Abstract
We investigate the renonnalization of the twist-3 operators which are relevant to the nucleon's transeverse spin-dependent structure function g_2(x,Q^2). We give a complete set of the twist-3 operators for the flavor singlet part based on the operator product expansion. We derive the anomalous dimension matrix by computing the off-shell Green's functions including the twist-3 singlet operators. As an application, we give an example of the Q^2-evolution for the lowest moment case, and discuss its experimental implication.