Gauge Theory of Elementary Interactions

Abstract

$F$ and $D$ couplings of baryons and mesons are shown to arise naturally with a simple extension of the gauge formalism to a ${(\mathrm{S}{\mathrm{U}}_{3}\ifmmode\times\else\texttimes\fi{}\mathrm{S}{\mathrm{U}}_{3})}_{L}\ifmmode\times\else\texttimes\fi{}{(\mathrm{S}{\mathrm{U}}_{3}\ifmmode\times\else\texttimes\fi{}\mathrm{S}{\mathrm{U}}_{3})}_{R}$ group structure. In its general formulation the theory needs parity doubltets of (0+) and (0-) ninefolds. It admits of (two types of $F$ and $D$ coupled) (1+) and (1-) vector and axial-vector meson multiplets, a specially attractive combination of currents which emerges from the formalism being an equal mixture of vector $F$ with axial-vector $D$ [the case of ${(\mathrm{S}{\mathrm{U}}_{3})}_{L}\ifmmode\times\else\texttimes\fi{}{(\mathrm{S}{\mathrm{U}}_{3})}_{R}$]. The theory also admits an approximate (Bronzan-Low) type of quantum number.