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DIVERGENCE CONDITIONS FOR VECTOR AND AXIAL VECTOR CURRENTS * BY

By S. M. Berman and Y. Frishman

Abstract

Equations for the divergence of the vector and axial-vector currents follow from the assumptions of Lorentz invariance, locality, the chiral SU(3) X SU(3) algebra of current densities (time components), and the usual electromagnetic and weak Hamiltonians. The divergence conditions lead to derivations of the low-energy meson theorems which do not involve “Schwinger” terms. (submitted to Phys. Rev. Letters) *Work supported by the U. S. Atomic Energy Commission. I During the past few years, there have been several spectacular successes in the area of low-energy pion theorems brought about by the application of current algebra ’ and PCAC. 2 Some of these are the Adler-Weisberger sum rul

Year: 1967
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