The Green's function prescription for the in-out effective action omits endpoint vacuum wavefunctional contributions; including them cancels the boundary obstruction and recovers the Bogoliubov vacuum persistence probability.
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Boundary Completion of Vacuum Persistence Probability
The Green's function prescription for the in-out effective action omits endpoint vacuum wavefunctional contributions; including them cancels the boundary obstruction and recovers the Bogoliubov vacuum persistence probability.