Canonical Representation of a Field Theory of Currents

Abstract

Canonically equivalent families of spin-zero meson nonlinear Lagrangian field theories in which the underlying symmetry is $\mathrm{SU}\left(n\right)\mathrm{}\times \mathrm{SU}\left(n\right)\mathrm{}$ are rewritten in terms of currents. A completely symmetric theory is shown to provide a canonical representation of an $\mathrm{SU}\left(n\right)\mathrm{}$ theory of currents of the same structure as Sugawara's. The model does not provide a representation of Sugawara's $K\left(n\right)\mathrm{}$ theory of currents; however, a comparison is made between the two models.