A non-linear realisation ofSU(3)⊗SU(3)

Abstract

A non-linearSU(3)⊗SU(3) invariant Lagrangian is constructed. The non-linear transformations are required to be linear only on the subgroup of isospin rotations and strangeness gauges: π,K, η and scalarκ-mesons appear as goldstone bosons; masses of vector- and axialvector, as well as strange and non-strange, Yang-Mills fields are split. Results predicted by thisSU(3)⊗SU(3) invariant Lagrangian are similar to those obtained previously by Ward-identity techniques, however, no assumption on symmetry-breaking has to be made. TheK _l3-formfactors are discussed.