Remarks on symmetrical tensor fields

Abstract

For a spin-2, free quantum field there exists a Lagrange formulation leading to the Klein-Gordon equation, and the subsidiary conditions are added separately. This reproduces the usual interpretation of the field by spin-2 particles. If subsidiary conditions are not introduced, the symmetrical tensor field of rank two is decomposed into its components of spin-2,1,0 and only the spin-2,0 components define a physical theory. Various Lagrange formulations become inequivalent when a tensor interaction is introduced because the current can fix the trace and/or the divergence of the field.