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The vacuum contribution to quark matter under a uniform magnetic field withinthe SU(3) version of the Nambu and Jona-Lasinio model is studied. The standardregularization procedure is examined and a new prescription is proposed. Forthis purpose analytic regularization and a subtraction scheme are used to dealwith divergencies depending on the magnetic intensity. This scheme is combinedwith the standard three momentum cutoff recipe, and reduces to it for vanishingmagnetic intensity. Furthermore, the effects of a direct coupling between theanomalous magnetic moments of the quarks and the magnetic field is considered.Single particle properties as well as bulk thermodynamical quantities arestudied for a configuration of matter found in neutron stars. A wide range ofbaryonic densities and magnetic intensities are examined at zero temperature.

Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments