QCD中的自发磁化和非费米液体效应
Spontaneous magnetization in QCD and non-Fermi-liquid effects
摘要：
通过对磁化率的计算，讨论了有限温度下夸克物质的磁性。将夸克自能和胶子屏蔽效应的微观计算与费米液体理论相结合，研究了磁化率的温度依赖性。纵向胶子具有由德拜质量给出的静态屏蔽，并且具有$O(T^2)$的标准温度依赖性。由于横向胶子的动力学屏蔽使夸克的自能异常，在磁化率中出现了一个反常的$T^2\ln T$项，这是一种新的非费米液体效应。然后，我们提取的临界（居里）温度，并提出了密度-温度平面上的磁相图。
英文摘要：
Magnetic properties of quark matter at finite temperature are discussed by evaluating the magnetic susceptibility. Combining the microscopic calculation of the self-energy for quarks as well as the screening effects for gluons with Fermi-liquid theory in a consistent way, we study the temperature dependence of the magnetic susceptibility. The longitudinal gluons have the static screening given by the Debye mass, and have a standard temperature dependence of $O(T^2)$. An anomalous $T^2\ln T$ term arises in the magnetic susceptibility as a novel non-Fermi-liquid effect due to the anomalous self-energy for quarks given by the dynamic screening for transverse gluons. We then extract the critical(Curie) temperature and present the magnetic phase diagram on the density-temperature plane.
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