A four-derivative UV-complete QFT is shown to have consistent perturbative scattering by quantizing on a Krein space with an embedded two-field O(1,1) theory that enforces ghost parity and positive probabilities.
The relevant ob- servation in this paper is that the key to obtaining consistent probabilities is a dis- crete hidden ghost parity, not shift symme- try
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Escape from Ostrogradsky via Hidden Ghost Parity
A four-derivative UV-complete QFT is shown to have consistent perturbative scattering by quantizing on a Krein space with an embedded two-field O(1,1) theory that enforces ghost parity and positive probabilities.