Instantons and Meson Correlators in QCD

Details Instantons and Meson Correlators in QCD Instantons and Meson Correlators in QCD

1995-01-09

arxiv.org/abs/hep-ph/9501245v1

Z.Phys. C74 (1997) 131-143

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

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.

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