  In this paper the phenomenon of dynamic heterogeneity in supercooled liquid
systems is considered in terms of the recently proposed gauge theory of glass
transition. The physical interpretation of the dynamic scaling is considered.
It is shown that the development of the dynamic heterogeneity occurs due to the
growth areas in which molecular motion is correlated due to the elastic
interaction described by the gauge field. We obtains the analytical expressions
for the dependence of the number of dynamically correlated atoms as the
function on the system relaxation time, and the time dependence of the dynamic
susceptibility near the glass transition. It is shown that the relaxation
consists two processes: $\alpha $-relaxation process corresponding to the joint
motion of the domains disordered with each other, and $\beta$-relaxation
process corresponding to the motion inside these domains.
