Spin Polarized Phases in Quark Matter: Interplay between Axial-vector and Tensor Mean Fields

The spontaneous spin polarization of strongly interacting matter due to axial-vector and tensor
type interactions is studied at zero temperature and high baryon-number densities. We start with the
mean- field Lagrangian for the axial-vector and tensor interaction channels, and find in the chiral
limit that the spin polarization due to the tensor mean field  takes place first as the density
increases for sufficiently strong coupling constants, and then that due to the axial-vector mean field
emerges in the region of nite tensor mean field.