Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model

Abstract

In the present work we use the large-$N_c$ 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. $\beta$-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 ($\ge 10^{18}$ G) affect the EoS in a non negligible way.

13 pages, 9 figures

References in corpus (5)

• Chiral transition in a strong magnetic background
• Magnetized strange quark matter and magnetized strange quark stars
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• Stellar matter with a strong magnetic field within density-dependent relativistic models
• Local dynamics and gravitational collapse of a self-gravitating magnetized Fermi gas

Cited by in corpus (2)

• Deconfinement of neutron star matter within the Nambu-Jona-Lasinio model
• Neutron Fermi Liquids under the presence of a strong magnetic field with effective nuclear forces