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

高温高密度手性转变与核介质中的σ介子

基本信息

批准号：
12640296
负责人：
KUNIHIRO Teiji
金额：
$ 1.22万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2000
资助国家：
日本
起止时间：
2000 至 2001
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640296/
关键词：
Chiral Symmetry QCD Sigma meson Renormalization Group Transport Equations Chiral Transition 運動学的方程式 TDGL

项目摘要

(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.

（1）我们已经表明，核培养基中手性对称性的部分恢复会诱导i = j = 0通道中光谱函数的软化，即σ-米森通道，无论手性对称的线性或非线性表示如何；软化可以解释混乱组的实验数据。手性对称的恢复在非线性手性模型中以4pi-nn顶点表示，在文献中的先前计算中已考虑到。（2）除7R-核反应外，我们已经表明（d， ^3he）和（d，d，t）的反应是探索核能是否有效的（d， ^3he）和（d，d）的反应，因为它们是否有效地探索了核能，因为它们是否有效地探索了核能。描述迷失方向的手性冷凝物（DCC）的等效性是扩散或波动方程类型，我们试图通过应用衍生膨胀来始终如一地推断时间依赖时间的Ginzburg-Landau方程（TDGL）。我们已经确定了由于Landau抑制了微分方程解决方案的扰动序列中熟悉的安全术语而导致的衍生膨胀固有的差异。应用所谓的重新归一化组（RG）方法，我们成功获得了恢复的系数。正在检查所得的演化方程与TDGL有关。（4）应用RG方法，我们给出了一个统一的一般理论，用于从微观中得出动力学和传输方程，包括现场理论，包括现场理论。