Dynamical Structure of the Quark-Gluon Plasma based on Lattice QCD with Bayesian Statistics

基于贝叶斯统计的格子量子色动力学的夸克-胶子等离子体的动力学结构

基本信息

批准号：
15540254
负责人：
HATSUDA Tetsuo
金额：
$ 2.37万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

项目摘要

Inside the quark-gluon plasma, the quark-anti-quark potential becomes weak due to the thermal Debye screening. As a result, the bound states composed of heavy-quarks melt down above certain critical temperature. However, the precise relation between the melting temperature and the critical temperature of the confinement-deconfinement phase transition.We have carried out lattice QCD simulations to answer this problem and have found that heavy charmonium such as J/Psi can survive even up to 1.7 times the critical temperature. The large volume simulations as well as the use of the Bayesian statistics play essential role in this study.In the interior of the neutron stars and quark stars, there may exist quark matter composed of deconfined quarks. Since there is always an attractive channel in the quark-quark interaction at the Fermi surface, quark matter is in the color superconducting state.We have carried our Ginzburg-Landau analysis of the phase transition between the color superconducting state and the normal state and found that the phase transition is driven to first order due to the thermal fluctuation of the gluons.We have applied the maximum entropy method to analyses the excited baryon spectra calculated on the lattice. It was found that the method can extract the position of the positive and negative excited states of the nucleon correctly. Also, the method is powerful enough to separate the physical spectra and the unphysical spectra due to lattice discretization.

在Quark-Gluon等离子体内部，由于热Debye筛选，夸克 - 雄性夸克电势变得薄弱。结果，由重量夸克组成的结合状态融化了一定临界温度。但是，熔化温度与禁闭剂量阶段过渡的临界温度之间的精确关系。我们进行了晶格QCD模拟来解决此问题，并发现诸如J/PSI之类的重型炭子甚至可以生存1.7次。临界温度。大量的模拟以及贝叶斯统计的使用在这项研究中起着至关重要的作用。由于在费米表面的夸克 - 夸克相互作用中总是有一个有吸引力的通道，因此夸克物质处于颜色超导状态。我们对颜色超导状态与正常状态之间的相变并发现了我们的Ginzburg-Landau分析并发现由于gl子的热波动，我们的相变驱动到一阶。我们已经应用了最大的熵方法来分析在晶格上计算出的激发的巴里子光谱。发现该方法可以正确提取核子的正和负激发态的位置。同样，该方法足以将由于晶格离散化引起的物理光谱和非物理光谱分开。