Abstract
The π + π 0 and K + K 0 mass splittings in the standard SU(3) c × SU(2) L × U(1) theory of strong, electromagnetic and weak interactions of quarks are computed. The only additional tool is PCAC, dealing with the covariant (with respect to the group SU(2) L × U(1)) divergences of the corresponding hadronic currents. The questions of the cancellation of infinities and of the gauge dependence are worked out in detail. All computations are reduced to those of self-energy-type diagrams in which the strong interactions can be easily resummed. This leads to the recovery of the results of Das et al. and Dicus and Mathur, and their justification in a modern approach. The achievements and limitations of the method are discussed.
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