ALGEBRA OF CURRENTS ON LIGHT CONE

On the basis of observation that the fixed-mass sum rules are Fourier transforms of the commutators of currents on a lightlike hyperplane a new treatment of the algebra of currents is proposed. It consists in use of the currents integrated over the lightlike hyperplane (« lightlike » charges) and thus includes the commutators of currents on the whole light cone. An algebra of the lightlike charges is a sufficient assumption for the derivation of the fixed-mass sum rules and may be represented in the one-particle space with any momenta. Hence this extension of the usual equal-time current algebra allows us to abandon the methods like p→∞ without losing any of its advanteges. © 1969 Società Italiana di Fisica.