Constraints on Regge models from perturbation theory

Abstract

We study the constraints that the operator product expansion imposes on large $N_c$ inspired QCD models for current-current correlators. We focus on the constraints obtained by going beyond the leading-order parton computation. We explicitly show that, assumed a given mass spectrum: linear Regge behavior in $n$ (the principal quantum number) plus corrections in $1/n$, we can obtain the logarithmic (and constant) behavior in $n$ of the decay constants within a systematic expansion in $1/n$. Our example shows that it is possible to have different large $n$ behavior for the vector and pseudo-vector mass spectrum and yet comply with all the constraints from the operator product expansion.

14 pages, 6 figures; two references added, numerical analysis extended, main conclusions unchanged

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Cited by in corpus (14)

• An AdS/QCD model from tachyon condensation: II
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• Massive holographic QCD in the Veneziano limit
• Hyperasymptotics and quark-hadron duality violations in QCD
• The AdS/QCD Correspondence: Still Undelivered
• Glueball and meson propagators of any spin in large-N QCD
• OPE-RchiT matching at order alpha_s: hard gluonic corrections to three-point Green functions
• Parity doubling from Weinberg sum rules
• The sigma meson from QCD sum rules for large-$N_c$ Regge spectra
• 1/N_c and 1/n preasymptotic corrections to Current-Current correlators
• Electromagnetic couplings of radially excited light vector mesons from QCD sum rules
• The large-Nc limit of borelized spectral sum rules and the slope of radial Regge trajectories
• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD
• The linear radial spectrum of scalar mesons within the QCD sum rules in the planar limit