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arXiv · 0812.1347

Spontaneous magnetization in QCD and non-Fermi-liquid effects

K. Sato·T. Tatsumi
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Abstract

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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K. Sato, T. Tatsumi. 2009-03-09. Spontaneous magnetization in QCD and non-Fermi-liquid effects. https://doi.org/10.1016/j.nuclphysa.2009.05.005

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