The Association of the Sakata-Taketani (Feshbach-Villars) Field with the Kemmer Field, under Symmetry Breaking

Abstract

We discuss both the original and two new derivations of the covariant Sakata-Taketani “system of equations”, and of the identical relativistic, but non-covariant Sakata-Taketani (S-T) and Feshbach-Villars (F-V) equations. (These last two equations were originally derived from the Duffin-Kemmer-Petiau and Klein-Gordon (K-G) equations, respectively.) By considering the scaling properties of the Kemmer, K-G and S-T fields, we conclude that in the presence of SU(3) symmetry breaking the S-T field can no longer be associated with both the Kemmer and K-G fields, but only with the Kemmer field. This has important conceptual implications concerning the particle-particle nature of mesons.