High density QCD and Compact stars

(1)强子物质一级相变中混合相的性质。讨论了核物质中的各种相变，如液-气相变、介子凝聚相变和夸克退禁闭相变，它们是“新的物质形式”。它们几乎都是一流的。因此，我们必须考虑强子物质中多组分的一阶相变，其中通常的麦克斯韦结构是不准确的，以得到热力学上定义良好的状态方程(EOS)。吉布斯条件是相平衡的基本条件。然后出现了结构混合相，其中不仅重子数密度不均匀，而且电荷密度也不均匀。我们已经研究了上述三个相变，并试图找出混合相的突出性质。基于密度泛函理论的思想，我们用数值方法精确地确定了满足吉布斯条件的密度分布。在Partic…中更具体地，我们强调了电荷屏蔽对库仑势的重要作用，它可能导致混合相中几何结构的机械不稳定性。在极端情况下，由麦克斯韦结构给出的状态方程被有效地恢复。这些结果影响致密恒星内部的基本过程，也影响致密恒星的整体性质。最近，我们发表了一篇关于这些作品的评论论文。(2)夸克物质的磁性。我们基于最近发现的具有超强磁场的磁星的QCD，研究了夸克物质的磁性，它是致密恒星中观测到的磁场的微观来源。作为重要工作之一，我们在《暗物质》一书中发表了一篇综述论文，介绍了夸克物质中铁磁性的基本概念，并讨论了铁磁性与色超导共存以及密度波的产生与手征对称性恢复的关系。我们利用费米液体理论进一步研究了夸克物质中的磁性。我们用Q-Q相互作用来评估磁化率，其中交换胶子是通过粒子-空穴激发来筛选的。屏蔽效应改善了胶子传播子的红外行为，但横向胶子没有受到静态屏蔽。我们考察了筛选对药敏的影响。我们现在正在准备一篇论文。在铁磁相中，旋转对称性自发破缺，自旋波表现为一种低能激发模式。我们现在正在用螺旋波的方法研究自旋波。这个课题在理论上很有趣，而且对于磁化强度和比热的温度依赖关系也很重要。研究了与手征对称性恢复有关的自旋密度波的可能性。除了通常的标量序参数外，通过考虑伪标量序参数，我们提出了另一种对称性恢复的方案。较少

(1)Properties of the mixed phases in the first order phase transition in hadronic matter. There have been discussed various types of phase transitions, such as liquid-gas transition, kaon condensation and quark deconfinement transition, in nucloear matter as "new form of matter", and. almost all of them are of first order. Thus we must consider the first order phase transitions with multi components in hadronic matter, where the usual Maxwell construction is not accurate to get the thermodynamically well-defined equation of state (EOS). The Gibbs conditions are basic requirement for phase equilibrium. Then the structured mixed phases appears, where not only baryon number density but also charge density are nonuniform. We have studied three phase transitions mentioned above and tried to figure out the outstanding properties of the mixed phase. Based on the idea of the density functional theory we numerically determined the density profiles exactly fulfill the Gibbs conditions. In partic … More ular we have emphasized the important role of the charge screening for the Coulomb potential, which may gives rise to the mechanical instability of the geometrical structures in the mixed phase. In the extreme case the EOS given by the Maxwell construction is effectively recovered. These results affect the elementary processes inside compact stars as well as the bulk properties of compact stars.. Recently we have published a review paper concerning these works. (2)Magnetism of quark matter. We have investigated the magnetic properties of quark matter as a microscopic origin of the magnetic field observed in compact stars, based on QCD, which was stimulated by the recent discoveries of magnetars with superstrong magnetic field. As one of the important works we published a review paper in the book "Dark Matter", where we presented a basic idea about ferromagnetism in quark matter, and then discussed the coexistence of ferromagnetism with color superconductivity and production of density wave in relation to restoration of chiral symmetry. We further studied magnetism in quark matter by the use of Fermi liquid theory. We evaluated susceptibility with q-q interaction, where exchanged gluons are screened by particle-hole excitations. IR behavior of the gluon propagator is improved by the screening effect, but transverse gluons receives no static screening. We examined the screening effect on the susceptibility. We are now preparing a paper. In the ferromagnetic phase rotation symmetry is spontaneously broken, and thereby spin wave is appeared as a low energy excitation mode. We are now studying spin wave by the spiral approach. This subject is theoretically interesting, and moreover important for the temperature dependence of magnetization and specific heat. A possibility of spin density wave has been studied in relation to restoration of chiral symmetry. By considering the pseudoscalar order parameter besides the usual scalar one we presented another scenario for symmetry restoration. Less