Zeitschrift für Physik

, Volume 222, Issue 1, pp 46–57 | Cite as

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

  • K. Dietz
  • J. Honerkamp


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. TheKl3-formfactors are discussed.


Elementary Particle Goldstone Boson Isospin Rotation 
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Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • K. Dietz
    • 1
    • 2
  • J. Honerkamp
    • 3
  1. 1.Institut für Theoretische Physik der Universität HeidelbergW. Germany
  2. 2.Physikalisches Institut der Universität BonnW. Germany
  3. 3.Physikalisches Institut der Universität BonnW. Germany

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