Abstract

One of the challenging aspects of electroproduction at high energy is the understanding of the transition from real photons to virtual photons in the GeV${}^{2}$ region. We study inclusive electroproduction on the proton at small ${x}_{B}$ using a nonperturbative dipole-proton cross section calculated from the gauge-invariant gluon field correlators as input. By quark-hadron duality, we construct a photon light cone wave function which links the ``hadronic'' behavior at small ${Q}^{2}$ to the ``perturbative'' behavior at large ${Q}^{2}$. It contains quark masses which implement the transition from constituent quarks at low ${Q}^{2}$ to current quarks at high ${Q}^{2}$. Our calculation gives a good description of the structure function at fixed energy for ${Q}^{2}l~10$ GeV${}^{2}$. Indications for a chiral transition may already have been seen in the photon-proton cross section.

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