Spin polarization and chiral symmetry breaking at finite density

Abstract

We investigate the possibility of the spin polarization of quark matter at zero temperature and moderate baryon density.The Nambu-Jona-Lasinio (NJL) model including interactions in vector and axial-vector channel (coupling constant $G_2$) as well as scalar and pseudoscalar channel (coupling constant $G_1$) is used, and the self consistent equations for the spin polarization and chiral condensate are solved numerically in the framework of the Hartree approximation. Numerical calculations show that in the one flavor model the spin polarization is possible at finite density if the ratio $G_2/G_1$ is larger than O(1).We find that the interplay between the spin polarization and the chiral symmetry plays an important role.If the chemical potential of quarks reaches a certain finite value, the spin polarization begins to occur because the quark still has relatively large dynamical mass, which is generated by spontaneous chiral symmetry breaking.On the other hand, when the spin polarization occurs, it operates to lower the dynamical quark mass a little.If one increases the chemical potential furthermore, the spin polarization becomes weaker and finally disappears because the dynamical quark mass is reduced by restoring gradually the chiral symmetry.

18pages, 7 figures

Cited by in corpus (16)

• Spin Polarization versus Color-Flavor-Locking in High Density Quark Matter
• Spin polarization and color superconductivity in the Nambu--Jona-Lasinio model at finite temperature
• Spontaneous magnetization under a pseudovector interaction between quarks in high density quark matter
• Hybrid stars from the NJL model with a tensor interaction
• Spontaneous Spin Polarization due to Tensor Selfenergies in Quark Matter
• Interplay between Spin Polarization and Color Superconductivity in High Density Quark Matter
• Spin polarized phases in strongly interacting matter: interplay between axial-vector and tensor mean fields
• Non-uniform chiral and 2SC color superconducting phases, taking into account the non-zero current quark mass
• Modified dilepton production rate from charged pion-pair annihilation in the inhomogeneous chiral condensed phase
• Spin polarizations under a pseudovector interaction between quarks with the Kobayashi-Maskawa-'t Hooft term in high density quark matter
• Spin Polarization and Chiral Condensation in 2+1 flavor Nambu-Jona-Lasinio model at finite temperature and baryon chemical potential
• Non-zero tensor condensates in cold quark matter within the three-flavor Nambu-Jona-Lasinio model with the Kobayashi-Maskawa-'t Hooft interaction
• Hybrid stars from a three-flavor NJL model with two kinds of tensor condensates
• A possibility of existence of a pseudovector-type quark-antiquark condensate in the quark matter and Nambu-Goldstone modes on that condensate in the Nambu-Jona-Lasinio model
• Investigations of symmetry breakings by multiple condensates on exotic chiral condensed phases
• Axial-Vector and Tensor Spin Polarization and Chiral Restoration in Quark Matter