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Study of topological vacuum structure of Quantum Chromodynamics using lattice theory with exact chiral symmetry

Research Project

Project/Area Number 21674002
Research Category

Grant-in-Aid for Young Scientists (S)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionHigh Energy Accelerator Research Organization

Principal Investigator

HASHIMOTO Shoji  高エネルギー加速器研究機構, 素粒子原子核研究所, 教授 (90280510)

Project Period (FY) 2009 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥66,040,000 (Direct Cost: ¥50,800,000、Indirect Cost: ¥15,240,000)
Fiscal Year 2013: ¥13,260,000 (Direct Cost: ¥10,200,000、Indirect Cost: ¥3,060,000)
Fiscal Year 2012: ¥13,130,000 (Direct Cost: ¥10,100,000、Indirect Cost: ¥3,030,000)
Fiscal Year 2011: ¥13,260,000 (Direct Cost: ¥10,200,000、Indirect Cost: ¥3,060,000)
Fiscal Year 2010: ¥13,650,000 (Direct Cost: ¥10,500,000、Indirect Cost: ¥3,150,000)
Fiscal Year 2009: ¥12,740,000 (Direct Cost: ¥9,800,000、Indirect Cost: ¥2,940,000)
Keywords格子ゲージ理論 / カイラル対称性 / トポロジー / 量子色力学 / シミュレーション / パイ中間子
Research Abstract

Quantum Chromodyamics is the fundamental law to govern the dynamics of quarks. It is strongly non-linear, and numerical methods are required to solve its ground state, which is the vacuum. It is expected that the chiral symmetry of quarks is spontaneously broken in the vacuum and leads to the finite mass of nucleon. This work is to understand this remarkable property using the numerical simulation of lattice gauge theory, the formulation having exact chiral symmetry in particular. We achieved precise calculation of chiral condensate, and performed a study of convergence of the chiral effective theory, an analysis of chiral symmetry breaking within nucleon, a calculation of the decay amplitude of neutral pion through the axial anomaly.

Assessment Rating
Verification Result (Rating)

A-

Report

(7 results)
  • 2014 Research Progress Assessment (Verification Result) ( PDF )
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (39 results)

All 2013 2012 2011 2010 2009

All Journal Article (21 results) (of which Peer Reviewed: 21 results) Presentation (18 results) (of which Invited: 1 results)

  • [Journal Article] A note on Rome-Southampton renormalization with smeared gauge fields2013

    • Author(s)
      R. Arthur, P. A. Boyle, S. Hashimoto, R. Hudspith
    • Journal Title

      Physical Review

      Volume: D88 Issue: 11 Pages: 114506-114506

    • DOI

      10.1103/physrevd.88.114506

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Computing the hadronic vacuum polarization function by analytic continuation2013

    • Author(s)
      X. Feng, S. Hashimoto, G. Hotzel, K. Jansen, M. Petschlies, D.R. Renner
    • Journal Title

      Physical Review

      Volume: D88 Issue: 3 Pages: 34505-34505

    • DOI

      10.1103/physrevd.88.034505

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation2013

    • Author(s)
      G. Cossu, S. Aoki, H. Fukaya, S. Hashimoto, T.Kaneko, H. Matsufuru, J. Noaki
    • Journal Title

      Physical Review

      Volume: D87 Issue: 11 Pages: 114514-114514

    • DOI

      10.1103/physrevd.87.114514

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nucleon strange quark content from Nf=2+1 lattice QCD with exact chiral symmetry2013

    • Author(s)
      H. Ohki, K. Takeda, S. Aoki, S. Hashimoto, T. Kaneko, H. Matsufuru, T. Onogi, J. Noaki
    • Journal Title

      Physical Review

      Volume: D87 Issue: 3 Pages: 34509-34509

    • DOI

      10.1103/physrevd.87.034509

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Simulation of quantum chromodynamics on the lattice with exactly chiral lattice fermions2012

    • Author(s)
      S. Aoki, T. W. Chiu, G. Cossu, X. Feng, H. Fukaya, S. Hashimoto, T. H. Hsieh, T. Kaneko, H. Matsufuru, J. Noaki, T. Onogi, E. Shintani, K. Takeda
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 01A106 Issue: 1

    • DOI

      10.1093/ptep/pts006

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-photon decay of the neutral pion in lattice QCD2012

    • Author(s)
      X.Feng, S. Aoki, H. Fukaya, S. Hashimoto, T. Kaneko, J. Noaki, E. Shintani
    • Journal Title

      Physical Review Letters

      Volume: 109 Issue: 18 Pages: 182001-182001

    • DOI

      10.1103/physrevlett.109.182001

    • NAID

      120007137152

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F2011

    • Author(s)
      C. Lehner, J. Block, S. Hashimoto, T. Wettig
    • Journal Title

