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Abstract:
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) proportional to x(v/2). We conjecture that the perturbative dipole wave function of the virtual photon in the region 1/Q < x(perpendicular to) < 1/m obeys correlation scaling Psi proportional to (x(perpendicular to))(-(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.
