Parton distribution function for the gluon condensate

Abstract

Motivated by the desire to understand the nucleon mass structure in terms of light-cone distributions, we introduce the twist-four parton distribution function $F(x)$ whose first moment is the gluon condensate in the nucleon. We present the equation of motion relations for $F(x)$ and discuss the possible existence of the delta function (`zero mode') contribution at $x=0$. We also perform one-loop calculations for quark and gluon targets.

arXiv comment12 pages

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Cited by in corpus (17)

• Revisiting the proton mass decomposition
• Perturbative QCD Analysis of Near Threshold Heavy Quarkonium Photoproduction at Large Momentum Transfer
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Near Threshold Heavy Quarkonium Photoproduction at Large Momentum Transfer
• Chiral and trace anomalies in Deeply Virtual Compton Scattering
• $CP$-odd gluonic operators in QCD spin physics
• Chiral and trace anomalies in Deeply Virtual Compton Scattering II: QCD factorization and beyond
• Definition and evolution of transverse momentum dependent distribution of twist-three
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Mass structure of hadrons and light-front sum rules in t' Hooft model
• Quark distribution inside a pion in many-flavor (2 + 1)-dimensional QCD using lattice computations: UV listens to IR
• QCD factorization for chiral-odd parton quasi- and pseudo-distributions
• Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
• Parton distribution function for topological charge at one loop
• Extraordinary nature of the nucleon scalar charge and its densities as a signal of nontrivial vacuum structure of QCD
• Parton Interpretation and Twist-4 Parton Distributions
• One-loop structure of parton distribution for the gluon condensate and "zero modes"