The fermionic double smeared null energy condition
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915368095711232 |
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| author | Fragoso, Duarte Guo, Lihan |
| author_facet | Fragoso, Duarte Guo, Lihan |
| contents | 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 $γ_0 γ_+$ matrix in $T_{++}$, causing a loss of symmetry. This challenge is addressed by making 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10228 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The fermionic double smeared null energy condition Fragoso, Duarte Guo, Lihan General Relativity and Quantum Cosmology High Energy Physics - Theory 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 $γ_0 γ_+$ matrix in $T_{++}$, causing a loss of symmetry. This challenge is addressed by making 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. |
| title | The fermionic double smeared null energy condition |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.10228 |