Abstract
We discuss deep inelastic scattering at low χ as a critical phenomenon in 2 + 1 space - time dimensions. QCD (SU2) near the light cone becomes a critical theory in the limit of χ → 0 with a correlation mass m(χ) ∝ χν/2. We conjecture that the perturbative dipole wave function of the virtual photon in the region 1/Q < χ− < 1/m obeys correlation scaling Ψ ∝ (χ−)−(1+n) before exponentially decaying for distances larger than the inverse correlation mass. Using this behavior combined with an χ-independent dipole proton cross section we calculate the proton structure function and compare with the experimental data.
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