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Article overview
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Large N_c in chiral perturbation theory | | R. Kaiser
; H. Leutwyler
; | | Date: |
11 Jul 2000 | | Journal: | Eur.Phys.J. C17 (2000) 623-649 | | Subject: | hep-ph | | Affiliation: | Institute for Theoretical Physics, Universtity of Bern, Switzerland | | Abstract: | The construction of the effective Lagrangian relevant for the mesonic sector of QCD in the large N_c limit meets with a few rather subtle problems. We thoroughly examine these and show that, if the variables of the effective theory are chosen suitably, the known large N_c counting rules of QCD can unambiguously be translated into corresponding counting rules for the effective coupling constants. As an application, we demonstrate that the Kaplan-Manohar transformation is in conflict with these rules and is suppressed to all orders in 1/N_c. The anomalous dimension of the axial singlet current generates an additional complication: The corresponding external field undergoes nonmultiplicative renormalization. As a consequence, the Wess-Zumino-Witten term, which accounts for the U(3)_R x U(3)_L anomalies in the framework of the effective theory, contains pieces that depend on the running scale of QCD. The effect only shows up at nonleading order in 1/N_c, but requires specific unnatural parity contributions in the effective Lagrangian that restore renormalization group invariance. | | Source: | arXiv, hep-ph/0007101 | | Services: | Forum | Review | PDF | Favorites | |
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