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

Abstract

We consider high density quark matter in the large ${\mathbb{N}}_c$ and ${\mathbb{N}}_f$ limit with ${\mathbb{N}}_f/{\mathbb{N}}_c$ 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.

Comments: 4 pages