Preconditioning for overlap fermions in Lattice QCD

• Project/Area Number: 24540276
• 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: ISHIKAWA Ken-Ichi 広島大学, 理学(系)研究科(研究院), 准教授 (60334041)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000); Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2012: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
• Keywords: 素粒子(理論) / 格子QCD / カイラル対称性 / 数値計算 / 素粒子（理論） / 計算物理学

Outline of Final Research Achievements

I investigated the numerical algorithms on the lattice overlap fermion to accelerate the Monte Carlo simulations for the lattice QCD with lattice chiral symmetry.
The successive over relaxation for the quark propagator solver with the domain wall fermion matrix was investigated. The time to obtain the solution was not reduced because of the increase of total numerical operations. The Hybrid Monte Carlo algorithms with the combination of the molecular dynamics with less accurate chiral symmetry and the re-weighting method to exact chiral symmetry was investigated. The appearance of the near zero mode in the kernel operator of the overlap operator prevented the re-weighting method to work well. To avoid the appearance of the near zero mode, I investigated the Schroedinger functional scheme with the domain wall fermions. The Mebius domain wall fermions in the SF scheme was constructed at the tree level.

Research Products

• [Journal Article] A construction of the Schrodinger Functional for Mebius Domain Wall Fermions (2015)
  • Author(s): Y. Murakami and K.I. Ishikawa
  • Journal Title: Proceedings of Science Volume: LATTICE2014 Pages: 3311-7
  • Open Access / Acknowledgement Compliant
• [Journal Article] Testing reweighting method for truncated Overlap fermions (2014)
  • Author(s): Ken-Ichi Ishikawa
  • Journal Title: Proceedings of Science Volume: LATTICE 2013 Pages: 0261-7
• [Presentation] Mebius domainwall fermion with the Schroedinger functional scheme (2014)
  • Author(s): Ken-ichi Ishikawa and Yuko Murakami
  • Organizer: Mini-workshop on QCD
  • Place of Presentation: Institute of Physics, Academia Sinica, Taipei, TAIWAN
  • Year and Date: 2014-11-24
  • Invited
• [Presentation] Mebius Domain Wall FermionにおけるSchroedinger 汎関数法の構成についての研究 (2014)
  • Author(s): 村上祐子，石川健一
  • Organizer: 日本物理学会 2014年秋季大会
  • Place of Presentation: 佐賀大学
  • Year and Date: 2014-09-18
• [Presentation] A construction of the Schrodinger Functional for Mebius Domain Wall Fermions (2014)
  • Author(s): Yuko Murakami, Ken-Ichi Ishikawa
  • Organizer: 32nd International Symposium on Lattice Field Theory (Lattice 2014)
  • Place of Presentation: Columbia University, NY, USA
  • Year and Date: 2014-06-27
• [Presentation] Testing reweighting method for truncated Overlap fermions (2013)
  • Author(s): Ken-Ichi Ishikawa
  • Organizer: 31st International Symposium on Lattice Field Theory LATTICE 2013
  • Place of Presentation: Mainz, Germany
• [Presentation] Testing SSOR preconditioner for Domainwall/Overlap normal equations (2012)
  • Author(s): Ken-Ichi Ishikawa
  • Organizer: Symposium:Quarks to Universe in Computational Science (QUCS 2012)
  • Place of Presentation: 奈良県新公会堂