      Journal of High Energy Physics

      Volume: 05 Issue: 5 Pages: 115-115

    • DOI

      10.1007/jhep05(2011)115

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Determination of the chiral condensate from QCD Dirac spectrum on the lattice2011

    • Author(s)
      H. Fukaya, S. Aoki, T. W. Chiu, S. Hashimoto, T. Kaneko, J. Noaki, T. Onogi, N. Yamada
    • Journal Title

      Physical Review

      Volume: D83 Issue: 7 Pages: 74501-74501

    • DOI

      10.1103/physrevd.83.074501

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nucleon strange quark content from two-flavor lattice QCD with exact chiral symmetry2011

    • Author(s)
      K.Takeda, T.Onogi, 他4名
    • Journal Title

      Phyiscal Review

      Volume: D83 Issue: 11 Pages: 114506-114506

    • DOI

      10.1103/physrevd.83.114506

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Determination of the chiral condensate from QCD Dirac spectrum on the lattice2011

    • Author(s)
      H.Fukaya, et al.
    • Journal Title

      Physical Review D

      Volume: 83

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The epsilon expansion at next-to-next-to-leading order with small imaginary chemical potential2010

    • Author(s)
      C. Lehner, S. Hashimoto, T. Wettig
    • Journal Title

      Journal of High Energy Physics

      Volume: 06 Issue: 6 Pages: 28-28

    • DOI

      10.1007/jhep06(2010)028

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions2010

    • Author(s)
      E. Shintani, S. Aoki, H. Fukaya, S. Hashimoto, T. Kaneko, T. Onogi, N. Yamada
    • Journal Title

      Physical Review

      Volume: D82 Issue: 7 Pages: 74505-74505

    • DOI

      10.1103/physrevd.82.074505

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Determination of the chiral condensate from 2+1-flavor lattice QCD2010

    • Author(s)
      JLQCD collaboration (H. Fukaya S. Aoki, S. Hashimoto, T. Kaneko, J. Noaki, T. Onogi, N. Yamada)
    • Journal Title

      Phys. Rev. Lett.

      Volume: 104, 122002 Issue: 12 Pages: 4-4

    • DOI

      10.1103/physrevlett.104.122002

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions2010

    • Author(s)
      E.Shintani, et al.
    • Journal Title

      Physical Review D

      Volume: 82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Determination of the chiral condensate from 2+1-flavor lattice QCD2010

    • Author(s)
      H.Fukaya, et al.
    • Journal Title

      Physical Review Letters 104

      Pages: 122002-122002

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-perturbative renormalization of bilinear operators with dynamical…2010

    • Author(s)
      J.Noaki, et al.
    • Journal Title

      Physical Review D81

      Pages: 34502-34502

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-perturbative renormalization of bilinear operators with dynamical overlap fermions2009

    • Author(s)
      JLQCD and TWQCD collaborations (J. Noaki, T.W. Chiu, H. Fukaya, S. Hashimoto, H. Matsufuru, T. Onogi, E.Shintani, N.Yamada)
    • Journal Title

      Phys. Rev. D

      Volume: 81 034502 Issue: 3 Pages: 22-22

    • DOI

      10.1103/physrevd.81.034502

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pion form factors from two-flavor lattice QCD with exact chiral symmetry2009

    • Author(s)
      JLQCD and TWQCD collaborations (S.Aoki, T.W.Chiu, H.Fukaya, S.Hashimoto, T.H.Hsieh, T.Kaneko, H.Matsufuru, J.Noaki, T.Onogi, E.Shintani, N.Yamada)
    • Journal Title

      Phy. Rev. D

      Volume: 80, 034508 Issue: 3 Pages: 20-20

    • DOI

      10.1103/physrevd.80.034508

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lattice study of vacuum polarization function and determination of strong coupling constant2009

    • Author(s)
      E. Shintani, S. Aoki, T. W. Chiu, S. Hashimoto, T. H. Hsieh, T. Kaneko, H. Matsufuru, J. Noaki, T. Onogi, N. Yamada
    • Journal Title

      Physical Review

      Volume: D79 Issue: 7 Pages: 74510-74510

    • DOI

      10.1103/physrevd.79.074510

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pion form factors from two-flavor lattice QCD with exact chiral…2009

    • Author(s)
      S.Aoki, et al.
    • Journal Title

      Physical Review D80

      Pages: 34508-34508

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lattice study of the vacuum polarization function and determination…2009

    • Author(s)
      E.Shintani, et al.
    • Journal Title

      Physical Review D79

      Pages: 74510-74510

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Fine lattice simulations with chirally symmetric quarks2013

    • Author(s)
      S. Hashimoto
    • Organizer
      German-Japanese seminar
    • Place of Presentation
      Regensburg
    • Year and Date
      2013-11-06
    • Related Report
      2013 Final Research Report
  • [Presentation] 格子QCDで有限温度相転移はどこまでわかったか2013

