QCD, deep inelastic scattering, confinement and quark -hadron duality in 1 + 1 dimensions

• Main Author: Batiz, Zoltan Steven
• Format: Others
• Language: English
• Published: W&M ScholarWorks 2001
• Online Access: https://scholarworks.wm.edu/etd/1539623380; https://scholarworks.wm.edu/cgi/viewcontent.cgi?article=3171&context=etd

We study the onset of scaling in deep inelastic scattering from quark-antiquark bound states (mesons) using covariant models. Assuming some simple non-confining interactions in 1 + 1 dimensions, we prove the self-consistency of the covariant models. The counting rules related to charge conservation, and to momentum conservation are the same as the bound state normalization condition. We also find a qualitatively correct quark distribution function. We investigate duality for the case of QCD2 ('t Hooft model). Solving some few body equations, we clarify the concept of confinement and find a relationship between confinement and quark-hadron duality. to understand how this duality sets in, we compute the distribution functions considering outgoing mesons only (hadronic calculation) which we compare to the distributions that assume outgoing with free quarks only (partonic calculation). Duality and scaling set in very early, but it takes a somewhat higher Q 2 if all constituents are charged. The distribution functions and the bound state wave function have a similar shape.