Spontaneous magnetization in QCD and non-Fermi-liquid effects

Understand

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.