Abstract

Superconductivity is described by the well-known Bardeen-Cooper-Schrieffer (BCS) theory, which is a symmetry breaking approximation. Color superconductivity shows up in extremely high density matter and temperature, which is here investigated and compared to the other end of the scale of low energy/temperature of organic superconductors. An approach to color superconductivity conciliating the BCS theory with the color SU(3) symmetry, the cornerstone of the rigorous theory of the strong interaction, Quantum Chromo-Dynamics (QCD), is used to describe the superconducting phase.

The magnetization of a high density relativistic fluid of elementary particles is studied. We find that the magnetic field of spin polarized matter with densities of 2 to 3 ρ0 , where ρ0 is the equilibrium density of nuclear matter, is rather huge, of the order of 1017 Gauss.

Finally we look at the chiral nature of nuclear forces and interactions as they possibly relate to chirality of nuclei (atoms) in molecules as a source of chirality in amino acids and hence in life. Previous works have not investigated the nuclear forces as a possible bias which initiated the bias towards L-amino acids as the building blocks on proteins, and later life.

Keywords: Nambu-Jona Lasinio model, Ferromagnetism, Neutron star, Chirality, Phase transitions, Quark flavors, Superconductivity, Quantum Chromo-Dynamics, symmetry, annihilation.