从能量密度和其他二次耦合中获取纠缠的紫外结构
Ultraviolet structure of entanglement harvesting from energy density and other quadratic couplings
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中文总结 AI 辅助
研究与无质量标量场重整化能量密度耦合的粒子探测器的纠缠获取，确定紫外发散分布机制，表明其由开关相关性控制，指出不同维度探测器的情况，还推导了任意零均值高斯态的一般表达式。
中文摘要 AI 辅助
我们研究了与无质量标量场的重整化能量密度耦合的粒子探测器的纠缠获取。我们的分析确定了先前在二次探测器耦合中观察到的持续紫外发散的分布机制，并讨论了能量密度耦合具有相同的潜在结构。我们表明，这些发散完全由重合相互作用时间处的开关相关性控制。因此，当开关不重叠时，点状探测器在紫外区域是有限的。对于高斯涂抹探测器，在1+1和2+1维中获取相关性自动有限，而在更高维度中，剩余的发散通过非重叠开关消除。最后，我们推导了任意零均值高斯态的一般表达式，并用热场态说明了形式主义。
英文摘要
We study entanglement harvesting with particle detectors coupled to the renormalized energy density of a massless scalar field. Our analysis identifies the distributional mechanism underlying the persistent ultraviolet divergences previously observed for quadratic detector couplings and discusses that the energy density coupling exhibits the same underlying structure. We show that these divergences are entirely controlled by the switching correlation at coincident interaction times. Consequently, pointlike detectors are UV finite whenever the switchings do not overlap. For Gaussian-smeared detectors, the harvesting correlations are automatically finite in 1+1 and 2+1 dimensions, while in higher dimensions the remaining divergences are removed by non-overlapping switchings. Finally, we derive general expressions for arbitrary zero-mean Gaussian states and illustrate the formalism with a thermal field state.
