Scaling of Dirac Fermions and the WKB approximation

Details Scaling of Dirac Fermions and the WKB approximation Scaling of Dirac Fermions and the WKB approximation

2005-07-21

arxiv.org/abs/hep-ph/0507254v1

Phys.Rev. D72 (2005) 054020

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

We discuss a new method for obtaining the WKB approximation to the Dirac equation with a scalar potential and a time-like vector potential. We use the WKB solutions to investigate the scaling behavior of a confining model for quark-hadron duality. In this model, a light quark is bound to a heavy di-quark by a linear scalar potential. Absorption of virtual photons promotes the quark to bound states. The analog of the parton model for this case is for a virtual photon to eject the bound, ground-state quark directly into free continuum states. We compare the scaling limits of the response functions for these two transitions.

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