The theta term is reproduced by inserting alpha(x)=theta into the known Fujikawa Jacobian, and the claimed Berry-phase effects are asserted rather than derived.
CP Conservation in the Presence of Instantons,
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The Role of Berry Phases in the QCD Vacuum Structure
The theta term is reproduced by inserting alpha(x)=theta into the known Fujikawa Jacobian, and the claimed Berry-phase effects are asserted rather than derived.