Abstract
This chapter discusses the concept of an approximate SU3 symmetry in current algebra theory. In current algebra theory, results of approximate-symmetry models can be reproduced in two situations. The first situation arises if the Hamiltonian ℋ can be split into a part ℋ0 commuting with the generators and another part ℋ′ which may in some sense be regarded as small. As compared with symmetry models, current algebras contain a conceptual and a practical progress. Approximate saturation of commutators by finite sets of states may arise in special circumstances. Current algebras provide definite expressions for the corrections to symmetry models through sum rules; these allow to understand general trends of the corrections and to make quantitative estimates, if the relevant data are known.
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