Quark-Hadron Duality and Scaling in Reduced QCD
We introduce a generalization of 1+1 dimensional large N{sub c} 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 soluble. 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 816825
- Report Number(s):
- JLAB-PHY-03-195; DOE/ER/40150-2577; TRN: US0305148
- Resource Relation:
- Other Information: No journal information given for this preprint; PBD: 1 Nov 2003
- Country of Publication:
- United States
- Language:
- English
Similar Records
Measurement of the 3He Spin Structure Functions in the Resonance Region: A Test of Quark-Hadron Duality on the Neutron
Quark-hadron duality in the {close_quote}t Hooft model for meson weak decays: Different quark diagram topologies