Scaling of Dirac Fermions and the WKB approximation
High Energy Physics - Phenomenology
2014-11-18 v1
Abstract
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.
Cite
@article{arxiv.hep-ph/0507254,
title = {Scaling of Dirac Fermions and the WKB approximation},
author = {J. W. Van Orden and Sabine Jeschonnek and John Tjon},
journal= {arXiv preprint arXiv:hep-ph/0507254},
year = {2014}
}