  We present a quenched lattice QCD calculation of the first few moments of the
polarized and un-polarized structure functions of the nucleon. Our calculations
are done using domain wall fermions and the DBW2 gauge action with inverse
lattice spacing ~1.3GeV, physical volume approximatelly (2.4 fm)^3, and light
quark masses down to about 1/4 the strange quark mass. Values of the individual
moments are found to be significantly larger than experiment, as in past
lattice calculations, but interestingly the chiral symmetry of domain wall
fermions allows for a precise determination of the ratio of the flavor
non-singlet momentum fraction to the helicity distribution, which is in very
good agreement with experiment. We discuss the implications of this result.
Next, we show that the chiral symmetry of domain wall fermions is useful in
eliminating mixing of power divergent lower dimensional operators with twist-3
operators. Finally, we find the isovector tensor charge at renormalization
scale 2 GeV in the MS bar scheme to be 1.192(30), where the error is the
statistical error only.
