次世代計算資源上のカイラルクォークシミュレーション

• Project Area: Research on the Emergence of Hierarchical Structure of Matter by Bridging Particle, Nuclear and Astrophysics in Computational Science
• Project/Area Number: 23105715
• Research Category: Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
• Allocation Type: Single-year Grants
• Review Section: Science and Engineering
• Research Institution: The Institute of Physical and Chemical Research
• Principal Investigator: 出渕 卓 独立行政法人理化学研究所, 計算物理研究グループ, グループリーダー (60324068)
• Project Period (FY): 2011-04-01 – 2013-03-31
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000); Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: 大規模数値計算 / モンテカルロ / 統計誤差縮減法 / 固有値問題 / メニコア / GPGPU / ドメイン分割法 / 大規模疎行列 / モンテカルロ計算 / 固有値・固有ベクト

Outline of Annual Research Achievements

本年度は 新たに導入された BlueGene/Q (3.5 rack 700 TFLOPS peak)上で、自然界のクォーク質量に等しい物理点上の アップ、ダウン、ストレンジ の軽いクォークの関わる物理量の計算を、効率良く行うための研究を行った結果、5倍から40倍もの計算効率化を果たすことが出来た。 目的とする正確な物理量（高コスト）とその近似計算（低コスト）の両方を、後者の近似計算をより頻繁（正確な計算の～100倍程度の頻度）行うことによって統計誤差を下げ、なおかつ格子理論の対称性を使うことに計算結果にバイアスを入れない All-Mode Averaging (AMA) という 方法を提案した。物理量の骨組みとなるクォークの伝搬関数を計算する際に、長距離の伝搬を支配するクォークの低エネルギーモードを固有ベクトルを求めることにより正確に扱い、短距離伝搬を担う 高エネルギーモードは多項式近似を行う。新しい計算資源である BlueGene/Q や GPU 上で、それぞれの資源の特長を生かした固有ベクトル計算を高効率で行うためのアルゴリズム implicitly restarting Lanczos with Chebyshev acceleration を開発・実装した。BlueGene/Q 上での計算コードは 理論絶対ピークの 30%の速度を超えており、この世代のメニコア環境下では満足のいく効率だと思われる。現在の方法では、より大体積の格子計算では、より大きなメモリ容量が必要 (体積の2乗に比例）であり、ドメイン分割法などの方法で必要メモリを減らすことが現在の課題であるが、これに関しても今現在進展を得つつある。

