Generalized parton distributions of the pion in a Bethe-Salpeter approach

Abstract

We calculate generalized parton distribution functions in a field theoretic formalism using a covariant Bethe-Salpeter approach for the determination of the bound-state wave function. We describe the procedure in an exact calculation in scalar Electrodynamics proving that the relevant corrections outside our scheme vanish. We extend the formalism to the Nambu--Jona-Lasinio model, a realistic theory of the pion. We go in both cases beyond all previous calculations and discover that all important features required by general physical considerations, like symmetry properties, sum rules and the polynomiality condition, are explicitly verified. We perform a numerical study of their behavior in the weak and strong coupling limits.

19 pages, 21 eps figures, accepted for publication in EPJA

References in corpus (29)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Deeply Virtual Compton Scattering
• Nonforward Parton Distributions
• Off-Forward Parton Distributions
• Skewed and double distributions in pion and nucleon
• Hard exclusive electroproduction of two pions and their resonances
• Linking Parton Distributions to Form Factors and Compton Scattering
• Off-forward quark distributions of the nucleon in the large N_c limit
• A Study of Off-Forward Parton Distributions
• Virtual Compton Scattering off the nucleon
• Chiral Lagrangians and Nambu-Jona-Lasinio like models
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• Helicity skewed quark distributions of the nucleon and chiral symmetry
• The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order
• Pion Structure Function in the Nambu and Jona-Lasinio model
• Off-diagonal parton distributions and their evolution
• Hadron Structure Functions in a Chiral Quark Model: Regularization, Scaling and Sum Rules
• Skewed quark distribution of the pion in the light-front quark model
• On high $Q^2$ behavior of the pion form factor for transitions ${\gamma }^{\ast }\gamma \to {\pi }^0$ and ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$ within the nonlocal quark-pion model
• Generalized parton distributions and double distributions for q q-bar pions
• Exploring skewed parton distributions with two body models on the light front II: covariant Bethe-Salpeter approach
• The perturbative limit of the two-pion distribution amplitude
• Exploring Skewed Parton Distributions with Two-body Models on the Light Front I: bimodality
• Comparison of Form Factors Calculated with Different Expressions for the Boost Transformation
• Pion Form Factor and Quark Mass Evolution in a Light-Front Bethe-Salpeter Model
• Off-diagonal quark distribution functions of the pion within an effective single instanton approximation
• Effective boost and "point-form" approach
• The skewed quark distribution of the pion at large momentum transfer
• Generalized parton distributions and constituent quarks

Cited by in corpus (64)

• Unraveling hadron structure with generalized parton distributions
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Gravitational and higher-order form factors of the pion in chiral quark models
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• Contact interaction analysis of pion GTMDs
• Modelling the nucleon structure
• Hard exclusive electroproduction of a pion in the backward region
• Deeply virtual Compton scattering on a virtual pion target
• Measures of pion and kaon structure from generalised parton distributions
• The pion transition form factor and the pion distribution amplitude
• Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• Pion Parton Distributions in a non local Lagrangian
• The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model
• Pion-photon Transition Distribution Amplitudes in the Spectral Quark Model
• Twist-3 GPDs in Deeply-Virtual Compton Scattering
• A Model for the Off-forward Structure Functions of the Pion
• Charge Symmetry Breaking Effects in Pion and Kaon Structure
• Singularities in Twist-3 Quark Distributions
• Quark spin and orbital angular momentum from proton GPDs
• The eta-photon transition form factor
• Double distributions for the proton
• Non local lagrangians(I): the pion
• Impact parameter dependent quark distribution of the pion
• The First Moments of Nucleon Generalized Parton Distributions
• Study of kaon structure using the light-cone quark model
• Pion nucleus Drell-Yan process and parton transverse momentum in the pion
• Impact of DCSB and dynamical diquark correlations on proton GPDs
• Helicity-dependent generalized parton distributions and composite constituent quarks
• Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
• Transversity form factors of the pion in chiral quark models
• Enhancement effects in exclusive $\pi \pi$ and $\rho \pi$ production in ${\gamma }^{\ast }\gamma$ scattering
• Relativity and constituent quark structure in model calculations of parton distributions
• Support of generalized parton distributions in Bethe-Salpeter models of hadrons
• Generalized parton distributions of the pion in a covariant Bethe-Salpeter model and light-front models
• T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
• A note on the QCD evolution of generalized form factors
• Generalized parton distributions of sea quarks in the proton from nonlocal chiral effective theory
• Small-x Behaviour of Lightcone Wavefunctions in Transverse Lattice Gauge Theory
• Solution of the Kwiecinski evolution equations for unintegrated parton distributions using the Mellin transform
• Pion-Photon TDAs in the NJL Model
• Pion wave function from lattice QCD vs. chiral quark models
• Regularization dependence of pion generalised parton distributions
• Generalized parton distributions of sea quark at zero skewness in the light-cone Model
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• Generalized parton distributions for dynamical equation models
• Two-current correlations in the pion in the Nambu and Jona-Lasinio model
• Transversity Form Factors and Generalized Parton Distributions of the pion in chiral quark models
• Generalized Parton Distributions -- theoretical review --
• RQM description of PS meson form factors, constraints from space-time translations, and underlying dynamics
• Revealing pion and kaon structure via generalised parton distributions
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
• Violation of Positivity Bounds in Models of Generalized Parton Distributions
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Generalised Parton Distributions: A Dyson-Schwinger approach for the pion
• A Simple Model for Generalised Parton Distributions of the Pion
• An algebraic model for the pion's valence-quark GPD
• Photon interactions and chiral dynamics
• Light-Front Dynamics and Generalized Parton Distributions
• Pion's valence-quark GPD and its extension beyond DGLAP region