1 research outputs found
Critical Correlations of Wilson Lines in SU(3) and the High Energy Cross Section
We discuss deep inelastic scattering at high energies as a critical
phenomenon in 2+1 space - time dimensions. In the limit of Bjorken ,
SU(3) with quark fields becomes a critical theory with a diverging
correlation length where the
exponent 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 obeys correlation scaling before exponentially decaying for distances larger than
the correlation length. Using this behavior combined with different
-independent dipole proton cross sections we calculate the proton structure
function and compare with the experimental data. We take the good agreement
with the measured proton structure function F as an indication that
at high energies dimensional reduction to an effective three dimensional theory
with a critical point occurs.Comment: 21 pages, 3 figure