Proof of the Quantum Null Energy Condition

@article{Bousso2016ProofOT,
  title={Proof of the Quantum Null Energy Condition},
  author={R. Bousso and Zachary Kenneth Fisher and Jason Koeller and Stefan Leichenauer and Aron C. Wall},
  journal={Physical Review D},
  year={2016},
  volume={93},
  pages={024017}
}
We prove the quantum null energy condition (QNEC), a lower bound on the stress tensor in terms of the second variation in a null direction of the entropy of a region. The QNEC arose previously as a consequence of the quantum focusing conjecture, a proposal about quantum gravity. The QNEC itself does not involve gravity, so a proof within quantum field theory is possible. Our proof is somewhat nontrivial, suggesting that there may be alternative formulations of quantum field theory that make the… Expand
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