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arxiv: hep-ph/0310323 · v1 · submitted 2003-10-29 · ✦ hep-ph

Geometrical Scaling due to Critical Behavior Near the Light Cone

classification ✦ hep-ph
keywords conelightnearcorrelationcriticaldiverginggeometricallambda
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At low $x$ a transition from a dilute parton gas to a dense parton liquid takes place. We derive geometrical scaling for the structure function in deep inelastic scattering at low $x$ from a diverging correlation length $\xi(x)$ of Wilson lines near the light cone. QCD (SU(3)) in 2+1 space - time dimensions near the light cone becomes a critical theory in the limit of $x \to 0$ 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).

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