What binds quarks together at different momentum scales? A conceptual scenario

Abstract

The binding effects of quarks within hadrons are discussed in terms of the pion distribution amplitude over longitudinal momentum fractions. To understand the behavior of this quantity at different momentum scales, the concept of synchronization in complex systems has been employed. It is argued that at low momentum scales, the quarks get correlated by nonlocal quark/gluon condensates that cause an endpoint-suppressed, mainly bimodal structure of the pion distribution amplitude inferred from a sum-rule analysis. The mass generation mechanism, within the framework of Dyson-Schwinger equations, and evolution effects pull these two peaks back to the center to form at $Q^2\to \infty$ the asymptotic distribution amplitude which represents the most synchronized $\bar{q}q$ state.

arXiv comment5 pages, 3 figures embedded; v2 includes remarks on and references to AdS/QCD; v3 has 6 pages, new material on short-tailed platykurtic distribution amplitude and minor corrections and clarifications added; abstract extended and references updated

References in corpus (32)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Measurement of the gamma gamma* --> pi0 transition form factor
• Explanation and Prediction of Observables using Continuum Strong QCD
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• QCD-based pion distribution amplitudes confronting experimental data
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Meson Transition Form Factors in Light-Front Holographic QCD
• Essence of the vacuum quark condensate
• Confinement contains condensates
• Evolved QCD predictions for the meson-photon transition form factors
• Unbiased analysis of CLEO data at NLO and pion distribution amplitude
• Perturbative Effects in the Form Factor γγ^*\to πand Extraction of the Pion Wave Function from CLEO Data
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Analytic coupling and Sudakov effects in exclusive processes: pion and ${\gamma }^{\ast }\gamma \to {\pi }^0$ form factors
• CLEO and E791 data: A smoking gun for the pion distribution amplitude?
• Comparing antithetic trends of data for the pion-photon transition form factor
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Pion-photon transition---the new QCD frontier
• Pion form factors with improved infrared factorization
• Isospin amplitudes and CP violation in $(B\to K\pi )$ decays
• Tagging the pion quark structure in QCD
• BELLE Data on the ${\pi }^0\gamma \ast \gamma$ Form Factor: A Game Changer?
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Can we understand an auxetic pion-photon transition form factor within QCD? BaBar faces Belle
• Selected highlights from the study of mesons
• Lattice measurements of nonlocal quark condensates, vacuum correlation length, and pion distribution amplitude in QCD
• Endpoint behavior of the pion distribution amplitude in QCD sum rules with nonlocal condensates

Cited by in corpus (19)

• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude
• Spin effects in the pion holographic light-front wavefunction
• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• Tomography of light mesons in light-cone quark model
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Pion to photon transition form factors with basis light-front quantization
• Dispersive derivation of the pion distribution amplitude
• On the pion distribution amplitude. Derivation, properties, predictions
• Extending the application of the LCSR method to low momenta using QCD renormalization-group summation. Theory and phenomenology
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• Power Corrections to Pion Transition Form Factor in Perturbative QCD Approach
• Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation
• Power corrections to the pion transition form factor from higher-twist distribution amplitudes of photon
• Improved estimates of the pion-photon transition form factor in the $(1\le {\mathbf{Q}}^2\le 5)$~GeV${}^2$ range and their theoretical uncertainties
• Dynamical spin effects in the pion