Properties of quark matter and the origin of the magnetic field in compact stars

利用一个有效的QCD理论，在费米-液体理论中讨论了夸克物质中可能的铁磁跃迁。我们在温度-密度平面上绘制了磁相图。理论结果表明，相互作用的筛选效应在磁化率中产生了一种新的非费米-液体效应。研究了致密恒星中强子-夸克跃迁的性质。在引力波的光谱中提出了相变的特征。讨论了手性跃迁后非均匀相的出现，并提出了一个新的理论框架来适当地考虑对称破缺效应。

Using an effective theory of QCD, possible ferromagnetic transition is discussed in quark matter within the Fermi-liquid theory. We draw the magnetic phase diagram in the temperature-density plane. As a theoretical consequence, it is shown that the screening effect for the interaction produces a novel non-Fermi-liquid effect in the magnetic susceptibility. Hadron-quark transition is studied in compact stars to reveal the properties. Signatures of the phase transition are suggested in the spectra of the gravitational waves. Emergence of an inhomogeneous phase is discussed following the chiral transition and a new theoretical framework is proposed to properly take into account the symmetry breaking effect.