    • Author(s)
      橋本省二
    • Organizer
      日本物理学会2013年秋季大会、招待シンポジウム講演
    • Place of Presentation
      高知大学
    • Year and Date
      2013-09-21
    • Related Report
      2013 Final Research Report
  • [Presentation] Residual mass in five dimensional fermion formulations2013

    • Author(s)
      S. Hashimoto
    • Organizer
      31st International Symposium on Lattice Field Theory (Lattice 2013)
    • Place of Presentation
      University of Mainz, Germany
    • Year and Date
      2013-07-31
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Precision lattice QCD : challenges and prospects2013

    • Author(s)
      S. Hashimoto
    • Organizer
      an invited review talk at the American Physical Society Spring Meeting
    • Place of Presentation
      Denver
    • Year and Date
      2013-04-13
    • Related Report
      2013 Final Research Report
  • [Presentation] 一般化ドメインウォール・フェルミオンにおけるカイラル対称性の破れ2013

    • Author(s)
      橋本省二
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大
    • Year and Date
      2013-03-29
    • Related Report
      2013 Final Research Report
  • [Presentation] 一般化ドメインウォール・フェルミオンにおけるカイラル対称性の破れ2013

    • Author(s)
      橋本省二
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-29
    • Related Report
      2012 Annual Research Report
  • [Presentation] Lattice QCD : Status and Prospects2012

    • Author(s)
      S. Hashimoto
    • Organizer
      an invited plenary talk at the 7th Workshop on the CKM Unitarity Triangle(CKM2012)
    • Place of Presentation
      Cincinnati
    • Year and Date
      2012-09-29
    • Related Report
      2013 Final Research Report
  • [Presentation] 格子QCD : QCDのダイナミクスから素粒子現象論まで2012

    • Author(s)
      橋本省二
    • Organizer
      京大基研研究会「素粒子物理学の進展2012」
    • Year and Date
      2012-07-18
    • Related Report
      2013 Final Research Report
  • [Presentation] 量子色力学における自発的対称性の破れの微視的構造2011

    • Author(s)
      橋本省二
    • Organizer
      素核宇宙融合×新ハドロン・クロスオーバー研究会
    • Place of Presentation
      理化学研究所計算科学研究機構
    • Year and Date
      2011-06-23
    • Related Report
      2013 Final Research Report
  • [Presentation] pi0->gamma,gamma2011

    • Author(s)
      S. Hashimoto
    • Organizer
      the Workshop on the Hadronic Light-by-light contribution to the Muon Anomaly (g-2)
    • Place of Presentation
      Institute for Nuclear Theory, University of Washington, Seattle, USA.
    • Related Report
      2013 Final Research Report
  • [Presentation] αs from JLQCD2011

    • Author(s)
      S. Hashimoto
    • Organizer
      the Workshop on Precision Measurements of αs
    • Place of Presentation
      Munich, Germany
    • Related Report
      2013 Final Research Report
  • [Presentation] 有限温度QCDにおけるディラック演算子固有値スペクトル2010

    • Author(s)
      橋本省二
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-09-12
    • Related Report
      2013 Final Research Report
  • [Presentation] 有限温度QCDにおけるディラック演算子固有値スペクトル2010

    • Author(s)
      橋本省二
    • Organizer
      日本物理学会
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-09-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] Dirac operator eigenvalues in QCD at zero and finite temperature2010

    • Author(s)
      S. Hashimoto
    • Organizer
      the Japanese-German Seminar 2010 "Lattice QCD confronts experiments"
    • Place of Presentation
      Mishima, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] Lattice QCD2009

    • Author(s)
      S. Hashimoto
    • Organizer
      the XXIX International Symposium "Physics in Collision"
    • Place of Presentation
      Kobe University, Kobe, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] Spontaneous chiral symmetry breaking on the lattice2009

    • Author(s)
      S. Hashimoto
    • Organizer
      the Sixth International Workshop on Chiral Dynamics
    • Place of Presentation
      University of Bern, Bern, Switzerland
    • Related Report
      2013 Final Research Report
  • [Presentation] Simulating the vacuum in the femto-scale2009

    • Author(s)
      S. Hashimoto
    • Organizer
      the Conference on Computational Physics 2009
    • Place of Presentation
      Kaohsiung, Taiwan
    • Related Report
      2013 Final Research Report
  • [Presentation] Topics from dynamical overlap fermion simulations by JLQCD/TWQCD2009

    • Author(s)
      S. Hashimoto
    • Organizer
      the Taipei Lattice Workshop
    • Place of Presentation
      National Taiwan University, Taipei
    • Related Report
      2013 Final Research Report

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Published: 2009-04-01   Modified: 2019-07-29  

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