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The fermionic double smeared null energy condition
by Duarte dos Reis Fragoso, Lihan Guo
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Lihan Guo · Duarte dos Reis Fragoso |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202411_00017v3 (pdf) |
| Date accepted: | June 11, 2025 |
| Date submitted: | June 4, 2025, 9:59 p.m. |
| Submitted by: | dos Reis Fragoso, Duarte |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
Energy conditions are crucial for understanding why exotic phenomena such as traversable wormholes and closed timelike curves remain elusive. In this paper, we prove the Double Smeared Null Energy Condition (DSNEC) for the fermionic free theory in 4-dimensional flat Minkowski space-time, extending previous work on the same energy condition for the bosonic case [1] [2] by adapting Fewster and Mistry’s method [3] to the energy- momentum tensor T_{++}. A notable difference from previous works lies in the presence of the γ_0γ_+ matrix in T_{++}, causing a loss of symmetry. This challenge is addressed by mak- ing use of its square-root matrix. We provide explicit analytic results for the massless case as well as numerical insights for the mass-dependence of the bound in the case of Gaussian smearing.
Author comments upon resubmission
Thank you for the detailed comments regarding the convergence of our bounds and other useful feedback.
On my and my co-author's behalf, I am resubmitting the paper, after correcting the typos and inaccuracies pointed out in the review.
Thank you again for the help,
Best regards,
Duarte Fragoso
List of changes
On page 7, line 127 we changed "lemma 1" to the correct equation (equation 29)
We changed the argument regarding convergence of the bound given in equation 46 by analyzing the positive and negative powers of v separately, as suggested by the reviewer, bounding the original integrals by others that are evidently finite.
Published as SciPost Phys. Core 8, 045 (2025)