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Testing quantum chromodynamics with moment sum rules Export

by: K. J. Miller, M. G. Olsson
Physical Review D, Vol. 25, No. 5. (Mar 1982), pp. 1247-1252.

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moments physics quantum test

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We investigate the consistency of e + e - annihilation data with QCD. The gluon-condensate matrix element is determined independent of the value of the strong coupling constant or possible mass-renormalization ambiguities. Our method employs finite-contour sum rules which explicitly consider continuum data. For c -quark production the condensate parameter is φ c =(2.5±0.4)×10 -3 ; while for b -quark production we find φ b =(0.4±1.0)×10 -3 ; consistent with zero. The concept of duality of moments is proved and its applicability discussed.


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