Research Progress Status

24年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

24年度が最終年度であるため、記入しない。

Research Products

• [Journal Article] Domain Wall QCD with Near-Physical Pions (2013)
  • Author(s): R. Arthur et al
  • Journal Title: Phys.Rev.D Volume: -
  • Peer Reviewed
• [Journal Article] Short Distance Repulsion Among Baryons (2013)
  • Author(s): S. Aoki, J. Balog, T. Doi, T. Inoue, P. Weisz
  • Journal Title: Int. J. Mod. Phys Volume: E22 Issue: 1 Pages: 1330012-1330012
  • DOI: 10.1093/ptep/pts002
  • Peer Reviewed
• [Journal Article] The K→(ππ)I=2 Decay Amplitude from Lattice QCD (2012)
  • Author(s): T. Blum et al.
  • Journal Title: Phys.Rev.Lett. Volume: 108 Issue: 14
  • DOI: 10.1103/physrevlett.108.141601
  • Peer Reviewed
• [Journal Article] Full QED+QCD low-energy constants through reweighting (2012)
  • Author(s): T.Ishikawa, T.Blum, M.Hayakawa, T.Izubuchi, C.Jung and R.Zhou
  • Journal Title: Physical Review Letters Volume: 109 Issue: 7 Pages: 72002-72002
  • DOI: 10.1103/physrevlett.109.072002
  • Peer Reviewed
• [Journal Article] Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy (2012)
  • Author(s): Yasumichi Aoki
  • Journal Title: Physical Review D Volume: 86 Issue: 11
  • DOI: 10.1103/physrevd.86.116003
  • Peer Reviewed
• [Journal Article] Lattice determination of the K→(ππ)I=2 Decay Amplitude A2 (2012)
  • Author(s): T.Blum et al
  • Journal Title: Phys.Rev.D Volume: 86 Issue: 7
  • DOI: 10.1103/physrevd.86.074513
  • Peer Reviewed
• [Journal Article] Lattice quantum chromodynamics at the physical point and beyond (2012)
  • Author(s): S. Aoki et al
  • Journal Title: PTEP Volume: 01A102
  • Peer Reviewed
• [Journal Article] Hadronic corrections to the muon anomalous magnetic moment from lattice QCD (2012)
  • Author(s): T. Blum, M. Hayakawa, T. Izubuchi
  • Journal Title: PoS Volume: LATTICE 2012
• [Journal Article] The K to (pipi)I=2 decay amplitudes from lattice QCD (2012)
  • Author(s): T.Blum, T.Izubuchi, et.al.
  • Journal Title: Phys.Rev.Lett. Volume: 108(掲載決定)(印刷中)
  • Peer Reviewed
• [Journal Article] Continuum Limit Physics from 2+1 Flavor Domain Wall QCD (2011)
  • Author(s): Y.Aoki, et al
  • Journal Title: Physical Review D Volume: 83 Issue: 7 Pages: 0745081-72
  • DOI: 10.1103/physrevd.83.074508
  • Peer Reviewed
• [Journal Article] Continuum Limit of Bk from 2+1 Flavor Domain Wall QCD (2011)
  • Author(s): Y.Aoki, et al
  • Journal Title: Physical Review D Volume: 84 Issue: 1 Pages: 0145031-32
  • DOI: 10.1103/physrevd.84.014503
  • Peer Reviewed
• [Journal Article] One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement (2011)
  • Author(s): Tomomi Ishikawa, et al
  • Journal Title: Journal of High Energy Physics Volume: 2011 Issue: 5 Pages: 1-77
  • DOI: 10.1007/jhep05(2011)040
  • Peer Reviewed
• [Journal Article] Charm quark system at the physical point of 2+1 flavor lattice QCD (2011)
  • Author(s): Y.Namekawa, K.Yoshinobu, 他10名
  • Journal Title: Physical Review Volume: D84 Issue: 7 Pages: 1-11
  • DOI: 10.1103/physrevd.84.074505
  • Peer Reviewed
• [Journal Article] K to ππ Decay amplitudes from Lattice QCD (2011)
  • Author(s): T. Blum, et al
  • Journal Title: Phys. Rev. D Volume: 84 Issue: 11
  • DOI: 10.1103/physrevd.84.114503
  • Peer Reviewed
• [Presentation] Lattice QCD+QED and its applications (2012)
  • Author(s): T. Izubuchi
  • Organizer: QCD Structure
  • Place of Presentation: Wuhan, China
  • Year and Date: 2012-10-07
  • Invited
• [Presentation] Lattice calculation of the nucleon EDM (2012)
  • Author(s): T. Blum, T. Izubuchi, E. Shintani
  • Organizer: ECT* workshop EDM Searches at Storage Rings
  • Place of Presentation: Trento, Italy
  • Year and Date: 2012-10-01
  • Invited
• [Presentation] A new class of error reduction techniques and its application (2012)
  • Author(s): T. Blum, T. Izubuchi, E. Shintani
  • Organizer: New Frontiers in Lattice Gauge Theory Workshop, Galileo Galilei Institute for Theoretical Physics
  • Place of Presentation: Florence, Italy
  • Year and Date: 2012-08-27
  • Invited
• [Presentation] Lattice QCD+QED (2012)
  • Author(s): T. Izubuchi
  • Organizer: INT Summer School on Lattice QCD for Nuclear Physics, Univ. Washington
  • Place of Presentation: Univ Washington, Seattle
  • Year and Date: 2012-08-14
  • Invited
• [Presentation] Iospin breaking studies from lattice QCD + QED (2012)
  • Author(s): T. Izubuchi
  • Organizer: The 7th International Workshop on Chiral Dynamics, Jefferson Lab
  • Place of Presentation: Jefferson Lab, Virginia
  • Year and Date: 2012-08-06
  • Invited
• [Presentation] Aslash SeqSrc AMA (2012)
  • Author(s): T. Blum, T. Izubuchi, E. Shintani
  • Organizer: LHP IV, The 4th International Workshop on Lattice Hadron Physics, Univ. Adelaide
  • Place of Presentation: Univ. Adelaide, Adelaide
  • Year and Date: 2012-07-07
  • Invited
• [Presentation] CAA: Covariant Approximation Averaging a class of error reduction techniques (2012)
  • Author(s): T. Blum, T. Izubuchi, E. Shintani
  • Organizer: QCDNA VII, The Seventh International Workshop on Lattice QCD and Numerical Analysis, Univ Adelaide
  • Place of Presentation: Univ. Adelaide, Adelaide
  • Year and Date: 2012-07-04
  • Invited
• [Presentation] Error reduction technique using covariant approximation and application to nucleon form factor (2012)
  • Author(s): T.Blum, T. Izubuchi and E Shintani
  • Organizer: LATTICE 2012
  • Place of Presentation: Cairns Convention Centre, Cairns, Australia
  • Year and Date: 2012-06-24
• [Presentation] Hadronic corrections to the muon anomalous magnetic moment from lattice QCD (2012)
  • Author(s): T. Blum, M. Hayakawa, T. Izubuchi
  • Organizer: LATTICE 2012
  • Place of Presentation: Cairns Convention Centre, Cairns, Australia
  • Year and Date: 2012-06-24
  • Invited
• [Presentation] Lattice QCD + QED from Isospin breaking to g-2 light-by-light (2012)
  • Author(s): T. Izubuchi
  • Organizer: LATTICE 2012
  • Place of Presentation: Cairns Convention Centre, Cairns, Australia
  • Year and Date: 2012-06-24
  • Invited
• [Presentation] New methods for lattice-QCD calculations of the hadronic light-by-light contribution to g-2 (2012)
  • Author(s): T. Blum, T. Izubuchi, E. Shintani
  • Organizer: Project X Physics Study Workshop
  • Place of Presentation: Fermi National Accelerator Laboratory, IL
  • Year and Date: 2012-06-14
  • Invited
• [Presentation] Proton Decay Matrix Elements from Latticee QCD (2012)
  • Author(s): T. Izubuchi, E. Shintani
  • Organizer: Project X Physics Study Workshop
  • Place of Presentation: Fermi National Accelerator Laboratory, IL
  • Year and Date: 2012-06-14
  • Invited
• [Presentation] Lattice QCD+QED (2011)
  • Author(s): T.Izubuchi
  • Organizer: Japan-German Symposium on Lattice Gauge Theory
  • Place of Presentation: Wuppertal, Germany(招待講演)
  • Year and Date: 2011-05-02