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Study on quantum-mechanical dynamics of gauge theories

Research Project

Project/Area Number 20540261
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionNagoya University

Principal Investigator

HAYAKAWA Masashi (KAYAKAWA Masashi)  名古屋大学, 理学研究科, 准教授 (20270556)

Project Period (FY) 2008 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords素粒子理論 / ゲージ理論 / 場の量子論 / 異常磁気能率 / クォーク質量 / QED / 多フレーバ QCD / 高次摂動計算 / 格子ゲージ理論 / conformal dynamics / 素粒子(理論) / レプトンg-2 / Nearly conformal dynamics / クォークの質量の決定 / レプトン異常磁気能率 / 電弱対称性の動的破れ / 格子QCDシミュレーション / 赤外共変不変性 / QCD / クォークの質量 / 微細構造定数
Research Abstract

I completed the computation of the tenth-order QED contribution to the anomalous magnetic dipole moment (g-2) of the electron, and presented the most precise value for the fine structure constant. As for the muon g-2, by improving the numerical precision of the eighth-order QED contribution, and by completing the computation of the tenth-order contribution, the QED contribution in the muon g - 2 wasdetermined with the uncertainty less than that to be achieved by the next-generationexperiments. By simulating QED on the lattice, the electromagnetic correction in the masses of mesons was computed, and as a consequence, the masses of up, down and strange quarks can be determined, which are at present recognized as the standards. I carried out the simulation based on the lattice gauge theory to search the gauge system which may be responsible to the spontaneous breakdown of electroweak symmetry. I pointed out that the SU(3) gauge theory with ten-flavors of massless Dirac fermions is one of such candidates.

Report

(7 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (40 results)

All 2013 2012 2011 2010 2008 Other

All Journal Article (33 results) (of which Peer Reviewed: 26 results) Presentation (5 results) Remarks (2 results)

  • [Journal Article] Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant2012

    • Author(s)
      T.Aoyama、 M.Hayakawa、 , T.Kinoshita and M.Nio
    • Journal Title

      Physical ReviewLetters

      Volume: 109 Pages: 111807-111807

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Complete Tenth-Order QED Contribution to the Muon g-22012

    • Author(s)
      T.Aoyama、 M.Hayakawa、 T.Kinoshita and M.Nio
    • Journal Title

      Physical Review Letters

      Volume: 109 Pages: 111807-111807

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lattice study on two-color QCD with six flavors of dynamical quarks2012

    • Author(s)
      M.Hayakawa、 K.-I.Ishikawa、 Y.Osaki、S.Takeda and N.Yamada
    • Journal Title

      Proceedings of Science LATTICE 2012

      Pages: 40-40

    • Related Report
      2012 Final Research Report
  • [Journal Article] Hadronic corrections to the muon anomalous magnetic moment from lattice QCD2012

    • Author(s)
      T.Blum、 M.Hayakawa and T.Izubuchi
    • Journal Title

      Proceedings of Science LATTICE 2012

      Pages: 22-22

    • Related Report
      2012 Final Research Report
  • [Journal Article] Quantum electrodynamics calculation of lepton anomalous magnetic moments: Numerical approach to the perturbation theory of QED2012

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita and M.Nio
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2012 Issue: 1 Pages: 107-107

    • DOI

      10.1093/ptep/pts030

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hadronic corrections to the muon anomalous magnetic moment from lattice QCD2012

    • Author(s)
      T.Blum, M.Hayakawa and T.Izubuchi
    • Journal Title

      Proceedings of Science

      Volume: LATTICE 2012 Pages: 22-22

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Lattice study on two-color QCD with six flavors of dynamical quarks2012

    • Author(s)
      M.Hayakawa, K.-I.Ishikawa, Y.Osaki, S.Takeda and N.Yamada
    • Journal Title

      Proceedings of Science

      Volume: LATTICE 2012 Pages: 40-40

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Complete Tenth-Order QED Contribution to the Muon g-22012

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita and M.Nio
    • Journal Title

      Physical Review Letters

      Volume: 109 Issue: 11 Pages: 111808-111808

    • DOI

      10.1103/physrevlett.109.111808

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant2012

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita and M.Nio
    • Journal Title

