Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles

Details Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles

2003-12-09

arxiv.org/abs/hep-ph/0312130v2

Prog.Part.Nucl.Phys. 52 (2004) 299-376

Physics

High Energy Physics

High Energy Physics - Phenomenology

now 68 pages, 29 figures (1 figure added), habilitation thesis, mild restructuring, typos corrected, about 30 references and c

Scientific paper

10.1016/j.ppnp.2004.02.003

We review the status of the practical operator product expansion (OPE), when applied to two-point correlators of QCD currents which interpolate to mesonic resonances, in view of the violations of local quark-hadron duality. Covered topics are: a mini-review of mesonic QCD sum rules in vacuum, at finite temperature, or at finite baryon density, a comparison of model calculations of current-current correlation functions in 2D and 4D with the OPE expression, a discussion of meson distribution amplitudes in the light of nonperturbatively nonlocal modifications of the OPE, and a reorganization of the OPE which (partially) resums powers of covariant derivatives.

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