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" $1/N_c$ expansion not all quark loops are suppressed. In the flavor singlet meson correlators a chain of quark bubbles survives the $N_c\to \infty$ limit causing a massive ${\eta }^{\prime }$ 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.

43 latex pages, 7 1/2 figures included by epsf.tex-macro

References in corpus (6)

• Spectral Density of the QCD Dirac Operator near Zero Virtuality
• Baryonic Correlation Functions in the Random Instanton Vacuum
• Mesonic Correlation Functions in the Random Instanton Vacuum
• Lattice Calculation of Point-to-Point Hadron Current Correlation
• Quark Propagation in the Random Instanton Vacuum
• The mass of the eta' in self-dual QCD

Cited by in corpus (5)

• Instantons in QCD
• Instanton size distribution: repulsion or the infrared fixed point?
• Instantons in QCD with Many Colors
• Instantons and Scalar Multiquark States: From Small to Large N_c
• Axial Vector Current and Coupling of the Quark in the Instanton Model