PreprintarXiv licencearXiv
A Quantum Dominant Energy Condition
Abstract
We propose a quantum dominant energy condition (QDEC) for the stress tensor in the context of quantum field theory in curved spacetimes. A rigorous proof is given for the case of Rindler wedges, and a heuristic discussion about possible generalizations to more general geometric setups, including curved spacetime, is provided. In Minkowski spacetime, we establish a connection with state recovery bounds. We illustrate the QDEC for coherent states of the free scalar field, where it turns out to be related to the ordinary DEC for the stress tensor of the classical solution that defines the coherent state.
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BibTeX
@misc{hollands2026quantum,
title = {{A Quantum Dominant Energy Condition}},
author = {Stefan Hollands and Roberto Longo and Gerardo Morsella},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.01814},
eprint = {2608.01814},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.01814},
}
RIS
TY - UNPB
TI - A Quantum Dominant Energy Condition
AU - Stefan Hollands
AU - Roberto Longo
AU - Gerardo Morsella
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2608.01814
UR - https://arxiv.org/abs/2608.01814
AB - We propose a quantum dominant energy condition (QDEC) for the stress tensor in the context of quantum field theory in curved spacetimes. A rigorous proof is given for the case of Rindler wedges, and a heuristic discussion about possible generalizations to more general geometric setups, including curved spacetime, is provided. In Minkowski spacetime, we establish a connection with state recovery bounds. We illustrate the QDEC for coherent states of the free scalar field, where it turns out to be related to the ordinary DEC for the stress tensor of the classical solution that defines the coherent state.
ER -