Photon structure functions from quenched lattice QCD

We calculate the first moment of the photon structure function, $〈x{〉}^{\gamma }={\int }_0^1{\mathrm{dxF}}_2^{\gamma }{(x,Q}^2),$ on the quenched lattices with $\beta =6.0\mathrm{}$ using the formalism developed by the authors recently. In this exploratory study, we take into account only the connected contractions. The result is compared with the experimental data as well as model predictions.