Geometrical Scaling due to Critical Behavior Near the Light Cone

Details Geometrical Scaling due to Critical Behavior Near the Light Cone Geometrical Scaling due to Critical Behavior Near the Light Cone

2003-10-29

arxiv.org/abs/hep-ph/0310323v1

Acta Phys.Polon. B35 (2004) 265-272

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, Contribution to Light Cone Physics LC03 in Durham

Scientific paper

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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