QCD Sum Rules and 1/$N_c$ expansion

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Presented at at YITP International Symposium Fundamental Problems in Hot and / or Dense QCD, Kyoto, Japan, 3-6 Mar 2008

Scientific paper

10.1143/PTPS.174.258

The 1/$N_c$ arguments are developed to classify the hadronic states in the correlators. Arguments applied to the $\sigma$ meson correlator enable to separate the instanton, glueball, and, in particular, the $\pi\pi$ scattering states by $1/N_c$ from both 2q and 4q correlators. The bare resonance pole with no mixing effects are analyzed with the QCD sum rules (QSR). The results suggest the existence of nontrivial correlation for the mass reduction of 4q system.

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