Spin polarized phases in strongly interacting 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 (U) takes place first as the density increases for sufficiently strong coupling constants, and then the spin polarization due to the axial-vector mean field (A) emerges in the region of the finite tensor mean field. This can be understood as making the axial-vector mean-field finite requires a broken chiral symmetry somehow, which is achieved by the finite tensor mean field in the present case. It is also found fromthe symmetry argument that there appear the type I (II) Nambu-Goldstone modes with a linear (quadratic) dispersion in the spin polarized phase with U not equal 0 and A = 0 (U not equal 0 and A not equal 0), although these two phases exhibit the same symmetry breaking pattern.