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The Quantum Focusing Conjecture and the Improved Energy Condition
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The Quantum Focusing Conjecture and the Improved Energy Condition
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By rearranging its terms, the Quantum Focusing Conjecture (QFC) can be viewed as a quantum energy condition, and we can consider various limits. A recent restricted version is a limiting form where the quantum focusing vanishes $\Theta \rightarrow 0$, and has been proven for Braneworld scenario. As a result, we derive an improved quantum null energy condition (INEC) $T_{kk}\geq \frac{\hbar}{2\pi \mathcal{A}}\left(S''_{out}-\frac{1}{2}\theta S'_{out}\right)$, that can be proven with field theory techniques. We sketch the beginning of a proof, and briefly discuss possible interpretations in the absence of one.
Forward citations
Cited by 2 Pith papers
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Tests of restricted Quantum Focusing and a new CFT bound
From rQFC, a new CFT bound follows that forbids the QNEC from saturating faster than O(Σ^{d−2}) in near-vacuum states, while rQFC is proven in JT gravity and explicit QFC counterexamples are constructed.
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