Various scenarios of cosmic inflation enhance the amplitude of the stochastic gravitational wave background (SGWB) at frequencies detectable by the LISA detector. We develop tools for a template-based analysis of the SGWB and introduce a template databank to describe well-motivated signals from inflation, prototype their template-based searches, and forecast their reconstruction with LISA. Specifically, we classify seven templates based on their signal frequency shape, and we identify representative fundamental physics models leading to them. By running a template-based analysis, we forecast the accuracy with which LISA can reconstruct the template parameters of representative benchmark signals, with and without galactic and extragalactic foregrounds. We identify the parameter regions that can be probed by LISA within each template. Finally, we investigate how our signal reconstructions shed light on fundamental physics models of inflation: we discuss their impact for measurements of e.g., the couplings of inflationary axions to gauge fields; the graviton mass during inflation; the fluctuation seeds of primordial black holes; the consequences of excited states during inflation, and the presence of small-scale spectral features.

中文翻译：

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LISA 中膨胀产生的引力波：重建管道和物理解释


宇宙膨胀的各种情景在 LISA 探测器可检测到的频率上增强了随机引力波背景 （SGWB） 的振幅。我们开发了用于 SGWB 的基于模板的分析工具，并引入了一个模板数据库来描述来自通货膨胀的良好动机信号，对他们基于模板的搜索进行原型设计，并使用 LISA 预测它们的重建。具体来说，我们根据信号频率形状对 7 个模板进行分类，并确定了导致它们的代表性基础物理模型。通过运行基于模板的分析，我们预测了 LISA 在有和没有银河系和星系外前景的情况下重建代表性基准信号的模板参数的准确性。我们确定了每个模板中 LISA 可以探测的参数区域。最后，我们研究了我们的信号重建如何阐明充气的基本物理模型：我们讨论了它们对测量的影响，例如，充气轴子与仪表场的耦合;膨胀过程中的引力子质量;原始黑洞的波动种子;膨胀过程中激发态的后果，以及小尺度光谱特征的存在。