Quark-Hadron Duality and Scaling in Reduced QCD

Details Quark-Hadron Duality and Scaling in Reduced QCD Quark-Hadron Duality and Scaling in Reduced QCD

2003-10-31

arxiv.org/abs/nucl-th/0310088v1

Phys.Rev. D69 (2004) 074006

Physics

Nuclear Physics

Nuclear Theory

46 pages and 14 figures

Scientific paper

10.1103/PhysRevD.69.074006

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.

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