AI 中文总结
研究弱弯曲恒星时空里实标量场的快子模，通过聚焦常密度牛顿恒星，用装配希尔伯特空间形式体系解决其量子化，计算了昂鲁 - 德维特探测器跃迁概率，发现快子模使探测器响应有额外洛伦兹分布，修改了标准背景。
AI 中文摘要
一个与天体物理物体曲率非最小耦合的实标量场可以产生一个有效势，除了稳定的振荡解外，还支持一组具有纯虚频率的快子模。聚焦于常密度牛顿恒星，我们表明快子部分表现为一组解耦的倒谐波振荡器，其量子化在装配希尔伯特空间形式体系中自然地得到解决。在量子水平上，这个部分由共振态描述，平均寿命由相关的虚频率决定。为了探究这个框架的物理意义，我们计算了处于圆形轨道的昂鲁 - 德维特探测器的跃迁概率。在存在快子模的情况下，探测器响应获得一个额外的有限洛伦兹分布，它修改了标准的圆形类昂鲁背景。
英文摘要
A real scalar field nonminimally coupled to the curvature of an astrophysical object can develop an effective potential that supports, alongside stable oscillatory solutions, a set of tachyonic modes with purely imaginary frequencies. Focusing on constant-density Newtonian stars, we show that the tachyonic sector behaves as a collection of decoupled inverted harmonic oscillators, whose quantization is naturally addressed within the rigged Hilbert space formalism. At the quantum level, this sector is described by resonant states, with mean lifetimes determined by the associated imaginary frequencies. To probe the physical implications of this framework, we compute the transition probability of an Unruh-DeWitt detector in a circular orbit. In the presence of tachyonic modes, the detector response acquires an additional finite Lorentzian profile that modifies the standard circular Unruh-like background.
Comments12 pages, 2 figures, 1 table
