Spin Polarization and Chiral Symmetry Breaking at Finite Density(Nuclear Physics)
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概要
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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 the vector and axial-vector channel (coupling constant G_2) as well as the scalar and pseudoscalar channel (coupling constant G_1) is used, and 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, spin polarization is possible at finite density if the ratio satisfies G_2/G_1≳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, spin polarization begins to occur, because the quark still has a relatively large dynamical mass, which is generated by spontaneous chiral symmetry breaking. On the other hand, when spin polarization occurs, it acts to slightly change the value of the dynamical quark mass. If one increases the chemical potential further, the spin polarization becomes weaker and finally disappears, because the dynamical quark mass is reduced as the chiral symmetry is gradually restored.
- 理論物理学刊行会の論文
- 2007-10-25
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- Spin Polarization and Chiral Symmetry Breaking at Finite Density(Nuclear Physics)