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Perturbative and Non-Perturbative Analyses of Strong Coupling Field Theories

强耦合场论的微扰和非微扰分析

基本信息

批准号：
13135216
负责人：
NAKAMURA Atsushi
金额：
$ 14.72万
依托单位：
Hiroshima University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research on Priority Areas
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2006
项目状态：
已结题

项目摘要

Recently, there have been many new and/or precise experiments of hadrons, which consist of quarks and gluons and interact strongly. Based on QCD (Quantum Chromo-Dynamics), which is a strong coupling field theory, our group has pursued the perturbative and non-perturbative studies.QCD is expected to have a rich phase structure by changing the temperature and/or density. Indeed high energy heavy ion collision experiments have been done to find such states, and a new state of matter was found at RHIC. Now it is possible to perform a lattice QCD numerical simulation including pair-creating and annihilation of light quarks in the vacuum, i. e. a calculation to simulate a realistic world, and we performed and studied such QCD simulations. Also many experiments including hadron spin measurements were done, and we can apply QCD at small x regions and diffractive scatterings.In order to understand the mechanism of the confinement of quarks, we calculated the instantaneous part of quark potential, i. e., color Coulomb potential based on Gribov-Zwanziger scenario. The non-confinement system discovered at RHIC is not a free gas of quarks and gluons, but strongly interacting system; it is argued that it is a perfect fluid. To check this possibility based on QCD, we calculate the transport coefficients of gluonic matter. We apply also a new method which is valid in a wide range of Q_T to Drell-Yan reaction of polarized protons, and calculated the cross-sections systematically. We analyzed also quark propagators in the confinement and deconfinement phases, and studied its pole structure.

最近，有许多新的和/或精确的强子实验，它由夸克和胶子组成，并强烈相互作用。基于强耦合场论QCD（QuantumChromo-Dynamics），本课题组进行了微扰和非微扰研究，期望通过改变温度和密度来获得丰富的相结构。事实上，高能重离子碰撞实验已经完成了寻找这样的状态，并在RHIC发现了一种新的物质状态。现在我们可以进行格点QCD数值模拟，包括真空中轻夸克的对产生和湮灭，即：e.一个计算来模拟一个现实的世界，我们执行和研究这样的QCD模拟。为了更好地理解夸克禁闭的机制，我们计算了夸克势的瞬时部分，也就是夸克的自旋，并在此基础上对夸克势进行了进一步的研究。例如，基于Gribov-Zwanziger方案的色库仑势。在RHIC上发现的非禁闭系统不是夸克和胶子的自由气体，而是强相互作用系统，有人认为它是一种理想流体。为了验证这种可能性，我们基于QCD计算了胶子物质的输运系数。我们还将一种适用于宽Q_T范围的新方法应用于极化质子的Drell-Yan反应，系统地计算了反应截面。我们还分析了夸克传播子在禁闭和解除禁闭阶段的情况，并研究了它的极结构。