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We calculate the gluon structure function of a color dipole innear-light-cone SU(2) lattice QCD as a function of $x_B$. The quark andantiquark are external non-dynamical degrees of freedom which act as sources ofthe gluon string configuration defining the dipole. We compute the color dipolematrix element of transversal chromo-electric and chromo-magnetic fieldoperators separated along a direction close to the light cone, the Fouriertransform of which is the gluon structure function. As vacuum state in the pureglue sector, we use a variational ground state of the near-light-coneHamiltonian. We derive a recursion relation for the gluon structure function onthe lattice similar to the perturbative DGLAP equation. It depends on thenumber of transversal links assembling the Schwinger string of the dipole.Fixing the mean momentum fraction of the gluons to the "experimental value" ina proton, we compare our gluon structure function for a dipole state with fourlinks with the NLO \emph{MRST} 2002 and the \emph{CTEQAB-0} parameterizationsat $Q^2=1.5 \mathrm{GeV}^2$. Within the systematic uncertainty we find rathergood agreement. We also discuss the low $x_B$ behavior of the gluon structurefunction in our model calculation.

Gluon Structure Function of a Color Dipole in the Light-Cone Limit of Lattice QCD