穿越Rindler防火墙的非线性粒子探测器
Nonlinear particle detectors across the Rindler firewall
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中文总结 AI 辅助
研究与量子标量场复合可观测量耦合的昂鲁-德维特探测器，开发分布框架评估响应函数并应用于穿越Rindler防火墙的探测器，发现二次动量耦合有问题，证明标准防火墙模型与非线性探测器耦合不兼容，指出病态源于视界相关性切断。
中文摘要 AI 辅助
我们研究了与量子标量场的复合可观测量耦合的昂鲁-德维特探测器，包括与场动量的二次耦合以及与局部能量密度的耦合。我们开发了一个分布框架来评估相应的探测器响应函数，并将其应用于穿越Rindler防火墙的探测器。虽然我们恢复了导数耦合模型的有限响应，但我们表明二次动量耦合会导致分布乘积的定义不明确以及不可避免的形式为$\delta(0)$型的发散。由于局部能量密度响应与二次动量响应密切相关，我们的结果有力地证明了标准的尖锐防火墙模型与局部可观测量的非线性探测器耦合不兼容。我们的分析进一步表明，这些病态源于Rindler视界上相关性的不连续切断，而不是探测器模型本身。
英文摘要
We investigate Unruh-DeWitt detectors coupled to composite observables of a quantum scalar field, including quadratic coupling to the field momentum and coupling to the local energy density. We develop a distributional framework for evaluating the corresponding detector response functions and apply it to detectors crossing the Rindler firewall. While we recover the finite response of the derivative-coupling model, we show that quadratic momentum coupling leads to products of distributions that do not admit a canonical, regulator-independent definition in the sharp-firewall idealization. The vacuum correspondence between the local energy-density and quadratic momentum responses motivates the conjecture that analogous difficulties may arise for energy-density coupling in the sharp firewall model. Within the sharp, pointlike composite-coupling model considered here, our analysis further suggests that these pathologies originate from the discontinuous severing of correlations across the Rindler horizon.
