INTERACTION LOCALITY AND SCALING SOLUTION IN D+1 KPZ AND KS MODELS

Properties of correlation functions of solutions of KPZ and KS equatio ns (that describe roughening) in the region of strong interaction of f luctuations are considered. We prove analytically a possibility of exi stence of a scaling solution in this region despite the <<asymptotic-f reedom>> situation occurring near the marginal dimension d = 2 (corres ponding to growth of an interface in a real three-dimensional space). The proof is based on the locality of the interaction of fluctuations in k-space which can be demonstrated by passing to so-called quasi-Lag rangian variables. The inequalities restricting possible values of sca ling indices are found.