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A non-linear realisation ofSU(3)⊗SU(3)
Authors:K Dietz  J Honerkamp
Affiliation:1. Institut für Theoretische Physik der Universit?t Heidelberg, W. Germany
2. Physikalisches Institut der Universit?t Bonn, W. Germany
4. Physikalisches Institut der Universit?t Bonn, W. Germany
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.
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