Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
arXiv:1406.7425
Abstract
We compute the pion quark Generalized Parton Distribution H and quark Double Distributions F and G in a coupled Bethe-Salpeter and Dyson-Schwinger approach in terms of quark flavors or isospin states. We use simple analytic expressions inspired by the numerical resolution of Dyson-Schwinger and Bethe-Salpeter equations. We explicitly check the support and polynomiality properties, and the behavior under charge conjugation or time invariance of our model. We obtain analytic expressions for the pion Double Distributions and Generalized Parton Distribution at vanishing pion momentum transfer at a low scale. Our model compares very well to experimental pion form factor or Parton Distribution Function data. This paper is the first stage of a GPD-modeling program which will be pursued by incorporating more realistic solutions of the Bethe-Salpeter and Dyson-Schwinger equations.
arXiv comment20 pages, 9 figures
References in corpus (42)
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Dyson-Schwinger Equations and the Application to Hadronic Physics
- Deeply Virtual Compton Scattering
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- Nonforward Parton Distributions
- Dyson-Schwinger equations: a tool for hadron physics
- Off-Forward Parton Distributions
- Skewed and double distributions in pion and nucleon
- Collective perspective on advances in Dyson-Schwinger Equation QCD
- QCD Constrains on the Shape of Polarized Quark and Gluon Distributions
- Double distributions and evolution equations
- Imaging dynamical chiral symmetry breaking: pion wave function on the light front
- Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
- Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
- Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
- Evolution and models for skewed parton distributions
- Valence-quark distributions in the pion
- Basic features of the pion valence-quark distribution function
- Generalized parton distributions of the pion in chiral quark models and their QCD evolution
- Flexible Parametrization of Generalized Parton Distributions from Deeply Virtual Compton Scattering Observables
- Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
- Generalized Parton Distributions at x->1
- Generalized parton distributions of the pion in a Bethe-Salpeter approach
- On timelike and spacelike deeply virtual Compton scattering at next to leading order
- Power-Law Wave Functions and Generalized Parton Distributions for Pion
- Sum rules and dualities for generalized parton distributions: is there a holographic principle?
- Impact-parameter dependence of the generalized parton distribution of the pion in chiral quark models
- Skewed quark distribution of the pion in the light-front quark model
- Test of two new parameterizations of the Generalized Parton Distribution
- Generalized parton distributions and double distributions for q q-bar pions
- Generalized parton distributions for the nucleon in chiral perturbation theory
- QCD: Restoration of Chiral Symmetry and Deconfinement for Large N_f
- Deeply virtual Compton scattering on a virtual pion target
- Continuity of generalized parton distributions for the pion virtual Compton scattering
- A Model for the Off-forward Structure Functions of the Pion
- Probing Quark Distribution Amplitudes Through Generalized Parton Distributions at Large Momentum Transfer
- Factorization of Large-x Quark Distributions in a Hadron
- Off-diagonal quark distribution functions of the pion within an effective single instanton approximation
- A Model for the Pion Structure Function
- The skewed quark distribution of the pion at large momentum transfer
- Support of generalized parton distributions in Bethe-Salpeter models of hadrons
- Pion Structure at High and Low Energies in Chiral Quark Models
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- Analytic results for Schwinger--Dyson equations with a mass term