Behavior of Current Divergences under SU 3 × SU 3
TLDR
In this article, the authors investigated the behavior under SU3×SU3 of the hadron energy density and the closely related question of how the divergences of the axial-vector currents and the strangeness-changing vector currents transform under SU 3×SU 3.Abstract:
We investigate the behavior under SU3×SU3 of the hadron energy density and the closely related question of how the divergences of the axial-vector currents and the strangeness-changing vector currents transform under SU3×SU3. We assume that two terms in the energy density break SU3×SU3 symmetry; under SU3 one transforms as a singlet, the other as the member of an octet. The simplest possible behavior of these terms under chiral transformations is proposed: They are assigned to a single (3,3*)+(3*,3) representation of SU3×SU3 and parity together with the current divergences. The commutators of charges and current divergences are derived in terms of a single constant c that describes the strength of the SU3-breaking term relative to the chiral symmetry-breaking term. The constant c is found not to be small, as suggested earlier, but instead close to the value (-sqrt[2]) corresponding to an SU2×SU2 symmetry, realized mainly by massless pions rather than parity doubling. Some applications of the proposed commutation relations are given, mainly to the pseudoscalar mesons, and other applications are indicated.read more
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References
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Symmetries of baryons and mesons
TL;DR: In this article, it is suggested that the group is in fact U(3)×U(3), exemplified by the symmetrical Sakata model, and the symmetrized Sakata models are used to define the structure of baryons and mesons.
Journal ArticleDOI
The symmetry group of vector and axial vector currents
TL;DR: A theory proposed earlier of a higher broken symmetry than the eightfold way is applied, and rules of this kind are found to hold in certain Lagrangian field theory models and may be true in reality.
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