论文标题
Renyi Qnec的证明免费费米子
Proof of Renyi QNEC for free fermions
论文作者
论文摘要
通常将量子无效的能量条件（QNEC）表示为在同一点的第二个无效熵熵的第二个零形变化方面，在一个点上，在一个点上的预期值。可以重塑为陈述，即任何状态相对于真空的相对熵的第二个零形变化的符号是正的。相反，相对熵的Renyi概括（称为夹层肾脏差异（SRD））导致所谓的Renyi Qnec：相对于真空的任何状态的SRD的第二个零形变化是正真空的。在这项工作中，我们使用null量化的时空维度证明了Renyi Qnec的免费和超大型的效费量子场理论大于2，对于Renyi参数$ n> 1 $。我们以对多个可能的概括的评论结尾。
Quantum null energy condition (QNEC) is usually stated as a bound on the expectation value of null components of the stress energy tensor at a point in terms of second null shape variations of the entanglement entropy at the same point. It can be recast as the statement that the sign of the second null shape variation of the relative entropy of any state with respect to the vacuum is positive. Using instead a Renyi generalization of relative entropy, called sandwiched Renyi divergence (SRD), leads to what is termed the Renyi QNEC: the second null shape variation of SRD of any state with respect to the vacuum is positive. In this work, we prove the Renyi QNEC for free and superrenormalizable fermionic quantum field theories in spacetime dimensions greater than 2 using null quantization, for the case where the Renyi parameter $n>1$. We end with comments on multiple possible generalizations.
