Spontaneous magnetization in QCD and non-Fermi-liquid effects

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.

14 pages, 6 figures; Secs. 1 and 5 have been revised

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Cited by in corpus (8)

• Spin polarized states in neutron matter at a strong magnetic field
• Non-Fermi liquid corrections to the neutrino mean free path in dense quark matter
• Next to leading order non Fermi liquid corrections to the neutrino emissivity and cooling of the neutron star
• Spin susceptibility of degenerate quark matter
• Astrophysical aspects of neutrino dynamics in ultra-degenerate quark gluon plasma
• Symmetric and anti-symmetric Landau parameters and magnetic properties of dense quark matter
• Magnetic aspects of QCD at finite density and temperature
• Magnetic aspects of QCD and compact stars