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Novel Development of Research of the Standard Model on the Lattice using the Massively Parallel Computer CP-PACS

Research Project

Project/Area Number 12304011
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionUniversity of Tsukuba

Principal Investigator

IWASAKI Yoichi  INSTITUTE OF PHYSICS PROFESSOR, 物理学系, 教授 (50027348)

Co-Investigator(Kenkyū-buntansha) KANAYA Kazuyuki  INSTITUTE OF PHYSICS PROFESSOR, 物理学系, 教授 (80214443)
AOKI Sinya  INSTITUTE OF PHYSICS PROFESSOR, 物理学系, 教授 (30192454)
UKAWA Ajura  INSTITUTE OF PHYSICS PROFESSOR, 物理学系・計算物理学研究センター, 教授 (10143538)
ISHIZUKA Naruhito  INSTITUTE OF PHYSICS ASSOCIATE PROFESSOR, 物理学系・計算物理学研究センター, 助教授 (70251030)
YOSHIE Tomoteru  INSTITUTE OF PHYSICS ASSOCIATE PROFESSOR, 物理学系・計算物理学研究センター, 助教授 (40183991)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥43,900,000 (Direct Cost: ¥37,600,000、Indirect Cost: ¥6,300,000)
Fiscal Year 2002: ¥14,300,000 (Direct Cost: ¥11,000,000、Indirect Cost: ¥3,300,000)
Fiscal Year 2001: ¥13,000,000 (Direct Cost: ¥10,000,000、Indirect Cost: ¥3,000,000)
Fiscal Year 2000: ¥16,600,000 (Direct Cost: ¥16,600,000)
KeywordsSTANDARD MODEL / LATTICE QCD / NUMERICAL SIMULATION / CP VIOLATION / B PARAMETER / B MESON / DOMAIN WALL FERMION / CHARMONIUM / 数値シュミレーション / クォークグルオンプラズマ
Research Abstract

This work aimed to elucidate the nature of strong interactions based on lattice QCD using the massively parallel computer CP-PACS developed at University of Tsukuba. The main results achieved over the three year period of the present Grant-in-aid are as follows :
1. Calculation of weak matrix elements using the domain wall fermion formalism.
Taking advantage of the good chiral property of the domain wall fermion action, the kaon B parameter was evaluated using RG-improved gauge action at 1/a=2 GeV and 3GeV. The results showed only small scaling violations, and using perturbative renormalization factor, we obtained B_k(2G_eV)=0.5746(61)(191), to be compared with the previous best estimate using the KS formalism : B_k(2G_eV)=0.628(41).
Another problem addressed is K→π π decay amplitudes. Using chiral perturbation theory formuli which relates K→π π to K→π amplitudes, we found the following : I) The real part of the I=2 amplitude is consistent with experiment, while that of the I=0 amplitude … More is only about half of the physical one. Thus theΔI=0 = 1/2 enhancement is only half of experiment. Ii) The imaginary Part exhibits a similar feature that the I=0 amplitude is too small ; consequently the direct CP violation parameter e'/e=-1x10^<-4> is negative and too small. The origin of these unsatisfactory results needs to be clarified.
2. Lattice QCD on anisotropic lattices
Space-time anisotropic lattices are useful in a variety of contexts including calculations of heavy quark hadrons and finite-temperature QCD. Charmonium spectroscopy and equation of state studies were made using quenched anisotropic lattices. To advance the use of anisotropic lattices in full QCD, first attempt to determine the anisotropy parameters of the action was made for two flavor full QCD.
3. Small quark mass and chiral behavior
Chiral estrapolation is the most uncertain of the extrapolations in today's lattice QCD calculations. Simulations reducing the quark mass as small as m_n/m_p=0.4 were attempted at a coarse lattice spacing of 1/a=1GeV. Compared to simulations down to m_n/m_p=0.6, physical predictions in the chiral limit differ by about 10%. The HMC algorithm also develop an instability whose origin was investigated.
4. Preparations toward Nf=2+1 full QCD simulations
Truly realistic simulations of QCD requires including dynamical effects of strange quark. We showed that the polynomial HMC algorithm is suitable for this purpose. To carry out a fully O(a) improved simulation for Nf=2+1 using the RG-improved action, the clover coefficient for Nf=3 theory was determined. The results will be used to carry out Nf=2+1 full QCD simulations which incorporates dynamical sea quark effects of up, down and strange quark. Less

