The influence of a repulsive vector coupling in magnetized quark matter

Understand

We consider two flavor magnetized quark matter in the presence of a repulsive vector coupling ($G_V$) devoting special attention to the low temperature region of the phase diagram to show how this type of interaction counterbalances the effects produced by a strong magnetic field.

• The most important effects occur at intermediate and low temperatures affecting the location of the critical end point as well as the region of first order chiral transitions.
• When $G_V=0$ the presence of high magnetic fields ($eB \ge 10 m_\pi^2$) increases the density coexistence region with respect to the case when $B$ and $G_V$ are absent while a decrease of this region is observed at high $G_V$ values and vanishing magnetic fields.
• Another interesting aspect observed at the low temperature region is that the usual decrease of the coexistence chemical value (Inverse Magnetic Catalysis) at $G_V=0$ is highly affected by the presence of the vector interaction which acts in the opposite way.