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[en] CP violation in strong interactions is re-examined on the basis of the anomaly relation with emphasis on the non-triviality of QCD vacuum. In this paper it is shown that after appropriately defining the conventional vacuum, the CP violating phases in QCD Lagrangian are subject to constraints derived from the anomaly relation. A possible solution to the strong CP problem is suggested provided that one of heavy quarks has a vanishing dynamical condensate
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