Baryon current solving SU(3) charge-current algebra

  • Hagen Kleinert
Part of the Springer Tracts in Modern Physics book series (STMP, volume 49)


The group dynamical prescriptions for constructing conserved currents of baryons of fixed internal quantum numbers are extended as to apply to the whole SU(3) octet of weak and electromagnetic curents.

It is shown how for any dynamical group such a current octet can be found which satisfies the charge-current commutation rules at infinite momentum and is not proportional to the particle charges. The SU(3) symmetry described by these currents is broken, such that the masses within every SU(3) multiplet are split and strangeness changing currents are not conserved.

Finally, some comments are made on a possible extension of the algebra by an axial-vector octet of currents in order to generate the full chiral SU(3)×SU(3) charge-current algebra.

These lectures are based on work done in collaboration with D. Corrigan and B. Hamprecht.


Form Factor Mass Formula Tensor Operator Fermion Representation Commutation Rule 
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References and Footnotes

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Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • Hagen Kleinert
    • 1
  1. 1.Montana State UniversityBozeman

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