On the relation between low-energy constants and resonance saturation

Abstract

Although there are phenomenological indications that the low-energy constants in the chiral lagrangian may be understood in terms of a finite number of hadronic resonances, it remains unclear how this follows from QCD. One of the arguments usually given is that low-energy constants are associated with chiral symmetry breaking, while QCD perturbation theory suggests that at high energy chiral symmetry is unbroken, so that only low-lying resonances contribute to the low-energy constants. We revisit this argument in the limit of large Nc, discussing its validity in particular for the low-energy constant L8, and conclude that QCD may be more subtle that what this argument suggests. We illustrate our considerations in a simple Regge-like model which also applies at finite Nc.

15 pages, one figure

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Cited by in corpus (20)

• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Unraveling duality violations in hadronic tau decays
• Consistent high-energy constraints in the anomalous QCD sector
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Holography, chiral Lagrangian and form factor relations
• NNLO low-energy constants from flavor-breaking chiral sum rules based on hadronic tau-decay data
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• Relations between vacuum condensates and low energy parameters from a rational approach
• Parity doubling from Weinberg sum rules
• Resonance effects in pion and kaon decay constants
• Precise determination of the branching ratio of the neutral-pion Dalitz decay
• 1/N_c and 1/n preasymptotic corrections to Current-Current correlators
• On Anomaly Matching and Holography
• On the structure of two-point Green-functions at next-to-leading order in 1/Nc
• Resonance Form-Factors: L8 Determination at Next-to-Leading Order in 1/NC
• Scalar and pseudoscalar correlators in Resonance Chiral Theory