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Modifying operator product expansions by non-perturbative non-locality

Ralf Hofmann
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Abstract

Local quark-hadron duality violations in conventional applications of the operator product expansion are proposed to have their origin in the fact that the QCD vacuum or a hadronic state is not only characterized by nonvanishing expectation values of local, gauge invariant operators but also by finite correlation lengths of the corresponding gauge invariant $n$-point functions. Utilizing high-resolution lattice information on these correlators a non-perturbative component of OPE coarse graining is proposed which, in principle, allows for a determination of the critical dimension where the break-down of the expansion sets in.

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Ralf Hofmann. 2001-11-12. Modifying operator product expansions by non-perturbative non-locality. https://doi.org/10.1016/s0370-2693(01)01166-2

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