Find the projector that extracts [math]\displaystyle{ W_1 }[/math] from [math]\displaystyle{ W_{\mu\nu} }[/math].
Prove that in the naïve parton model [math]\displaystyle{ F_2-2xF_1 }[/math] is of order [math]\displaystyle{ 1/\nu }[/math]. What would it be in the QCD-improved parton model?
What is the consequence of momentum conservation on the splitting functions?
For small [math]\displaystyle{ x }[/math] write the dominant terms of the DGLAP equation. Show that the gluon structure function is the dominant one. Solve the DGLAP equation for gluons assuming that [math]\displaystyle{ g(x)=N/x }[/math] at [math]\displaystyle{ Q^2=5 }[/math] GeV[math]\displaystyle{ ^2 }[/math].