  QCD at the classical level possesses scale invariance which is broken by
quantum effects. This ``dimensional transmutation'' phenomenon can be
mathematically described by formulating classical gluodynamics in a curved,
conformally flat, space-time with non-vanishing cosmological constant. We study
QCD high-energy scattering in this theory. We find that the properties of the
scattering amplitude at small momentum transfer are determined by the energy
density of vacuum fluctuations. The approach gives rise to the power growth of
the total hadron-hadron cross section with energy, i.e. the Pomeron. The
intercept of the Pomeron and the multiplicity of produced particles are
evaluated. We also speculate about a possible link between conformal anomaly
and TeV scale quantum gravity.