      Physical Review Letters

      Volume: 109 Issue: 11 Pages: 111807-111807

    • DOI

      10.1103/physrevlett.109.111807

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Full QED+QCD low-energy constants through reweighting2012

    • 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

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-Order QED Lepton Anomalous Magnetic Moment---Eighth-Order Vertices Containing a Second-Order Vacuum Polarization2012

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita, M.Nio
    • Journal Title

      Physical Review D

      Volume: 85 Issue: 3 Pages: 93013-93013

    • DOI

      10.1103/physrevd.85.033007

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Running coupling constant of ten-flavor QCD with the Schrodinger functional method2011

    • Author(s)
      M.Hayakawa, N.Yamada, 他4名
    • Journal Title

      Physical Review

      Volume: D83 Issue: 7 Pages: 74509-74509

    • DOI

      10.1103/physrevd.83.074509

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-22011

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita, M.Nio
    • Journal Title

      Physical Review D

      Volume: 83 Issue: 5

    • DOI

      10.1103/physrevd.83.053003

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment-Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams2011

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita, M.Nio
    • Journal Title

      Physical Review D

      Volume: 83 Issue: 5

    • DOI

      10.1103/physrevd.83.053002

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-Order Lepton Anomalous Magnetic Moment--Sixth-Order Vertices Containing Vacuum-Polarization Subdiagrams2011

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita, M.Nio
    • Journal Title

      Physical Review D

      Volume: 84 Issue: 5 Pages: 53003-53003

    • DOI

      10.1103/physrevd.84.053003

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment-Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams2011

    • Author(s)
      T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio
    • Journal Title

      Physical Review D 83

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment- Fourth-Order Vertices Containing Sixth-Order Vacuum-PolarizationSubdiagrams2011

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita, M.Nio
    • Journal Title

      Physical Review D

      Volume: 83

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED2010

    • Author(s)
      T.Blum、 R.Zhou、 T.DOI:, M.Hayakawa、T.Izubuchi 、 S.Uno and N.Yamada
    • Journal Title

      Physical Review D

      Volume: 82 Pages: 94508-94508

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Running coupling constant of ten-flavor QCD with the Schrodinger functional method2010

    • Author(s)
      M.Hayakawa 、 K.~I.Ishikawa 、Y.Osaki 、 S.Takeda 、 S.Uno 、 and N.Yamada
    • Journal Title

      Physical Review D

      Volume: 83 Pages: 74509-74509

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Full QED+QCD low-energy constants through reweighting2010

    • Author(s)
      T.Ishikawa、T.Blum、 M.Hayakawa、T.Izubuchi、 C.Jung and R.Zhou
    • Journal Title

      Physical Review Letters

      Volume: 109 Pages: 72002-72002

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-order lepton sixth-order light-by-light-scattering subdiagram internally2010

    • Author(s)
      T. Aoyama, K. Asano, M. Hayakawa, T. Kinoshita, M. Nio, N. Watanabe
    • Journal Title

      Physical Review D 81

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED2010

    • Author(s)
      T. Blum, R. Zhou, T. Doi, M. Hayakawa, T. Izubuchi, S. Uno, N. Yamada
    • Journal Title

      Physical Review D

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Electromagnetic mass splittings of the low lying hadrons and quarkmasses from 2+1 flavor lattice QCD+QED2010

    • Author(s)
      T.Blum, R.Zhou, T.Doi, M.Hayakawa, T.Izubuchi, S.Uno, N.Yamada
    • Journal Title

      Physical Review D

      Volume: 82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-order lepton g-2 : Contribution of some fourth-order radiative corrections to the sixth-order g-2 containing light-by-light-scattering subdiagrams2010

    • Author(s)
      T.Aoyama, M.Hayakawa, T.Kinoshita, M.Nio
    • Journal Title

      Physical Review D

      Volume: 82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-order lepton g-2 : Contribution from diagrams containing a sixth-order light-by-light-scattering subdiagram internally2010

