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Phenomenology of Chiral Transition at High Temperature and Density

Research Project

Project/Area Number 05804014
Research Category

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

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

Principal Investigator

KUNIHIRO Teiji  Ryukoku Univ.Fac.of Science & Tech.Associate Prof., 理工学部, 助教授 (20153314)

Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1994: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1993: ¥500,000 (Direct Cost: ¥500,000)
KeywordsQCD / Chiral Symmetry / Quark-Gluon Plasma / low-energy effective Theory / High-Energy Heavy-Ion Collision / クォーク・グルーオンプラズマ / 真空の相転移 / 重イオン反応 / シグマ中間子
Research Abstract

In the first year, we developed a new cut-off scheme for the Nambu-Jona-Lasinio (NJL) model. The scheme is based on the dispersion relation and applicable to the finite temperature (T) and density (rho) cases. We also give a foundation to the mean-field theory at finite temperature, on the basis of an inequality due to Feynman. We calculated the width of the sigma meson in the medium at finite T and rho in various kinematical conditions.
In the next (final) year, we proposed several experiments to see the possible mass shift of the sigma meson in the medium at finite density. This is based on the observation that scalar and vector fields can mix at finite density. We also proposed to detect 2pi^0 to see the sigma meson.
We examined the reason why the time-dependent phenomena in the superconductors may be described in the diffusive time-dependent Ginzburug equation in contrast with the chiral transition. This is due to the fact that the effective spatial dimension of the superconductors as described the BCS theory is one not three as in the NJL model. We also clarified that the saturation properties hence thestability of nuclei is due to chiral symmetry of QCD.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (10 results)

All Other

All Publications (10 results)

  • [Publications] T. Hatsuda and T. Kunihiro: "QCD Phenomenology based on a chiral effective Lagrangian" Phys. Rep.247. 221-367 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T. Kunihiro: "Chiral Symmetry and Scalar Meson in Hadron and Nuclear Physics" Prog. Theor. Phys. Suppl.予定. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T. Kunihiro: "Chiral Transition in QCD and Its Relevance to High‐Energy Heavy‐Ion Collisions" “Hadrons and Nuclei from QCD" ed. by K. Fujii et al (World Seientific). 38-46 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 国広悌二: "Possible Production of the Sigma Meson in Nuclei" Proceedings of RCNP Symposium on Quark Nuclear Physics with GeV Cooler Ring Protons and Beyond. (予定). (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Hatsuda & T.Kunihiro: "QCD Phenomenology based on a chiral effective Lagrangian" Phys.Rep. 247. 221-367 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Kunihiro: "Chiral Symmetry and Scalar Meson in Hadron and Nuclear Physics" Prog.Theor.Phys.Suppl.(to be published). (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Kunihiro: "Chiral Transition in QCD and Its Relevance to High-Energy Heavy-Ion Collisions" "Hadrons and Nucleifrorn QCD", ed, by K.Fujii et al (World-Scientific). 38-46 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Hatsuda & T.Kunihiro: "QCD Phenomenology based on a chiral effective Lagrangian" Phys.Rep.247. 221-367 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Kunihiro: "Chiral Symmetry and Scalar Meson in Hadron and Nuclear physics" Prog.Theor.Phys.Suppl.(予定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Kunihiro: "Chiral Transition in QCD and Its Relevance to High-Energy Heavy-Ion Collisione" “Hadrons and Nuclei trom QCD"ed.by K.Fujii et al (World Scientific). 38-46 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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