Abstract
A method based on field theory is developed for calculating corrections to broken-symmetry sum rules. The Gell-Mann-Okubo formulas for the bare masses of the baryons and mesons are found from equal-time commutators in the current algebra by using the canonical commutation relations for unrenormalized Heisenberg field operators. The corrections to the Gell-Mann-Okubo formula for the physical masses are calculated from the self-masses in perturbation theory. It is conjectured that the logarithmic infinity occurring in the second-order perturbation-theory result for the baryon self-mass cancels in the mass sum rule, and the corrections can be evaluated. For pure $D$ coupling, the correction in second-order perturbation theory reduces the discrepancy in the baryon-mass sum rule from 12 to 7 MeV.
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