淬灭宇宙学对撞机物理：随机场与白噪声
Disorder at the Cosmological Collider: Quenched Random Fields
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中文总结 AI 辅助
研究德西特空间中与淬灭随机源耦合的大质量旁观者场，发现随机场仅影响统计扇区，种子因子可精确分解，且时间轮廓控制时钟特性。
中文摘要 AI 辅助
我们研究了德西特空间中一个质量较大的旁观者场，该场与一个具有确定性幂律时间轮廓的空间淬灭随机源线性耦合。对于任意时间权重，固定实现问题可通过Lommel函数精确求解，而Mellin-Barnes表示则将解析受迫响应与均匀大质量完备部分分离。在高斯无序平均后，随机场仅修改传播子的统计扇区，谱函数和重场极点保持不变。由此产生的宇宙学对撞机种子因子精确分解为一个与受迫响应相关的广义超几何扇区和两个携带大质量信号的高斯超几何分支，非解析折叠贡献被抵消。持续源在双谱扇区产生局部晚期时间对数，而任何衰减源则使物理Schwinger-Keldysh端点可积。对于足够快的衰减，非解析大质量时钟在挤压极限中成为参数主导。对于空间白噪声，交叉也消除了无序贡献的显式交换尺度依赖性，并允许与原始坍缩三谱对撞机分支产生相消干涉。更一般地，时间轮廓控制时钟包络、振幅和相位，而其对数频率由重场质量固定。
英文摘要
Cosmological-collider signals are usually interpreted as clean probes of massive particles present during inflation. In this work, we study a massive spectator field excited by a spatially quenched random source, which may arise from a frozen realization of a light field or environmental sector whose relaxation time is long compared with the inflationary timescale. We determine which features of the collider signal remain reliable probes of the heavy field. After Gaussian disorder averaging, the random source modifies only the statistical component of the propagator, leaving the spectral function and heavy-field poles unchanged. The particle spectrum is therefore preserved, and the logarithmic frequency of the collider oscillations remains fixed by the heavy-field mass. What changes is how the massive modes are excited and imprinted on cosmological correlators: the temporal profile of the source controls the amplitude, phase, and envelope of the oscillations. For a power-law source, the fixed-realization problem is exactly solvable in terms of Lommel functions. Decaying sources can make the nonanalytic clock signal dominant in the squeezed limit, while spatial white noise can destructively interfere with the standard collapsed-trispectrum signal. Thus, mass measurements remain robust against this class of quenched disorder, whereas amplitude-based inferences can depend sensitively on the random environment.
发表机构
- Brazilian Center for Research in Physics (CBPF)（巴西物理研究中心（CBPF））
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