On the intrerplay between perturbative and nonperturbative QCD

Details On the intrerplay between perturbative and nonperturbative QCD On the intrerplay between perturbative and nonperturbative QCD

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aipc..453..344f&link_type=abstract

Particles, fields and gravitation. AIP Conference Proceedings, Volume 453, pp. 344-348 (1998).

Physics

Perturbative Calculations, General Properties Of Qcd, Theory Of Quantized Fields

Scientific paper

We discuss the current use of the operator-product expansion in QCD calculations. Treating the OPE as an expansion in inverse powers of an energy-squared variables and assuming a bound on the remainder along the euclidean ray, we observe how the bound develops with increasing deflection from the euclidean ray down to the cut (Minkowski region). We argue that the assumption that the remainder is constant for all angles in the cut complex plane is not justified. Explicit bounds on the remainder can be obtained under additional conditions, which are still far from the realistic physical situation. Possible generalizations of the scheme are considered.

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