HADRON CORRELATORS AND THE STRUCTURE OF THE QUARK PROPAGATOR

The structure of the quark propagator of QCD in a confining background is not known. We make an ansatz for it, as hinted by a particular mec hanism for confinement, and analyze its implications in the meson and baryon correlators. We connect the various terms in the Kallen-Lehmann representation of the quark propagator with appropriate combinations of hadron correlators, which may ultimately be calculated in lattice Q CD. Furthermore, using the positivity of the path integral measure for vector like theories, we reanalyze some mass inequalities in our form alism. A curiosity of the anlaysis is that, the exotic components of t he propagator (axial and tensor), produce terms in the hadron correlat ors which, if not vanishing in the gauge field integration, lead to vi olations of fundamental symmetries. The non observation of these viola tions implies restrictions in the space-time structure of the contribu ting gauge field configurations. In this way, lattice QCD can help us analyze the microscopic structure of the mechanisms for confinement.