旋转坐标系中的场量子化：坐标协变性与圆形探测器响应
Field quantization in rotating frames: coordinate covariance and the circular-detector response
- Universidade Estadual Paulista (UNESP)（圣保罗州立大学）
- Universidade Federal do Rio de Janeiro（里约热内卢联邦大学）
- Centro Brasileiro de Pesquisas Físicas（巴西物理研究中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文统一分析旋转坐标系中的标量场量子化，区分三个易混淆问题，证明刚性模与TT模无Bogoliubov混合，旋转时间流无全局基态，但圆形探测器在真空中仍有平稳非热响应。
AI中文摘要：
我们对相对论旋转坐标系中的标量场量子化和探测器响应进行了统一分析，在无界闵可夫斯基时空中比较了刚性描述和Trocheris-Takeno（TT）描述。我们区分了三个常被混淆的问题：（i）固定量子态在旋转坐标中如何表示，（ii）旋转时间演化是否选择全局基态，以及（iii）旋转探测器如何响应真空。坐标变换后的刚性模和TT模与惯性模跨越相同的正频子空间：它们的Bogoliubov beta系数为零，其模求和重现闵可夫斯基Wightman函数。两种旋转时间流都不选择全局标量基态，尽管原因不同：刚性生成元并非全局类时且下方无界，而TT时间平移不是Killing对称性。然而，闵可夫斯基真空中的圆形Unruh-DeWitt探测器具有平稳的非零响应。我们将此响应与负共转频率联系起来，在显式Hadamard减法后对其进行评估，并证明它是非热性的。因此，消失的Bogoliubov混合、缺乏对称性选择的旋转真空以及探测器激发是相互一致的。
英文摘要：
We provide a unified analysis of scalar-field quantization and detector response in relativistic rotating frames, comparing rigid and Trocheris-Takeno (TT) descriptions in unbounded Minkowski spacetime. We distinguish three questions that are often conflated: (i) how a fixed quantum state is represented in rotating coordinates, (ii) whether rotating time evolution selects a global ground state, and (iii) how a rotating detector responds to the vacuum. Coordinate-transformed rigid and TT modes span the same positive-frequency subspace as inertial modes: their Bogoliubov beta coefficients vanish and their mode sums reproduce the Minkowski Wightman function. Neither rotating time flow selects a global scalar ground state, although for different reasons: the rigid generator is not globally timelike and is unbounded below, whereas TT time translation is not a Killing symmetry. Nevertheless, a circular Unruh-DeWitt detector in the Minkowski vacuum has a stationary, nonzero response. We relate this response to negative corotating frequencies, evaluate it after an explicit Hadamard subtraction, and show that it is nonthermal. Thus vanishing Bogoliubov mixing, the absence of a symmetry-selected rotating vacuum, and detector excitation are mutually consistent.
