Fermion measure and axion fields

Question

Referee this paper: arXiv:1504.07936 by P. Mitra

Please use comments to point to previous work in this direction, and reviews to referee the accuracy of the paper. Feel free to edit this submission to summarise the paper (just click on edit, your summary will then appear under the horizontal line)

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Original abstract: It is known from path integral studies of the chiral anomaly that the fermion measure has to depend on gauge fields interacting with the fermion. It is argued here that in the presence of axion fields interacting with the fermion, they too may be involved in the measure, with unexpected consequences.

Comments

This paper claims that the Peccei-Quinn solution to the strong CP problem doesn't work. I listed it for review in the hope that the mistake in the argument could be precisely identified.