TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.3.084
TI  - Semi-local Bounds on Null Energy in QFT
PY  - 2022/03/07
UR  - https://scipost.org/SciPostPhys.12.3.084
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 3
SP  - 084
A1  - Fliss, Jackson R.
AU  - Freivogel, Ben
AB  - We investigate whether the null energy, averaged over some region of space- time, is bounded below in QFT. First, we use light-sheet quantization to prove a version of the “Smeared Null Energy Condition” (SNEC) proposed in [1], applicable for free and super-renormalizable QFT’s equipped with a UV cut- off. Through an explicit construction of squeezed states, we show that the SNEC bound cannot be improved by smearing on a light-sheet alone. We propose that smearing the null energy over two null directions defines an op- erator that is bounded below and independent of the UV cutoff, in what we call the “Double-Smeared Null Energy Condition,” or DSNEC. We indicate schematically how this bound behaves with respect to the smearing lengths and argue that the DSNEC displays a transition when the smearing lengths are comparable to the correlation length.
ER  -

@Article{10.21468/SciPostPhys.12.3.084,
	title={{Semi-local Bounds on Null Energy in QFT}},
	author={Jackson R. Fliss and Ben Freivogel},
	journal={SciPost Phys.},
	volume={12},
	pages={084},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.3.084},
	url={https://scipost.org/10.21468/SciPostPhys.12.3.084},
}