Gauge Fields, Theory of Currents, and Vector Mesons

Various forms of the gauge-field model with broken symmetry are studied. It is shown that only symmetry breakings which originate in the kinetic terms lead to models consistent with the algebra of currents, and this requires, in particular, the ω-ϕ mixing to be of current type. Breaking in the mass terms lead to modifications of the algebra, the consequences of which are analyzed. A nonet symmetry model yielding inverse-mass-squared relations is presented, and Sugawara's theory of currents, in relation to the vector mesons, is also studied. The models treated in the paper are compared with experiment.