论文标题
粒子探测器的路径积分公式:Unruh-Dewitt模型作为线路缺陷
A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect
论文作者
论文摘要
粒子探测器是在相对论量子信息(RQI)中探测量子场的普遍工具。我们根据路径积分形式形式制定了Unruh-Dewitt(UDW)粒子探测器模型。该公式能够在一般全球双曲机空间和任意检测器轨迹中恢复模型的结果。整合探测器的自由度会产生线缺陷,使人们可以根据Feynman图表表达过渡概率。受光 - 物质相互作用的启发,我们提出了一个规范不变的检测器模型,其相关线缺陷与威尔逊线的衍生物有关。这是一个实例,可以将量规理论中的非局部运算符解释为量子场的物理探针。
Particle detectors are an ubiquitous tool for probing quantum fields in the context of relativistic quantum information (RQI). We formulate the Unruh-DeWitt (UDW) particle detector model in terms of the path integral formalism. The formulation is able to recover the results of the model in general globally hyperbolic spacetimes and for arbitrary detector trajectories. Integrating out the detector's degrees of freedom yields a line defect that allows one to express the transition probability in terms of Feynman diagrams. Inspired by the light-matter interaction, we propose a gauge invariant detector model whose associated line defect is related to the derivative of a Wilson line. This is another instance where nonlocal operators in gauge theories can be interpreted as physical probes for quantum fields.