  The chiral phase boundary of nuclear matter is expected to have a critical
point where the rapid crossover of lattice methods at zero chemical potential
becomes a first-order phase transition. Phenomenological models based on the
AdS/CFT correspondence, known as AdS/ QCD, have succeeded in capturing many
features of nuclear matter, with recent progress in producing the expected
critical point. We study a model that produces a critical point in the chiral
phase diagram by introducing a coupling between the scalar chiral field and the
dilaton. We examine the effect of the scalar-dilaton coupling on the critical
point. We also study the zero-temperature chiral dynamics, which must allow for
spontaneous chiral symmetry breaking in the limit of zero quark mass. We find
that when the scalar-dilaton coupling is large enough to ensure correct
zero-temperature chiral dynamics, a critical point is present only if the quark
mass is greater than 12.8 MeV.
