Correlations of Wilson lines and the proton structure function F2

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