Instantons and Meson Correlators in QCD

Abstract

Various QCD correlators are calculated in the instanton liquid model in zeromode approximation and 1/N c expansion. Previous works are extended by including dynamical quark loops. In contrast to the original “perturbative” 1/N c approximation, not all quark loops are suppressed. Renormalization of the instanton density allows the identification of the density with the gluon condensate even in presence of dynamical quark loops. In the flavor singlet meson correlators a chain of quark bubbles survives the N c → ∞ limit causing a massive η′ in the pseudoscalar correlator while keeping massless pions in the triplet correlator. The correlators are plotted and meson masses and couplings are obtained from a spectral fit. They are compared to the values obtained from numerical studies of the instanton liquid and to experimental results. Show more