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.

5 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 (5)

• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Comparing antithetic trends of data for the pion-photon transition form factor

Cited by in corpus (7)

• Pion and Kaon Distribution Amplitudes from Lattice QCD
• 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
• 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