Color Superconductivity at Finite Temperature, Chemical Potential and in the Presence of Strong Magnetic Fields
Abstract: In this talk we review some of the effects of external magnetic fields on two-flavor Color Superconductivity (2SC), as one of the phases in the QCD phase diagram. To do this, an effective two-flavor Nambu-Jona Lasinio Lagrangian is used, which consists of two mass gaps, chiral and diquark condensations. The nonzero values of these gaps induce spontaneous chiral and color symmetry breaking, and consequently two different phases. We calculate the transition curves and the critical points in terms of three intensive quantities, the temperature, the chemical potential and the external magnetic field. We study, in particular, the effect of a constant magnetic field on these phases and show that it is responsible for the magnetic catalysis of dynamical symmetry breaking. As a consequence of this effect the magnitude of the mentioned condensations increase with the magnetic field. Increasing the temperature and chemical potential, changes, however, the symmetry pattern and shifts the transition points to smaller values. We conclude that strong magnetic fields can expand the symmetry breaking regions in the QCD phase diagram, even to larger values of temperature and chemical potential.