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Topological vacua and spontaneous CP violations in Yang-Mills theories

. Zeitschrift für Physik C Particles and Fields, (1989)

Abstract

From the consideration of the topological structures of Yang-Mills theories, we obtain the results thatSU(2) Yang-Mills theory in the Minkowski space has the vacua of topologyZ?Z2. Therefore, we argue that the physical vacuum ofSU(2) Yang-Mills theory needs to be described by two vacuum angles ? and . Consequently, even if ?=0, a non-vanishing angle can still induce spontaneous CP violations in such gauge theories.

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