Current correlators in QCD: OPE versus large distance dynamics

Abstract

We analyse the structure of current-current correlators in coordinate space in large $N_c$ limit when the corresponding spectral density takes the form of an infinite sum over hadron poles. The latter are computed in the QCD string model with quarks at the ends, including the lowest states, for all channels. The corresponding correlators demonstrate reasonable qualitative agreement with the lattice data without any additional fits. Different issues concerning the structure of the short distance OPE are discussed.

LaTeX, 25 pages, 13 figures

References in corpus (7)

• Topology of SU(N) gauge theories at T=0 and T=Tc
• Matching Regge Theory to the OPE
• Quark condensate and deviations from string-like behaviour of meson spectra
• Resolution of the pion puzzle: the QCD string in Nambu-Goldstone mesons
• New spectral representation and evaluation of f_πand the quark condensate <\bar q q> in the terms of string tension
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• Spectrum and Regge-trajectories in QCD

Cited by in corpus (8)

• Holographic like models as a five-dimensional rewriting of large-Nc QCD
• Qualitative solution of QCD sum rules
• Cluster duality
• 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
• The large-Nc limit of borelized spectral sum rules and the slope of radial Regge trajectories
• The linear radial spectrum of scalar mesons within the QCD sum rules in the planar limit
• Correlators of hadron currents: the model and the ALEPH data on tau-decay