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- Title
DSE Perspective on QCD Modeling, Distribution Amplitudes, and Form Factors.
- Authors
Tandy, Peter
- Abstract
We describe results for the pion distribution amplitude (PDA) at the non-perturbative scale μ = 2 GeV 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( Q), on the entire domain of spacelike Q. The significant dilation of this PDA compared to the known asymptotic PDA is a signature of dynamical chiral symmetry breaking on the light front. We investigate the transition region of Q 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 F ( Q) underestimates the new DSE computation by just 15 % on $${Q^2\gtrsim 8\,}$$ GeV, in stark contrast with the result obtained using the asymptotic PDA.
- Subjects
QUANTUM chromodynamics; NUCLEAR models; DISTRIBUTION (Probability theory); PIONS; WAVE functions; ELECTROMAGNETIC fields
- Publication
Few-Body Systems, 2014, Vol 55, Issue 5-7, p357
- ISSN
0177-7963
- Publication type
Article
- DOI
10.1007/s00601-014-0899-y