Cold magnetized quark matter at finite density in a nonlocal chiral quark model

Abstract: We study the behavior of two-flavor dense quark matter under the influence of an external magnetic field in the framework of a nonlocal chiral quark model with separable interactions. The nonlocality is incorporated in the model by using a Gaussian form factor. It is found that for low and moderate values of magnetic field there is a decrease of the critical chiral restoration chemical potential $\mu_c$, i.e. an inverse magnetic catalysis effect is observed. For larger values of $eB$ the behavior of $\mu_c$ becomes more or less flat, depending on the parametrization. Within the considered parametrization range we do not find a significant growth of the critical chemical potential for large magnetic fields, as occurs in the case of the local NJL model.