Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-12-08
Nucl.Phys.A826:74-100,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 6 figures; Secs. 1 and 5 have been revised
Scientific paper
10.1016/j.nuclphysa.2009.05.005
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.
Sato Kachishige
Tatsumi Toshitaka
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