Boundary Completion of Vacuum Persistence Probability
Abstract
The vacuum persistence probability, encoded in the imaginary part of the in-out effective action, is a basic measure of vacuum instability and particle production. However, its evaluation may appear prescription-dependent: the Bogoliubov prescription and the Green's function prescription can yield different results. This discrepancy reflects the incomplete treatment of the endpoint vacuum states in the conventional Green's function reconstruction of the effective action. We establish a boundary-completed reconstruction that consistently incorporates the bulk Green's function and the endpoint vacuum contributions, thereby determining the structure of the complete in-out effective action. The resulting vacuum persistence probability is uniquely determined and agrees with the Bogoliubov result.
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BibTeX
@misc{zhou2026boundary,
title = {{Boundary Completion of Vacuum Persistence Probability}},
author = {Yu Zhou and Hai-Qing Zhang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2607.20936},
eprint = {2607.20936},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.20936},
}
RIS
TY - UNPB
TI - Boundary Completion of Vacuum Persistence Probability
AU - Yu Zhou
AU - Hai-Qing Zhang
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2607.20936
UR - https://arxiv.org/abs/2607.20936
AB - The vacuum persistence probability, encoded in the imaginary part of the in-out effective action, is a basic measure of vacuum instability and particle production. However, its evaluation may appear prescription-dependent: the Bogoliubov prescription and the Green's function prescription can yield different results. This discrepancy reflects the incomplete treatment of the endpoint vacuum states in the conventional Green's function reconstruction of the effective action. We establish a boundary-completed reconstruction that consistently incorporates the bulk Green's function and the endpoint vacuum contributions, thereby determining the structure of the complete in-out effective action. The resulting vacuum persistence probability is uniquely determined and agrees with the Bogoliubov result.
ER -