Quantum gravity forces the QCD theta parameter to emerge as the vev of a local axion field through coherent-state representations of geometry and a quantum-information interpretation of topological-charge superselection.
This leads to the well known definition of the axion mass m2 = C f 2a (18) that not surprisingly is the analog of Witten Veneziano formula [27] for the η′ mass if we replace fa byfπ
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Gravity, Superselection Rules and Axions
Quantum gravity forces the QCD theta parameter to emerge as the vev of a local axion field through coherent-state representations of geometry and a quantum-information interpretation of topological-charge superselection.