  A systematic derivation is presented of the twist-2 anomalous dimensions of
the general quark and gluon light-ray operators in the generalized Bjorken
region in leading order both for unpolarized and polarized scattering. Various
representations of the anomalous dimensions are derived both in the non-local
and the local light cone expansion and their properties are discussed in
detail. Evolution equations for these operators are derived using different
representations. General two- and single-variable evolution equations are
presented for the expectation values of these operators for non-forward
scattering. The Compton amplitude is calculated in terms of these distribution
amplitudes. In the limit of forward scattering a new derivation of the integral
relations between the twist-2 contributions to the structure functions is
given. Special limiting cases which are derived from the general relations are
discussed, as the forward case, near-forward scattering, and vacuum-meson
transition. Solutions of the two-variable evolution equations for non-forward
scattering are presented.
