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Preconditioning for overlap fermions in Lattice QCD

Research Project

Project/Area Number 24540276
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionHiroshima 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 *help
¥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.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (7 results)

All 2015 2014 2013 2012

All Journal Article (2 results) (of which Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (5 results) (of which Invited: 1 results)

  • [Journal Article] A construction of the Schrodinger Functional for Mebius Domain Wall Fermions2015

    • Author(s)
      Y. Murakami and K.I. Ishikawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE2014 Pages: 3311-7

    • Related Report
      2014 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Testing reweighting method for truncated Overlap fermions2014

    • Author(s)
      Ken-Ichi Ishikawa
    • Journal Title

      Proceedings of Science

      Volume: LATTICE 2013 Pages: 0261-7

    • Related Report
      2013 Research-status Report
  • [Presentation] Mebius domainwall fermion with the Schroedinger functional scheme2014

    • 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
    • Related Report
      2014 Annual Research Report
    • 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
    • Related Report
      2014 Annual Research Report
  • [Presentation] A construction of the Schrodinger Functional for Mebius Domain Wall Fermions2014

    • 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
    • Related Report
      2014 Annual Research Report
  • [Presentation] Testing reweighting method for truncated Overlap fermions2013

    • Author(s)
      Ken-Ichi Ishikawa
    • Organizer
      31st International Symposium on Lattice Field Theory LATTICE 2013
    • Place of Presentation
      Mainz, Germany
    • Related Report
      2013 Research-status Report
  • [Presentation] Testing SSOR preconditioner for Domainwall/Overlap normal equations2012

    • 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
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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