3)ゲージ理論の重いクォーク領域における臨界質量の決定 (2018)
  • Author(s): 板垣翔太, 石見涼, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 白銀瑞樹
  • Organizer: 日本物理学会第73回年次大会
• [Presentation] Energy-momentum tensor correlation function in Nf=2+1 full QCD at finite temperature (2017)
  • Author(s): Y. Taniguchi, S. Ejiri, K. Kanaya, M. Kitazawa, A. Suzuki, H. Suzuki, T. Umeda
  • Organizer: The 35th International Symposium on Lattice Field Theory
  • Int'l Joint Research
• [Presentation] Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow (2017)
  • Author(s): K. Kanaya, S. Ejiri, R. Iwami, M. Kitazawa, H. Suzuki, Y. Taniguchi, T. Umeda
  • Organizer: The 35th International Symposium on Lattice Field Theory
  • Int'l Joint Research
• [Presentation] Thermodynamics near the first order phase transition of SU(3) gauge theory using gradient flow (2017)
  • Author(s): S. Ejiri, K. Kanaya, M. Kitazawa, Y. Taniguchi, R. Iwami, H. Suzuki, M. Shirogane, N. Wakabayashi
  • Organizer: The 35th International Symposium on Lattice Field Theory
  • Int'l Joint Research
• [Presentation] Energy-momentum tensor correlation function in Nf=2+1 full QCD at finite temperature (2017)
  • Author(s): Y. Taniguchi, S. Ejiri, K. Kanaya, M. Kitazawa, A. Suzuki, H. Suzuki, T. Umeda
  • Organizer: The 15th International Workshop on QCD in eXtreme Conditions
  • Int'l Joint Research
• [Presentation] Thermodynamics of QCD at physical point with (2+1)-flavors of improved Wilson quarks using gradient flow (2017)
  • Author(s): K. Kanaya, S. Ejiri, R. Iwami, M. Kitazawa, H. Suzuki, Y. Taniguchi, T. Umeda
  • Organizer: The 15th International Workshop on QCD in eXtreme Conditions
  • Int'l Joint Research
• [Presentation] QCDの重いクォーク領域における臨界質量の格子間隔依存性 (2017)
  • Author(s): 板垣翔太, 石見涼, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 白銀瑞樹, 谷口裕介
  • Organizer: 日本物理学会2017年秋季大会
• [Presentation] gradient flow法を用いて見る一次相転移点近傍の熱力学量の性質 (2017)
  • Author(s): 白銀瑞樹, 江尻信司, 石見涼, 金谷和至, 北沢正清, 鈴木博, 谷口祐介, 梅田貴士, 若林直輝
  • Organizer: 日本物理学会2017年秋季大会
• [Presentation] Gradient flowで捉えるエネルギー運動量テンソル相関関数 (2017)
  • Author(s): 谷口裕介, 石見涼, 梅田貴士, 江尻信司, 金谷和至, 北沢正清, 鈴木博, 若林直輝
  • Organizer: 日本物理学会2017年秋季大会
• [Presentation] O(4) scaling analysis in two-flavor QCD at finite temperature and density with improved Wilson quarks (2016)
  • Author(s): T. Umeda, S. Ejiri, R. Iwami, K. Kanaya, H. Ohno, A. Uji, N. Wakabayashi and S. Yoshida
  • Organizer: 34th annual International Symposium on Lattice Field Theory
  • Place of Presentation: University of Southampton, UK
  • Int'l Joint Research
• [Presentation] Equation of state in (2+1)-flavor QCD with gradient flow (2016)
  • Author(s): K. Kanaya, S. Ejiri, R. Iwami, M. Kitazawa, H. Suzuki, Y. Taniguchi, T. Umeda and N. Wakabayashi
  • Organizer: 34th annual International Symposium on Lattice Field Theory
  • Place of Presentation: University of Southampton, UK
  • Int'l Joint Research
• [Presentation] Determination of latent heat at the finite temperature phase transition of SU(3) gauge theory (2016)
  • Author(s): S. Ejiri, R. Iwami, M. Shirogane, N. Wakabayashi, K. Kanaya, M. Kitazawa, H. Suzuki, Y. Taniguchi and T. Umeda
  • Organizer: 34th annual International Symposium on Lattice Field Theory
  • Place of Presentation: University of Southampton, UK
  • Int'l Joint Research
• [Presentation] Temperature dependence of topological susceptibility using gradient flow (2016)
  • Author(s): Y. Taniguchi, S. Ejiri, K. Kanaya, M. Kitazawa, H. Suzuki, T. Umeda, R. Iwami and N. Wakabayashi
  • Organizer: 34th annual International Symposium on Lattice Field Theory
  • Place of Presentation: University of Southampton, UK
  • Int'l Joint Research
• [Presentation] 固定格子間隔で行う有限温度格子QCD計算 (2015)
  • Author(s): 梅田貴士
  • Organizer: 研究会「有限温度密度系の物理と格子ＱＣＤシミュレーション」
  • Place of Presentation: 筑波大学（茨城）
  • Year and Date: 2015-09-05
  • Invited
• [Presentation] (2+1)-flavor QCD Thermodynamics from the Gradient Flow (2015)
  • Author(s): E. Itou, H. Suzuki, Y. Taniguchi, T. Umeda
  • Organizer: The 33rd International Symposium on Lattice Field Theory (LATTICE2015)
  • Place of Presentation: Kobe International Conference Center (Kobe)
  • Year and Date: 2015-07-17
  • Int'l Joint Research
• [Presentation] Towards the QCD equation of state at the physical point using Wilson fermion (2015)
  • Author(s): T. Umeda, S. Ejiri, R. Iwami, K. Kanaya
  • Organizer: The 33rd International Symposium on Lattice Field Theory (LATTICE2015)
  • Place of Presentation: Kobe International Conference Center (Kobe)
  • Year and Date: 2015-07-15
  • Int'l Joint Research
• [Presentation] Thermodynamics in the fixed scale approach with the shifted boundary conditions (2014)
  • Author(s): T. Umeda
  • Organizer: The 32nd International Symposium on Lattice Field Theory LATTICE2014
  • Place of Presentation: Columbia University, NY, USA
  • Year and Date: 2014-06-26