Regularization issues for a cold and dense quark matter model in $\beta -$equilibrium

Abstract

A regularization scheme that explicitly separates vacuum contributions from medium effects is applied to a Nambu--Jona-Lasinio model with diquark interactions and in $\beta -$equilibrium. We perform a comparison of this proposed scheme with the more traditional one, where no separation of vacuum and medium effects is done. Our results point to both qualitative and quantitative important differences between these two methods, in special regarding the phase structure of the model in the cold and dense nuclear matter case.

Comments: 14 pages, 6 figures, replaced with updated version matching the published one