    • Author(s)
      T.Aoyama, K.Asano, M.Hayakawa, T.Kinoshita, M.Nio, N.Watanabe
    • Journal Title

      Physical Review D 81

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Study of the running coupling constant in 10-flavor QCD with the Schroedinger functional method2010

    • Author(s)
      N.Yamada, M.Hayakawa, K.~I.~Ishikawa, Y.Osaki, S.Takeda, S.Uno
    • Journal Title

      Pos(LAT2009)

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Tenth-Order Lepton Anomalous Magnetic Moment : Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other2008

    • Author(s)
      T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio
    • Journal Title

      Physical Review D 78

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Eighth-Order Vacuum-Polarization Function Formed by Two Light-by-Light-Scattering Diagrams and its Contribution to the Tenth-Order Electron g-22008

    • Author(s)
      T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio, N. Watanabe
    • Journal Title

      Physical Review D 78

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons2008

    • Author(s)
      M. Havakawa, S. Uno
    • Journal Title

      Progress of Theoretical Physics 120

      Pages: 413-441

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Isospin symmetry breaking effects in the pion and nucleon masses2008

    • Author(s)
      R. Zhou, T. Blum, T. Doi, M. Havakawa, T. Izubuchi, N. Yamadae
    • Journal Title

      Pos LATTICE 2008

      Pages: 131-131

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Calculating the light-by-light contribution to the muon anomalous magnetic moment using lattice QED2008

    • Author(s)
      S. Chowdhury, T. Blum, T. Doi, M. Havakawa. T. Izubuchi, N. Yamadae
    • Journal Title

      Pos LATTICE 2008

      Pages: 251-251

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Eighth-Order Vacuum-Polarization Function Formed by Two Light-by-Light-Scattering Diagrams and its Contribution to the Tenth-Order Electron g-22008

    • Author(s)
      T. Aoyama, M. Havakawa. T. Kinoshita, M. Nio, N. Watanabe
    • Journal Title

      Physical Review D 78

      Pages: 53005-53005

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tenth-Order Lepton Anomalous Magnetic Moment -- Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other2008

    • Author(s)
      T. Aoyama, M. Havakawa. T. Kinoshita, M. Nio
    • Journal Title

      Physical Review D 78

      Pages: 113006-113006

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Anomalous magnetic dipole moments of muon and electron: Progress in theoretical calculation2013

    • Author(s)
      早川雅司
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学東広島キャンパス
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] SU(2)+6-flavorゲージ理論の量子論的力学2012

    • Author(s)
      早川雅司
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      関西学院大学西ノ宮上々原キャンパス
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] SU(2)+6-flavor ゲージ理論の量子論的力学2012

    • Author(s)
      早川雅司、石川健一、尾崎祐介、武田真滋、宇野隼平、山田憲和
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学西宮上ヶ原キャンパス
    • Related Report
      2012 Final Research Report
  • [Presentation] Lattice study on two-color QCD with six flavors of dynamical quarks2012

    • Author(s)
      M.Hayakawa 、 K.-I.Ishjikawa 、Y.Osaki 、 S.Takeda 、 S.Uno 、N.Yamada
    • Organizer
      Lattice 2012
    • Place of Presentation
      Cairns、Australia
    • Related Report
      2012 Final Research Report
  • [Presentation] Updating quantum electro-dynamical contribution to the muon g-22012

    • Author(s)
      M.Hayakawa
    • Organizer
      tau 2012
    • Place of Presentation
      Nagoya
    • Related Report
      2012 Final Research Report
  • [Remarks] 物理学史上最も精密な理論値

    • URL

      http://www.nagoya-u.ac.jp/about-nu/public-relations/researchinfo/upload_images/20120910_sci.pdf

    • Related Report
      2012 Final Research Report
  • [Remarks] 物理学史上、最も精密な理論計算値-電子の磁気能率の大きさを1.3兆分の1の精度で決定-

    • URL

      http://www.nagoya-u.ac.jp/about-nu/public-relations/researchinfo/upload_images/20120910_sci.pdf

    • Related Report
      2012 Annual Research Report

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Published: 2008-04-01   Modified: 2019-07-29  

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