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Large N_c in chiral perturbation theory
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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.
Forward citations
Cited by 8 Pith papers
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Bootstrapping Pion Form Factors at Large $N$
Bootstrap analysis of meromorphic observables in large-N QCD yields universal and SVZ-type bounds that constrain chiral Lagrangian parameters and link hadronic data to asymptotic freedom.
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Unified study of two-meson and axion-meson production from semileptonic tau decays within resonance chiral framework
Within a resonance chiral model, hadron resonances boost predicted tau decays into pion/K plus axion by factors of 7.5 and 19.2, with branching ratios and forward-backward asymmetries also predicted.
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Pion-Nucleon Scattering in Baryon Chiral Perturbation Theory combined with the ${ 1/N_c}$ Expansion
A one-loop chiral-plus-1/Nc effective field theory with the nucleon and Delta in a spin-flavor multiplet is fitted to SAID pion-nucleon scattering data up to 350 MeV.
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The role of the chiral anomaly in polarized deeply inelastic scattering III: Wess-Zumino-Witten contributions and chiral Ward identities for finite quark mass
A worldline computation shows the QED anomaly-pole cancellation by the PVV triangle does not extend to QCD, and the eta-prime mechanism yields only a few percent finite-mass correction to the Shore-Veneziano relation ...
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Dispersion relation for hadronic light-by-light scattering: $\eta$ and $\eta'$ poles
A dispersive analysis of the eta and eta' transition form factors yields data-driven pole contributions to the muon g-2 of 14.7(9) x 10^-11 and 13.5(7) x 10^-11.
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Shift symmetries, soft limits, and the double copy beyond leading order
For higher-derivative corrections, shift symmetry no longer guarantees double-copy compatibility; even-point amplitudes can be made compatible by tuning coefficients, odd-point ones cannot.
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Unified study of scalar, vector and tensor two-meson form factors in $U(3)$ resonance chiral theory
Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.
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Hidden-sectors search and probe of discrete symmetries at the REDTOP experiment
REDTOP targets O(10^14) eta and O(10^12) eta-prime decays to probe four hidden sector portals and test CP/T invariance plus lepton universality.
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