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- W3032865732 abstract "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 ξ(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 → 0 with a diverging correlation length ξ(x) ∝ x 1 2λ2 where the exponent λ2 = 2.52 is obtained from the center group Z(3) of SU(3). High energy electron proton scattering has presented exciting new experimental results in QCD. The behaviour of cross sections with energy, a long standing issue in hadronic physics, has gained in interest with the availability of small size probes. The color dipole in the photon can be made small by increasing the virtuality Q of the photon. In the course of x-evolution the photon wave function develops many additional dipoles which in general diffuse into distance scales beyond the original size 1/Q. This increase in dipole density and/or size of the photon wave function is generally believed to be the origin of the increasing high energy cross section. Perturbative QCD has been partially successful to explain low x physics. In a recent paper [1] we have shown how DGLAPevolution of a non perturbatively obtained gluon distribution can lead to a successful description of the structure function data at HERA. In this note we follow the very promising Wilson line method outlined in ref. [4] in a Hamiltonian framework near the light cone [3]. Our approach is all the way nonperturbative in contrast to the standard perturbative approach in this field. We do not share the assumption that even at high dipole density when the average transverse distance between dipoles becomes small the hadronic state is accessible to a simple perturbative treatment, since the overall size scale is still large. For total cross sections the momentum transfer is zero and this overall size matters. We consider it as an advantage that experiment helps us to unravel the badly understood dynamics of partons near the light cone. For years there has been a considerable effort to model and investigate QCD in light cone coordinates. We have followed the approach with near light cone coordinates which smoothly interpolate between the Lorentz and light front coordinates :" @default.
- W3032865732 created "2020-06-05" @default.
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- W3032865732 date "2004-01-01" @default.
- W3032865732 modified "2023-09-25" @default.
- W3032865732 title "Geometrical Scaling Due to Critical Behavior Near the Light Cone" @default.
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