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Theoretical Study of the Quark-Gluon Plasma and Ultrarerativistic Nudeus-Nudeus Collisions

夸克-胶子等离子体和超相对论核-核碰撞的理论研究

基本信息

批准号：
13440067
负责人：
MATSUI Tetsuo
金额：
$ 4.99万
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 (B)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2004
项目状态：
已结题

项目摘要

In this research project, we have studied various theoretical problems related to the properties of matter under extreme physical conditions in temperatures and baryon number densities, ranging from the nature of the QCD phase transitions to the signals of the new phase of matter (the quark-gluon plasma) expected to be formed in the course of ultra-relativistic nucleus-nucleus collisions.We have computed the topological susceptibilities in terms of NJL model supplemented with 't Hooft interaction and obtained a results very similar to the lattice QCD results. We also studied the nature of the chiral phase transition and clarified the role of the hydrodynamic mode near the critical end point (CEP) in the QCD phase diagram on temperature v.s. baryon chemical potential plane as well as in the dynamical scaling behavior. The absorption of high energy charmonium traversing in random color medium was studied in order to access the utility of charmonium as a probe of the quark-gluon plasma and we have shown that the high-energy behavior is qualitatively different from the naive nuclear absorption model.In addition to these problems, we obtained many important results in related theoretical problems such as connection of Casimir effect to finite temperature problem, topological model of baryons, spontaneous symmetry breaking in light-front quantization method and the application of the variational method in quantum field theory to the dynamics of Base-Einstein condensates.

在这个研究项目中，我们研究了与极端物理条件下物质在温度和重子数密度下的性质有关的各种理论问题，从QCD相变的本质到在超相对论核-核碰撞过程中有望形成的新相物质(夸克-胶子等离子体)的信号。我们根据补充了‘t Hooft相互作用的NJL模型计算了拓扑极化率，得到了与晶格QCD结果非常相似的结果。我们还研究了手性相变的性质，阐明了QCD相图中临界点(CEP)附近的流体动力学模式在温度-重子化学势平面上的作用以及在动力学标度行为中的作用。研究了高能碳素在随机色介质中的吸收，以考察高能碳素作为夸克-胶子等离子体探针的有效性。我们发现高能行为与简单的核吸收模型有着本质的不同。此外，我们还在Casimir效应与有限温度问题的联系、重子的拓扑模型、光前量子化方法中的自发对称性破缺以及将量子场论中的变分方法应用于基-爱因斯坦凝聚体动力学等相关理论问题上获得了许多重要的结果。