Comments on the Vacuum Orientations in QCD

preprint1992arXivOpen access

Abstract

We study the QCD vacuum orientation angles in correlation with the strong CP phases. A vacuum alignment equation of the dynamical chiral symmetry breaking is derived based on the anomalous Ward identity. It is emphasized that a chiral rotation of the quark field causes a change of the vacuum orientation and a change in the definition of the light pseudoscalar generators. As an illustration of the idea, $\h\rightarrow 2\p$ decays are carefully studied in different chiral frames. Contrary to the claim in Ref.[7], the θθ-term does not directly contribute to the CP-violating processes.

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