Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
Abstract
In the present work we use the large-Nc approximation to investigate quark matter described by the SU(2) Nambu--Jona-Lasinio model subject to a strong magnetic field. The Landau levels are filled in such a way that usual kinks appear in the effective mass and other related quantities. β-equilibrium is also considered and the macroscopic properties of a magnetar described by this quark matter is obtained. Our study shows that the magnetar masses and radii are larger if the magnetic field increases but only very large fields ( 1018 G) affect the EoS in a non negligible way.
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