Quark-hadron duality and hadron properties from correlators of pseudoscalar and axial currents
- Institute for High Energy Physics, Austrian Academy of Sciences, Nikolsdorfergasse 18, A-1050, Vienna (Austria)
We study the operator product expansion (OPE) and quark-hadron duality for 2- and 3-point correlators of the axial (A) and pseudoscalar (P) currents of the light quarks. In the chiral limit these correlators are often dominated by nonperturbative power corrections leading to subtleties of quark-hadron duality relations and of the extraction of properties of light pseudoscalars. For the 2-point correlators, we show the sum rule for <PP> to be sensitive to the excited light pseudoscalar. For the 3-point correlators, we derive the Ward identities which provide the normalization of the pion electromagnetic form factor at zero momentum transfer. For large momentum transfer, we demonstrate the way the correct behavior of the pion form factor in agreement with perturbative QCD emerges from condensate terms in the OPE for the <PVP> and <AVP> correlators. The local-duality sum rule for <AVA> is shown to lead to the pion form factor with the required properties for all values of the momentum transfer.
- OSTI ID:
- 20776856
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 5; Other Information: DOI: 10.1103/PhysRevD.73.054009; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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