Experimental Consequences of the Algebra of Fields

Abstract

The commutation rules of the algebra of fields have been applied to predict sum rules for the electric-dipole moment and the magnetic-quadrupole moment of nucleons. In the calculation it was assumed further that the sum rule could be saturated by just one state [${N}^{**}(1518)$]. The resulting consistency condition obtained is in striking conflict with experimental results. The identical condition is obtained if one assumes saturation of the sum rule by an arbitrary number of one-particle states. This failure of the consistency condition based on the algebra of fields is to be contrasted with the reasonable success of the corresponding relation based on current algebra and saturation by the same single state.