Demythification of electroproduction local duality and precocious scaling

doi:10.1016/S0003-4916(97)90003-8

Annals of Physics

Volume 103, Issue 2, February 1977, Pages 315-353

https://doi.org/10.1016/S0003-4916(97)90003-8 Get rights and content

Abstract

In an effort to develop a quantitative check of asymptotically free color-gauge theories, we analyze the logarithmic corrections to ξ-scaling coming from anomalous dimensions and coefficient functions of twist-two operators and compare with electroproduction data for 1 ⩽ Q² ⩽ 16 GeV². Excellent agreement is obtained using $g^{2} (2 GeV) 4π^{2} = 0.17$ for the effective quark-gluon coupling in the color-gauge theory. Effects of higher-twist operators are suppressed by powers of $M_{0}^{2} Q^{2}$ . We use data from the resonance region to show $M_{0} ⋍ 400 MeV$ , in agreement with theoretical expectations. Our fit to νW₂ in the scaling region also describes the resonance region in the sense of Bloom-gilman local duality. We show that local duality is a consequence of the moment predictions obtained from the operator-product expansion in quantum chromodynamics. We resolve a paradox associated with local duality and spin-zero targets. Present measurements of $R = σ_{L} σ_{T}$ at large x and Q² are systematically higher than our predictions.

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^☆: Work funded in part by the National Science Foundation under Grant No. MPS75-20427.

^†: Supported in part by the Harvard University Society of Fellows.

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Demythification of electroproduction local duality and precocious scaling☆

Abstract

Phys. Rev. D

Phys. Rev. D

Acta Phys. Acad. Sci. Hungar.

Phys. Rev.

Phys. Reports C

Phys. Rev. Lett.

Freedom at moderate energies: Masses in color dynamics

Phys. Rev. D.

SLAC-PUB 1634

Phys. Rev. Lett.

Phys. Rev. lett.

Phys. Rev. Lett.

Fermilab-Pub-76/16 THY

Phys. Rev. D

Phys. Rev.

Nucl. Phys. B