The critical points of strongly coupled lattice QCD at nonzero chemical potential

We study QCD at nonzero quark density, zero temperature, infinite coupling using the Glasgow algorithm. An improved complex zero analysis gives a critical point ${\mu }_c$ in agreement with that of chiral symmetry restoration computed with strong coupling expansions, and monomer-dimer simulations. We observe, however, two unphysical critical points: the onset for the number density ${\mu }_0$, and ${\mu }_s$ the saturation threshold, coincident with pathological onsets observed in past quenched QCD calculations. An analysis of the probability distributions for particle number supports our physical interpretation of the critical point ${\mu }_c,$ and offers a new intepretation of ${\mu }_0$, which confirms its unphysical nature. The perspectives for future lattice QCD calculations of the properties of dense baryonic matter are briefly discussed.