Phenomenology of Chiral Transition at High Temperature and Density

高温高密度下手性转变的现象学

• 批准号: 05804014
• 负责人: KUNIHIRO Teiji
• 金额: $ 0.7万
• 依托单位: Faculty of Science and Technology, Ryukoku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05804014/
• 关键词: QCD; 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

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.

第一年，我们为 Nambu-Jona-Lasinio (NJL) 模型开发了新的截止方案。该方案基于色散关系，适用于有限温度 (T) 和密度 (rho) 情况。我们还根据费曼不等式为有限温度下的平均场理论奠定了基础。我们计算了在各种运动学条件下有限 T 和 rho 介质中西格玛介子的宽度。在接下来的（最后）一年中，我们提出了几个实验来观察有限密度介质中西格玛介子可能的质量移动。这是基于标量场和矢量场可以以有限密度混合的观察。我们还提出检测 2pi^0 来观察西格玛介子。我们研究了超导体中的时间相关现象可以用扩散时间相关的 Ginzburug 方程来描述的原因，而不是手性跃迁。这是因为 BCS 理论描述的超导体的有效空间维度是 1，而不是 NJL 模型中的 3。我们还阐明，饱和特性以及原子核的稳定性是由于 QCD 的手性对称性造成的。

项目成果

T. Kunihiro: "Chiral Symmetry and Scalar Meson in Hadron and Nuclear Physics" Prog. Theor. Phys. Suppl.予定. (1995)

T. Kunihiro：“强子和核物理中的手性对称性和标量介子”计划。

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)

T.Kunihiro：“QCD 中的手性转变及其与高能重离子碰撞的相关性”“强子和核 QCD”，由 K.Fujii 等人编着（世界科学出版社）。

T.Hatsuda & T.Kunihiro: "QCD Phenomenology based on a chiral effective Lagrangian" Phys.Rep. 247. 221-367 (1994)

初田

T.Kunihiro: "Chiral Symmetry and Scalar Meson in Hadron and Nuclear physics" Prog.Theor.Phys.Suppl.(予定). (1995)

T.Kunihiro：“强子和核物理中的手性对称性和标量介子”Prog.Theor.Phys.Suppl.（计划）（1995）。

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)

T.Kunihiro：“QCD 中的手性跃迁及其与高能重离子碰撞的相关性”“Hadrons and Nuclei trom QCD”，作者：K.Fujii 等人 (World Scientific) 38-46 (1994)。