Large N_c Expansion in Chiral Quark Model of Mesons

Details Large N_c Expansion in Chiral Quark Model of Mesons Large N_c Expansion in Chiral Quark Model of Mesons

1999-07-13

arxiv.org/abs/hep-ph/9907321v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

49 pages, latex file, 6 eps figures

Scientific paper

We study SU(3)$_L\timesSU(3)_R$ chiral quark model of mesons up to the next to leading order of $1/N_c$ expansion. Composite vector and axial-vector mesons resonances are introduced via non-linear realization of chiral SU(3) and vector meson dominant. Effects of one-loop graphs of pseudoscalar, vector and axial-vector mesons is calculated systematically and the significant results are obtained. We also investigate correction of quark-gluon coupling and relationship between chiral quark model and QCD sum rules. Up to powers four of derivatives, chiral effective lagrangian of mesons is derived and evaluated to the next to leading order of $1/N_c$. Low energy limit of the model is examined. Ten low energy coupling constants $L_i(i=1,2,...,10)$ in ChPT are obtained and agree with ChPT well.

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