Higher-Spin Currents, Operator Mixing and UV Asymptotics in Large-N QCD-like Theories

We extend to operator mixing—specifically, higher-spin twist-2 operators—the asymptotic theorem on the ultraviolet asymptotics of spectral representation 2-point correlators multiplicatively renormalizable operators in large-N confining QCD-like theories. The extension is based a recent differential geometric approach mixing that involves Poincaré-Dulac and allows us reduce generically case, provided γ0β0 diagonalizable certain nonresonant condition for its eigenvalues holds according theorem, with γ0 β0 one-loop coefficients anomalous dimension matrix beta function respectively. Relatedly, we solve conundrum about generic nonconservation currents versus conservation—up contact terms—of corresponding free propagators pure integer spin leading order.