  We consider the model of holographic QCD with asymptotic freedom and gluon
condensation in its vacuum. It consists of the color D4-branes and D0-branes as
a background and the flavor D8-branes as a probe. By taking a specific field
theory limit, the effective coupling decreases to vanish in UV region. We then
introduce the uniformly distributed baryons in terms of the baryon vertices and
study the density dependence of chiral condensate, which is evaluated using the
worldsheet instanton method. In the confined phase, the chiral condensate as a
function of density monotonically decreases in high baryon density. Such
behavior is in agreement with the expectation, while in extremely low density
it increases. We attribute this anomaly to the incorrect approximation of
uniformity in very low density. In the deconfined phase the chiral condensate
monotonically decreases in the whole region of density.
