New QCD sum rules based on canonical commutation relations

New derivation of QCD sum rules by canonical commutators is developed. It is the simple and straightforward generalization of Thomas–Reiche–Kuhn sum rule on the basis of Kugo–Ojima operator formalism of a non-abelian gauge theory and a suitable subtraction of UV divergences. By applying the method to the vector and axial vector current in QCD, the exact Weinberg’s sum rules are examined. Vector current sum rules and new fractional power sum rules are also discussed.