For a chosen parameter range, a massless tensor perturbation of a Euclidean scalar-tensor theory obeys a Lorentzian dispersion relation, while extra scalar/vector modes remain Euclidean or ghost-like and require boundary suppression.
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Emergent Lorentzian dispersion relations from a Euclidean scalar-tensor theory
For a chosen parameter range, a massless tensor perturbation of a Euclidean scalar-tensor theory obeys a Lorentzian dispersion relation, while extra scalar/vector modes remain Euclidean or ghost-like and require boundary suppression.