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SU(3) × SU(3) symmetry breaking in a simple model
Authors:B. De Wit
Affiliation:Institute for Theoretical Physics, University of Utrecht, Utrecht, The Netherlands
Abstract:A field-theoretical model, due to Lévy, is studied. It contains a triplet of quarks and a pseudoscalar and a scalar meson nonet. The original SU(3) × SU(3) symmetry is broken by terms linear in the scalar meson fields. A renormalization and regularization procedure is defined in order to remove the ultra-violet divergences. The possibility of a spontaneous breakdown of the symmetry is described and the Goldstone theorem is verified in the one-loop approximation.
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