Pion Parton Distributions in a non local Lagrangian

Abstract

We use phenomenological nonlocal Lagrangians, which lead to non trivial forms for the quark propagator, to describe the pion. We define a procedure, based on the Dyson-Schwinger equations, for the calculation of the pion parton distributions at low Q^2. The obtained parton distributions fulfill all the wishful properties. Using a convolution approach we incorporate the composite character of the constituent quarks in the formalism. We evolve, using the Renormalization Group, the calculated parton distributions to the experimental scale and compare favorably with the data and draw conclusions.

Latex, 11 pages with 6 figures

References in corpus (9)

• Generalized Parton Distributions
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• Modelling the quark propagator
• Spectral quark model and low-energy hadron phenomenology
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Cited by in corpus (28)

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• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• Pion-photon Transition Distribution Amplitudes in the Spectral Quark Model
• The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model
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• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
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• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Model analysis of the world data on the pion transition form factor
• Enhancement effects in exclusive $\pi \pi$ and $\rho \pi$ production in ${\gamma }^{\ast }\gamma$ scattering
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• Form factors of radiative pion decays in nonlocal chiral quark models
• A note on the QCD evolution of generalized form factors
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• Transversity Form Factors and Generalized Parton Distributions of the pion in chiral quark models
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
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