Broken scale invariance, current algebra, and massive `gravitation. I. General formulation

A general analysis is given of the interaction of mesons of JP=0±, 1±, and 2+ obeying the principles of broken scale invariance in the tree and seagull approximations. Broken scale invariance is introduced through a new postulate which requires that the improved Belinfante stress tensor and its trace play a fundamental role as sources of the JP=2+, 0+ mesons with a universal coupling strength. The universality also leads to new relations of the type gf=Fσmf2, etc., between the f- and σ-meson interpolating constants which resemble the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin-type relations in current algebra. The form of the vector current in the presence of broken scale invariance is derived. The condition of scale breaking implies that the vector current has canonical scale dimension 3, and the apparent conflict of conservation of vector current with the f couplings is resolved. Experimental tests of the present formalism are indicated

Duke Scholars

Author Morton Friedman Biomedical Engineering