Weinberg like sum rules revisited

Abstract

The generalized Weinberg sum rules containing the difference of isovector vector and axial-vector spectral functions saturated by both finite and infinite number of narrow resonances are considered. We summarize the status of these sum rules and analyze their overall agreement with phenomenological Lagrangians, low-energy relations, parity doubling, hadron string models, and experimental data.

31 pages, noticed misprints are corrected, references are added, and other minor corrections are made

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Cited by in corpus (8)

• Holographic like models as a five-dimensional rewriting of large-Nc QCD
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• The sigma meson from QCD sum rules for large-$N_c$ Regge spectra
• Electromagnetic couplings of radially excited light vector mesons from QCD sum rules
• Veneziano like amplitude as a test for AdS/QCD models
• The large-Nc limit of borelized spectral sum rules and the slope of radial Regge trajectories
• Holographic quark masses and radiative decays of heavy vector mesons
• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD