A ghost QFT with a real spectrum can be made probabilistic by enforcing exact ghost parity as a superselection rule, so physical states have definite norm sign.
Renormalization of Higher-Derivative Quantum Gravity,
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Superselected ghost theory: real spectrum
A ghost QFT with a real spectrum can be made probabilistic by enforcing exact ghost parity as a superselection rule, so physical states have definite norm sign.