On the large-$N_c$ behavior of the $L_7$ coupling in $\chi$PT

Abstract

It is shown that the usual large-$N_c$ counting of the coupling constant $L_7$ of the $\mathcal{O}(p^4)$ low-energy chiral $SU(3)$ Lagrangian \cite{GL85} is in conflict with general properties of QCD in the large-$N_c$ limit. The solution of this conflict within the framework of a chiral $U(3)$ Lagrangian is explained.

6 pages, latex(includes macro at the beginning of file), no figures

References in corpus (3)

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• A Bound on $m_{\eta }/m_{{\eta }^{\prime }}$ for Large $N_C$
• Higher-Order Corrections to the Large-$N_c$ Bound on $M_{\eta }/M_{{\eta }^{\prime }}$

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