Ferromagnetic properties of quark matter -an origin of magnetic field in compact stars-

Abstract

Magnetic properties of quark matter are studied within the Landau Fermi-liquid theory, and magnetic phase diagram of QCD is presented in the density-temperature plane. The screening effect for gluon propagator is emphasized to see the characteristic behavior of the magnetic susceptibility; novel non-Fermi-liquid behavior is observed at finite temperature. Some implications on the origin of the magnetic field in compact stars, especially magnetars, are briefly discussed.

to appear in Proc. of CSQCD II