English

Geometrical Scaling due to Critical Behavior Near the Light Cone

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

At low xx 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 xx from a diverging correlation length ξ(x)\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 x0x \to 0 with a diverging correlation length ξ(x)x12λ2\xi(x) \propto x^{-\frac{1}{2 \lambda_2}} where the exponent λ2=2.52\lambda_2=2.52 is obtained from the center group Z(3) of SU(3).

Keywords

Cite

@article{arxiv.hep-ph/0310323,
  title  = {Geometrical Scaling due to Critical Behavior Near the Light Cone},
  author = {Hans J. Pirner},
  journal= {arXiv preprint arXiv:hep-ph/0310323},
  year   = {2007}
}

Comments

5 pages, Contribution to Light Cone Physics LC03 in Durham