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Monte-Carlo Study of Quark Confinement in QCD

Research Project

Project/Area Number 04640289
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 核・宇宙線・素粒子
Research InstitutionFaculty of Science, Kanazawa University

Principal Investigator

SUZUKI Tsuneo  Kanazawa University, Physics, Professor, 理学部, 教授 (60019502)

Co-Investigator(Kenkyū-buntansha) MATSUBARA Yoshimi  Nanao Junior College, Management, Professor, 教授 (10209603)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1993: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1992: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsQuark confinement / Monopole / Monte-Carlo Simulation / Lattice QCD / Dual transformation / Infrared effective theory of QCD / Finite-temperature phase transition / カラーの閉じ込め / モノポール / 格子QCD / モンテ・カルロ,シミュレーション / アーベリアン射影
Research Abstract

(Monte-Carlo simulations)
1992 : 1 ) Abelian projection was performed in the lattice SU(2) QCD.Using vacuum configurations and lattice Schwinger-Dyson equations, we have fixed effective U(1) action in terms of U(1) link fields. But we found we need more and more terms when we go to larger beta.
2)The difference of timelike and spacelike monopole currents is shown to be a good order parameter of finite-temperature full SU(2) QCD.
1993 : 1) Efective U(1) action is determined compactly in terms of monopole currents using Swendsen's method. We found monopole condensation is shwon to happen also in the confinement phase of SU(2) QCD.
2)The string tension is reproduced by monopole contribution alone and the Coulomb term is from photons alone after the abelian projection in the maximally abelian gauge.
3)The confinement vacuum is studied evaluating correlations between a Wilson loop and monopole currents and another Wilson loop. The vacuum is seen to be around the border between type-1 and type-2 super (magnetic) conductor.
(Analytic study of infrared effective QCD)
1992 : The analysis is extended to the static baryon case. We got the potential for the general configuration of the three quarks. It is approximately determined by the linear length of the strings between the sources.
1993 : We evaluated spin and velocity dependent baryon potential in the simplest configuration case.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (25 results)

All Other

All Publications (25 results)

  • [Publications] S.Hioki: "Monopole Condensation in Momentum Space in SU(2) Lattice Gauge Theory" Phys.Lett.B. 285. 343 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Monden: "Finite Temperature Phase Transition in a Dual Abelian Effective Theory of QCD" Phys.Lett.B. 294. 100-105 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kamizawa: "A Static Baryon in a Dual Abelian Effective Theory of QCD" Nucl.Phys.B. 389. 563-573 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Suzuki: "Monopoles and confinement" Nucl.Phys.B(Proc.Suppl.). 30. 176-183 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Y.Matsubara: "The(dual)Meissner effect in SU(2) and SU(3) QCD" Nucl.Phys.B(Proc.Suppl.). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Shiba: "Monopole Condensation and Confinement in SU(2) QCD" Nucl.Phys.B(Proc.Suppl.). (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Hioki, S.Kitahara, Y.Matsubara, O.Miyamura, S.Ohno and T.Suzuki: "Monopole Condensation in Momentum Space in SU(2) Lattice Gauge Theory" Phys.Lett. 285B. 343 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Monden, T.Suzuki and Y.Matsubara: "Finite Temperatute Phase Transition in a Dual Abelian Effective Theory of QCD" Phys.Lett. 294B. 100-105 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kamizawa, Y.Matsubara, H.Shiba and T.Suzuki: "A Static Baryon in a Dual Abelian Effective Theory of QCD" Nucl.Phys.B389. 563-573 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Ohno, S.Ilyar, S.Kitahara, Y.Matsubara, H.Ohkubo and T.Suzuki: "Can Monopoles alone reproduce the string tension also in SU(2) lattice QCD?" Nucl.Phys.B(Proc.Suppl.)30. 561-564 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Suzuki: "Monopoles and confinement" Nucl.Phys.B(Proc.Suppl.)30. 176-183 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Suzuki: "Monopole Condensaton and Confinement in QCD" Proceeding of International School-Seminar '93-Hadrons and Nuclei from QCD. (World Scientific, 1994).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Y.Matsubara, S.Ejiri and T.Suzuki: "The (dual) Meissner effect in SU(2) and SU(3) QCD" Nucl.Phys.B(Proc.Suppl.). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Shiba and T.Suzuki: "Monopole Condensation and Confinement in SU(2) QCD" Ncul.Phys.B(Proc.Suppl.). (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kamizawa: "A Static Baryon in a Dual Abelian Effective Theory of QCD" Nucl.Phys.B. 389. 563-573 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Ohno: "Can Monopoles alone reproduce the string tension also in SU(2)lattice QCD?" Nucl.Phys.B.(Proc.Suppl.). 30. 561-564 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Suzuki: "Monopoles and confinement" 30. 176-183 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Suzuki: "Monopole Condensation and Confinement in QCD" Proceeding of International School-Seminar '93-Hadrons and Nuclei from QCD-(World Scientific,1994). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Y.Matsubara: "The(dual)Meissner effect in SU(2) and SU(3)QCD" Nucl.Phys.B(Proc.Suppl.). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Shiba: "Monopole Condensation and Confinement in SU(2)QCD" Nucl.Phys.B(Proc.Suppl.). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Monden: "Finite Temperature Phase Transition in a Dual Abelian Effective Theory of QCD" Phys.Letters.294B. 100-105 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] S.Kamizawa: "A Static Baryon in a Dual Abelian Effective Theory of QCD" Nucl.Phys.B389. 563-573 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] S.Ohno: "Can Monopoles alone reproduce the string tension also in SU(2) lattice QCD?" Nucl.Phys.B(Proc.Suppl.). 30. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] S.Kitahara: "An order parameter of the confinement-deconfiuement transition in the preseuce of dynamical fermious" Nucl.Phyo.B(Proc.Suppl.). 30. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] T.Suzuki: "Monopoles and Confinement" Nucl.Phyo.B(Proc.Suppl.). 30. (1993)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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