Quark-Hadron Duality and Scaling in Reduced QCD
arXiv:nucl-th/0310088 · doi:10.1103/PhysRevD.69.074006
Abstract
We introduce a generalization of 1+1 dimensional large Nc QCD, which we refer to as ``reduced'' QCD, or rQCD. In this model gluons and quark momenta live in 1+1 dimensions only, but the quark spin and all other particles (leptons, and the photon) live in the full 1+3 dimensions. The bound states of quarks and antiquarks are identical to those originally described by 't Hooft (except that there are new transversely polarized states previously excluded), so the model is exactly soluable. However, significant differences arise when the model is applied to electromagnetic interactions. After reviewing the strongly interacting sector of the theory, we discuss deep inelastic scattering (DIS) in this model, and show that the new states with transverse polarization give the Callan-Gross relation and remove the pathological features of the original 1+1 dimensional description. We conclude that rQCD gives a satisfactory description of the phenomenology and provides a deep understanding of both duality and DIS.
46 pages and 14 figures
References in corpus (9)
- The origins of quark-hadron duality: How does the square of the sum become the sum of the squares?
- Explicit Quark-hadron Duality in Heavy-light Meson Weak Decays in the 't Hooft Model
- Quark-Hadron Duality in Structure Functions
- Quark-Antiquark Bound States in the Relativistic Spectator Formalism
- Precision Studies of Duality in the 't Hooft Model
- Off-Forward Parton Distributions in 1+1 Dimensional QCD
- Pole Term and Gauge Invariance in Deep Inelastic Scattering
- Chiral Condensate and Short-Time Evolution of QCD(1+1) on the Light-Cone
- Analytical Heavy Quark Expansion in the 't Hooft Model