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] A.Ali Khan et al.: "Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice"Phys. Rev. D. 65. 054505 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Ali Khan et al.: "Kaon B parameter from quenched domain-wall QCD"Phys. Rev. D. 64. 114506 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J.Noaki et al.: "Calculation of K→ππ decay amplitudes from K→π matrix elements in quenched domain-wall QCD"Nucl. Phys. B (Proc. Suppl.). 106. 332-333 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Okamoto et al.: "Charmonium spectrum from quenched QCD on anisotropic lattices"Phys. Rev. D. 65. 094508 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Namekawa et al.: "Exploring QCD at small sea quark masses with improved Wilson-type quarks"Nucl. Phys. B (Proc. Suppl.). (to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S.Aoki et al.: "Non-Perturbative Determination of $c_{\rm SW}$ in Three-flavor Dynamical QCD"Nucl. Phys. B (Proc. Suppl.). (to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Ali Khan et al: "CP-PACS Collaboration, Chiral properties of domain-wall quarks in quenched QCD"Phys. Rev.. D63. 114504 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Ali Khan et al: "CP-PACS Collaboration : Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action"Phys. Rev.. D63. 034502 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Ali Khan et al: "CP-PACS Collaboration : Decay constants of B and D mesons from improved relativistic lattice QCD with two flavors of sea quarks"Phys. Rev.. D64. 034505 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Ali Khan et al: "CP-PACS Collaboration, Equation of state in finite-temperature QCD with two flavors of improved Wilson quarks"Phys. Rev.. D64. 074510 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Namekawa et al: "CP-PACS Collaboration, Thermodynamics of SU(3) gauge theory on anisotropic lattices"Phys. Rev.. D64. 074507 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Ali Khan et al: "CP-PACS Collaboration : Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice"Phys. Rev.. D65. 054505 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Ali Khan et al: "CP-PACS Collaboration : Kaon B parameter from quenched domain-wall QCD"Phys. Rev.. D64. 114506 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Yamazaki et al: "CP-PACS Collaboration : Spectral function and excited states in lattice QCD with maximum entropy method"Phys. Rev.. D65. 014501 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A. Ali Khan et al: "CP-PACS Collaboration : Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks"Phys. Rev.. D64. 114501 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Okamoto et al: "CP-PACS Collaboration : Charmonium Spectrum from Quenehed Anisotropic Lattice QCD"Phys. Rev.. D65. 094508 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S. Aoki et al: "CP-PACS Collaboration : I=2 Pion Scattering Phase Shift with Wilson Fermions"Phys. Rev.. D67. 014502 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.Ali Khan et al.: "Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice"Phys. Rev. D. 65. 054505 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Ali Khan et al.: "Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks"Phys. Rev. D. 64. 114501 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Aoki et al.: "I=2 Pion Scattering Phase Shift with Wilson Fermions"Phys. Rev. D. 65. 094508 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Umeda et al.: "Dynamical fermions on anisotropic lattices"Nucl. Phys. B (Proc. Suppl.). (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] y.Namekawa et al.: "Exploring QCD at small sea quark masses with improved Wilson-type quarks"Nucl. Phys. B (Proc. Suppl.). (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Aoki et al.: "Non-Perturbative Determination of c_SW in Three-flavor Dynamical QCD"Nucl. Phys. B (Proc. Suppl.). (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] A.Ali Khan et al.: "Kaon B parameter from quenched domain-wall QCD"Phys.Rev.D. 64. 114-506 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Aoki et al.: "Chiral property of domain-wall fermion from eigenvalues of 4D Wilson-Dirac Operator"Nucl.Phys.B(Proc.Suppl.). 106. 718-720 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Aoki et al.: "Maximum entropy analysis of hadron spectral functions and excited states in quenched lattice QCD"Nucl.Phys.B(Proc.Suppl.). 106. 233-235 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Aoki et al.: "Non-perturbative renormalization for a renormalization group improved gauge action"Nucl.Phys.B(Proc.Suppl.). 106. 780-782 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Okamoto et al.: "Charmonium spectrum from quenched QCD on anisotropic lattices"Phys.Rev.D. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] J.Naoki et al.: "Calculation of K→ππ decay amplitudes from K→π matrix elements in quenched domain-wall QCD"Nucl.Phys.B(Proc.Suppl.). 106. 332-33_ (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] CP-PACS Collaboration,A.Ali Khan et al: "Dynamical Quark Effects on Light Quark Masses"Physical Review Letters. 85. 4674-4677 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] CP-PACS Collaboration,T.Manke et al: "Sea Quark Effects on Quarkonia"Physical Review D. 62. 114508 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] CP-PACS Collaboration,A.Ali Khan et al: "Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark actio"Physical Review D. 63. 034502 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] CP-PACS Collaboration,A.Ali Khan et al: "Calculation of K→π matrix elements in quenched domain-wall QCD"Nuclear Physics B (Proc.Suppl.). 94. 283-286 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] CP-PACS Collaboration,A.Ali Khan et al: "Quenched charmonium spectrum on anisotropic lattices"Nuclear Physics B (Proc.Suppl.). 94. 325-328 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] CP-PACS Collaboration,A.Ali Khan et al: "Kaon B parameter from quenched domain-wall QCD"Nuclear Physics B (Proc.Suppl.). 94. 287-290 (2001)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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