Quark-Hadron Duality and Scaling in Reduced QCD
Phys.Rev. D69 (2004) 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 ful...
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Zusammenfassung: | Phys.Rev. D69 (2004) 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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DOI: | 10.48550/arxiv.nucl-th/0310088 |