Possible Ferromagnetism in the Large N(c) and N(f) limit of quark matter

Abstract

We consider high density quark matter in the large $\N_c$ and $\N_f$ limit with $\N_f/\N_c$ fixed. In this limit, the color superconductivity disappears. We discuss that the chiral density wave state is also absent in the limit, if we assume the existence of the non-perturbative magnetic screening effect as indicated by recent lattice study. We argue that ferromagnetism can become a candidate for the ground state if quarks are massive.