DSE Perspective on QCD Modeling, Distribution Amplitudes, and Form Factors

Abstract

We describe results for the pion distribution amplitude (PDA) at the non-perturbative scale $\mu =$2GeV by projecting the Poincaré-covariant Bethe-Salpeter wave-function onto the light-front and use it to investigate the ultraviolet behavior of the electromagnetic form factor, $F_{\pi }(Q^2)$, on the entire domain of spacelike $Q^2$. The significant dilation of this PDA compared to the known asymptotic PDA is a signature of dynamical chiral symmetry breaking (DCSB) on the light front. We investigate the transition region of $Q^2$ where non-perturbative behavior of constituent-like quarks gives way to the partonic-like behavior of quantum chromodynamics (QCD). The non-perturbative approach is based on the Dyson-Schwinger equation (DSE) framework for continuum investigations in QCD. The leading-order, leading-twist perturbative QCD result for $Q^2{F}_{\pi }(Q^2)$ underestimates the new DSE computation by just 15\% on $Q^2\gtrsim 8$GeV${}^2$, in stark contrast with the result obtained using the asymptotic PDA.

Comments: 9.5 pages, 4 figures, invited presentation at the Light-Cone 2013 Workshop, Skiathos, Greece. Published 24 May 2014