Critical Correlations of Wilson Lines in SU(3) and the High Energy $γ^*p$ Cross Section

Details Critical Correlations of Wilson Lines in SU(3) and the High Energy $γ^*p$ Cross Section Critical Correlations of Wilson Lines in SU(3) and the High Energy $γ^*p$ Cross Section

2002-03-19

arxiv.org/abs/hep-ph/0203184v2

Phys.Rev. D66 (2002) 034020

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 3 figures

Scientific paper

10.1103/PhysRevD.66.034020

We discuss deep inelastic scattering at high energies as a critical phenomenon in 2+1 space - time dimensions. In the limit of Bjorken $x \to 0$, $QCD$ SU(3) with quark fields becomes a critical theory with a diverging correlation length $\xi(x) \propto x^{-\frac{1}{2 \lambda_2}}$ where the exponent $\lambda_2=2.52$ is obtained from the center group Z(3) of SU(3). We conjecture that the dipole wave function of the virtual photon for transverse sizes $1/Q

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