Sum Rules from the Algebra of Fields
Yitzhak Frishman · Physical Review Letters · 1967
(to be submitted to Phys. Rev. Letters) *Work supported by the U. S. Atomic Energy Commission ton leave from the Weizmann Institute, Rehovoth, Israel. Recently, an algebra of gauge vector fields was proposed, ’ and it was shown that this algebra may be used to rederive the results of current algebra, 2 while also making definite statements about Schwinger terms. 3 Especially, these statements were used to complete the proof of Weinberg’s rules. 4 mass difference5 It was also argued in Ref. 1 that the recent calculation spectral function sum of the?r+- no supports the idea that the sources coupled to the photon are not given by the hadronic currents JI v 6 but by the hadronic gauge fields @,. In this note we derive an additional sum rule for the spectral functions of the vector and axial-vector SU2 X SU2 gauge fields, namely co PA(m2) dm2 = 0