Abstract
The chiralSU4×SU4 symmetry breaking of the Hamiltonian is investigated by assuming the symmetry-breaking part of the Hamiltonian belongs to a single\((4,\bar 4) + (\bar 4,4)\) representation ofSU4×SU4. We classify the simplest possibilities, identify each with critical orbits in the space of the\((4,\bar 4) + (\bar 4,4)\) representation and indicate their relations to quark masses. The divergences of the axial vector currents are discussed and their matrix elements are used to obtain relations among masses and coupling constants involving the recently discovered charmed pseudoscalar mesons. Finally, it is pointed out that soft-kaon theorems can be obtained for certain processes involving charmed particles by using kaon PCAC due to the relative smallness of the kaon mass. In this case the symmetry breaking is approximately on the critical orbit corresponding to the subgroupSU3×SU3×U 1 d .
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