（反）德西特时空中的圆周加速度：热性与有限尺寸效应
Circular acceleration in (anti-)de Sitter spacetime: thermality versus finite size
AI总结：
研究反德西特和德西特时空中圆周运动Unruh-DeWitt探测器的热性与有限尺寸效应，发现响应与带圆柱边界的闵可夫斯基空间相似，并给出曲率修正及温度修正的衰减规律。
摘要：
反德西特时空和德西特时空的静态块是研究加速量子观测者所经历的热效应和有限尺寸效应的场所。我们考虑一个做匀速圆周运动的Unruh-DeWitt探测器，在宇宙学常数$\Lambda$很小的极限下，与$(2+1)$维德西特和反德西特时空中的共形标量场耦合。在反德西特时空中，$\Lambda$模拟空间约束，我们发现探测器响应中的共振峰与具有圆柱形边界的闵可夫斯基空间中的探测器响应非常匹配，但带有曲率修正，当场具有环境温度时，这种修正更为显著。在德西特时空的静态块中，在欧几里得真空下，我们证明探测器响应的主导曲率修正与$\Lambda$成正比，如同零温反德西特情形，而温度修正则随$\Lambda \to 0$呈指数衰减。
英文摘要：
Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion coupled to a conformal scalar field in $(2+1)$-dimensional de Sitter and anti-de Sitter spacetimes in the limit of a small cosmological constant $Λ$. In anti-de Sitter spacetime, where $Λ$ mimics spatial confinement, we find that the resonance peaks in the detector's response closely match those of a detector in Minkowski space with a cylindrical boundary, but with curvature corrections, more significant when the field has an ambient temperature. In the static patch of de Sitter spacetime, in the Euclidean vacuum, we show that the leading curvature correction to the detector's response is proportional to $Λ$, as in zero temperature anti-de Sitter, whilst the temperature corrections decay exponentially as $Λ\to 0$.
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