  We analyze the dynamic aspect of the chiral phase transition. We apply the
mode coupling theory to the linear sigma model and derive the kinetic equation
for the chiral phase transition. We challenge Hohenberg and Halperin's
classification scheme of dynamic critical phenomena in which the dynamic
universality class of the chiral phase transition has been identified with that
of the antiferromagnet. We point out a crucial difference between the chiral
dynamics and the antiferromagnet system. We also calculate the dynamic critical
exponent for the chiral phase transition. Our result is $z=1-\eta/2\cong 0.98$
which is contrasted with $z=d/2=1.5$ of the antiferromagnet.
