LATTICE QCD AS A THEORY OF INTERACTING SURFACES

Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an ap pearance of a set of surfaces filling the volume and gives an exact ex pression for functional of their boundaries. The interaction between e ach two surfaces is proportional to their common area and is realized by a non-local matrix differential operator acting on their boundaries . The surface self-interaction is given by the QCD(2) functional of bo undary. Partition functions and observables (Wilson loop averages) are written as an averages over all configurations of an integer-valued f ield living on a surfaces.