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Chiral transition at high temperature and density and the σ-meson in nuclear medium

Research Project

Project/Area Number 12640296
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

KUNIHIRO Teiji  Yukawa Institute for Theoretical Physic, Kyoto University, Professor, 基礎物理学研究所, 教授 (20153314)

Project Period (FY) 2000 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsChiral Symmetry / QCD / Sigma meson / Renormalization Group / Transport Equations / Chiral Transition / 運動学的方程式 / TDGL
Research Abstract

(1) We have shown that partial restoration of chiral symmetry in nuclear medium induces a softening in the spectral function in the I = J = 0 channel, I.e., the σ-meson channel, irrespective of the linear or nonlinear representation of chiral symmetry; the softening can account for the experimental data by CHAOS group. The restoration of chiral symmetry is represented by a 4pi-NN vertex in the nonlinear chiral model that has been taken into account in the previous calculations in the literature.
(2) Apart from 7r-nucleus reactions, we have shown (d, ^3He) and (d, t) reactions are interesting as a probe to explore partial restoration in heavy nuclei because they may produce the σ-mesic nuclei.
(3) To examine whether the effective equation to describe the disoriented chiral condensate (DCC) is diffusion- or wave-equation type, we tried to deduce the time-dependent Ginzburg-Landau equation (TDGL) consistently by applying the derivative expansion. We have identified the divergence inherent in the derivative expansion due to the Landau damping a secular term familiar in the perturbation series of solutions of differential equations. Applying the so called the renormalization-group (RG) method, we have successfully obtained the resumed coefficients. It is underway to examine the resultant evolution equation has to do with TDGL.
(4)Applying the RG method, we have given a unified and general theory for deriving kinetic and transport equations from the microscopic, equations including field theories.

Report

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

    (9 results)

All Other

All Publications (9 results)

  • [Publications] D.Jido: "In medium ππ correlation induced by partial restoration of chiral symmetry"Phys. Rev. (1). 63. 011901-1-011901-5 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Hata: "Renormalization Group Method Applied to Kinetic Equations : roles of initial values and times"Ann. Phys.. (印刷中). (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Tamae et al.編: "Physics with GeV Electrons and Gamma Rays, Sendai"University Academic Press. INC.. 204 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] D. Jido, T. Hatsuda and T. Kunihiro: "In medium ππ correlation induced by partial restoration of chiral symmetry"Phys. Rev.. D63. 011901 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Hatta and T. Kunihiro: "Renormalization Group Method applied to Kinetic Equations; roles of initial values and time"Ann. Phys.. 5. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Kitagawa, T. Koide, T. Kunihiro and Y. Nemoto: "Precursor of Color Superconductivity in hot quark matter"Phys. Rev. D. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] D.Jido, T.Hatsuda, T.kunihiro: "In Medium Π-П Correlation induced by Partial Restoration of Chiral Symmetry"Phys. Rev. D. 63. 011901-1-011901-5 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Hatta, T.Kunihiro: "Renormalization Group Method Applied to kinetic Equations : roles of initial values and time"Ann. Phys.. 297. (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] D.Jido,T.Hatsuda and T.Kunihiro: "In medium ππ Correlation induced by partial restoration of chiral symmetry"Phys.Rev.D. 63. 011901-1,011901-5 (2000)

    • Related Report
      2000 Annual Research Report

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

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