S. Eliezer

(6,6) + (6,6) symmetry breaking in chiral SU (3) × SU (3)

We investigate the features of a model where the SU (3) × SU (3) symmetry breaking Hamiltonian transforms according to the (6, 6) + (6,6) representation. The ππ s-wave scattering lengths are calculated and the πN sigma term is considered in relation to the baryon masses. We also discuss the Kl3 problem. The results are compared with the (3,3) + (3,3) and (8,8) models of symmetry breaking.

Chiral symmetry breaking and the Cabibbo angle

Abstract Following the suggestion of Oakes we consider the Cabibbo rotation in models of chiral-symmetry breaking. The m 2 π → 0 limit implies exact SU(2) × SU(2) symmetry only. in the (3, 3¯) + (3¯, 3) model. Thus with other models we proceed either from Hamiltonians (with only singlet and octet parts) giving m 2 π = 0, or from Hamiltonians displaying exact SU(2) × SU(2) symmetry. We show that in the first case the results are independent of the chiral properties of the symmetry breaking and that the second method is inconsistent in the (8, 8) and (6, 6¯) + (6¯, 6) models.

A chiral SU(4) × SU(4) gauge theory of weak and electromagnetic interactions

Abstract A lepton hadron analogy is considered based on the gauge group SU(4) L × SU(4) R × U(1), which is broken entirely spontaneously. The model satisfies the physical requirements of the V-A theory, muon-electron universality, no neutral strangeness changing currents, the Cabibbo structure for the SU(3) currents, and triangle anomalies can be avoided. The contribution of the existing neutral currents to various neutrino processes are calculated.