Color Ferromagnetic States and Quantum Hall States of Gluons in Quark Matter

Abstract

We discuss a possibility of the presence of a stable color ferromagnetic state of quark matter in SU(2) gauge theory. Although the state has been known to have unstable modes, we show that the unstable modes form quantum Hall states, in which the instability disappears. The state arises between the hadronic state and the color superconducting state when the density of quarks is varied.