QUARK PROPAGATION IN THE RANDOM INSTANTON VACUUM

This is the first of a series of papers devoted to a systematic study of QCD correlation functions. Our aim is to reach a quantitative under standing of the forces between quarks in all channels, and, in particu lar, the role played by instanton-induced effects. The topic of this f irst paper is to work out approximate formulae for quark propagators i n a multi-instanton environment, which include the 't Hooft interactio n to all orders. As an application, we use the simplest possible model of the kind, the so-called ''random instanton liquid model'' (RILM). The results obtained can also be related to properties of heavy-light mesons, and those are found to be consistent with phenomenology.