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A general research on chiral symmetry restoring phase transitions at zerotemperature and finite chemical potentials under electrical neutralitycondition has been conducted in a Nambu-Jona-Lasinio model to describetwo-flavor normal quark matter. Depending on that $m_0/\Lambda$, the ratio ofdynamical quark mass in vacuum and the 3D momentum cutoff in the loopintegrals, is less or greater than 0.413, the phase transition will be secondor first order. A complete phase diagram of $u$ quark chemical potential versus$m_0$ is given. With the electrical neutrality constraint, the region wheresecond order phase transition happens will be wider than the one withoutelectrical neutrality limitation. The results also show that, for the value of$m_0/\Lambda$ from QCD phenomenology, the phase transition must be first order.

Electrical Neutrality and Symmetry Restoring Phase Transitions at High Density in a Two-Flavor Nambu-Jona-Lasinio Model