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Hadronic Wave Functions at Short Distances and the Operator Product Expansion

TLDR
In this article, the anomalous dimension of nonsinglet structure functions is compared to a corresponding logarithmic correction factor to the nominal α S (Q 2 )/Q 2 fall off of meson form factors.
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This article is published in Physics Letters B.The article was published on 1980-04-07 and is currently open access. It has received 129 citations till now. The article focuses on the topics: Operator product expansion & Operator (physics).

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Citations
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Parton Distribution and Decay Functions

TL;DR: In this paper, the authors define parton distribution and decay functions in QCD and prove some of their basic properties, such as renormalization, light-cone expansions and sum rules.
Journal ArticleDOI

Unraveling hadron structure with generalized parton distributions

TL;DR: The generalized parton distribution (GPD) as discussed by the authors was introduced as a universal tool to describe hadrons in terms of quark and gluonic degrees of freedom, and has been used for a long time in studies of hadronic structure.
Journal ArticleDOI

Factorization for hard exclusive electroproduction of mesons in QCD

TL;DR: In this article, a QCD factorization theorem for hard exclusive electroproduction of mesons in QCD was proved for the leading power in Q and all logarithms.
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The Uses of conformal symmetry in QCD

TL;DR: In this article, a short exposition of the relevant ideas, techniques and applications of conformal symmetry to various problems of interest is given. But the Lagrangian of Quantum Chromodynamics is invariant under conformal transformations.
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Higher twist distribution amplitudes of vector mesons in QCD: Formalism and twist 3 distributions

TL;DR: In this paper, a systematic study of twist 3 light-cone distribution amplitudes of vector mesons in QCD is presented, which is based on conformal expansion and takes into account meson and quark mass corrections.
References
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Journal ArticleDOI

Scaling laws at large transverse momentum

TL;DR: In this paper, the scaling laws for the asymptotic energy dependence of electromagnetic and hadronic scattering at fixed c.m. angle were derived for point-like particles.
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Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons

TL;DR: In this article, the eigenvalues of the evolution equations appear as exponents in anomalous logarithm corrections to the nominal power law of form factors determined by dimensional counting.
Journal ArticleDOI

Partially conserved axial vector current and the decays of vector mesons

TL;DR: The notion of partially conserved axial-vector current (1) (PCAC) and the current commutation relations that generate the algebra U(2)xU (2) have been successfully applied to the calculation of the axial vector constant renormalization and to the non-leptonic decays of hyperons and K mesons.
Journal ArticleDOI

Algebra of Current Components and Decay Widths of ρ and K * Mesons

TL;DR: By using the equal-time commutation relations of the chiral SU(3) current algebra and the notion of partially conserved axial-vector current, decay widths of the $\ensuremath{\rho}$ and ${K}^{*}$ mesons are calculated and compared with experiment as discussed by the authors.
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Frequently Asked Questions (1)
Q1. What have the authors contributed in "In this paper we shall show how the operator product expansion links-together two critical testing grounds of quantum chromodynamics (qcd> : the evolution of the moments of the deep inelastic structure functions and the short distance structure of the hadronic wave functions which appear in large momentum transfer exclusive reactions. in parti- cular, we shall be able to relate the anomalous dimension y, of the n-th non-singlet operator that appears in the description of deep inelastic lepton-hadron scattering to a corresponding logarithmic correction" ?

In this paper, the anomalous dimension of the non-singlet structure functions is compared to a corresponding logarithmic correction factor to the nominal as ( Q2 ) /Q2 fall off of meson form factors.