The nonperturbative origin of delta-function singularity in the chirally-odd twist-3 distribution function e(x)

Abstract

We analytically prove that the existence of the delta-function singularity in the chirally-odd twist-3 distribution $e(x)$ of the nucleon is inseparably connected with the nonvanishing quark condensate as a signal of the spontaneous chiral symmetry breaking of the QCD vacuum. This singularity in $e(x)$, which would be observed as a sizable violation of the 1st moment sum rule, is then interpreted as giving a very rare case that the nontrivial vacuum structure of QCD manifests in an observable of a localized QCD excitation, i.e. the nucleon.

9 pages, 1 eps-figure

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Cited by in corpus (25)

• The transverse momentum dependent distribution functions in the bag model
• Measurement of Beam-Spin Asymmetries for Deep Inelastic ${\pi }^{+}$ Electroproduction
• The chirally-odd twist-3 distribution e(x)
• The chirally-odd twist-3 distribution function e(x) in the chiral quark-soliton model
• The generalized parton distribution functions and the nucleon spin sum rules in the chiral quark soliton model
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• One-loop matching for the twist-3 parton distribution $g_T(x)$
• The twist-three distribution $e^q(x,k_{\perp })$ in a light-front model
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• Pi N sigma-term and chiral-odd twist-3 distribution function e(x) of the nucleon in the chiral quark soliton model
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Transverse structure of the pion beyond leading twist with basis light-front quantization
• The sigma-term form factor of the nucleon in the large-Nc limit
• Singularities in Twist-3 Quark Distributions
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Twist-4 T-even proton TMDs in the light-front quark-diquark model
• Beam Single-Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Burkhardt-Cottingham-type sum rules for light-cone and quasi-PDFs
• On the Singular Behavior of the Chirality-Odd Twist-3 Parton Distribution e(x)
• A still unsettled issue in the nucleon spin decomposition problem : On the role of surface terms and gluon topology
• Spin Orbit Correlations and the Structure of the Nucleon
• Extraordinary nature of the nucleon scalar charge and its densities as a signal of nontrivial vacuum structure of QCD
• The Tensor and the Scalar Charges of the Nucleon from Hadron Phenomenology
• Phenomenology of Dihadron Fragmentation Function