  The dynamics of a heteropolymer chain in solution is studied in the limit of
long chain length. Using functional integral representation we derive an
effective equation of motion, in which the heterogeneity of the chain manifests
itself as a time-dependent excluded volume effect. At the mean field level, the
heteropolymer chain is therefore dynamically equivalent to a homopolymer chain
with both time-independent and time-dependent excluded volume effects. The
perturbed relaxation spectrum is also calculated. We find that heterogeneity
also renormalizes the relaxation spectrum. However, we find, to the lowest
order in heterogeneity, that the relaxation spectrum does not exhibit any
dynamic freezing, at the point when static (equilibrium) ``freezing''
transition occurs in heteropolymer. Namely, the breaking of
fluctuation-dissipation theorem (FDT) proposed for spin glass dynamics does not
have dynamic effect in heteropolymer, as far as relaxation spectrum is
concerned. The implication of this result is discussed.
