  We study the renormalization of gauge invariant operators in large Nc QCD. We
compute the complete matrix of anomalous dimensions to leading order in the 't
Hooft coupling and study its eigenvalues. Thinking of the mixing matrix as the
Hamiltonian of a generalized spin chain we find a large integrable sector
consisting of purely gluonic operators constructed with self-dual field
strengths and an arbitrary number of derivatives. This sector contains the true
ground state of the spin chain and all the gapless excitations above it. The
ground state is essentially the anti-ferromagnetic ground state of a XXX1 spin
chain and the excitations carry either a chiral spin quantum number with
relativistic dispersion relation or an anti-chiral one with non-relativistic
dispersion relation.
