论文标题
在多场通货膨胀中，可观察力作为模型特征的缩放行为
Scaling behavior of observables as a model characteristic in multifield inflation
论文作者
论文摘要
通货膨胀的基本问题之一是如何表征现场理论景观中不同类型模型的结构。朝这个方向的建议包括通过考虑电势的复杂性度量来直接表征理论的形式结构的尝试。一种替代性的内在方法是关注不同模型导致的观测值的行为，并询问其行为是否在模型之间有所不同。这种类型的分析甚至可以应用于非平凡的多场理论，在这种理论中，模型的复杂性的自然度量并不明显，并且对可观察到的分析评估通常是不可能的。在这种情况下，人们仍然可以通过数字计算这些可观察到的东西并研究它们的行为。一个有趣的情况是，当可观察结果显示出缩放行为时，在这种情况下，可以根据其缩放幅度和指数来表征理论。通常，模型具有非平凡的参数空间，导致指数是这些参数的函数。在这种情况下，我们考虑了一个迭代程序，以确定指数是否起作用是否导致缩放行为。我们表明，模块化通货膨胀模型可以以简单缩放定律的家族为特征，并且以这种方式出现的缩放指数依次显示了这些变化的能量尺度的缩放定律。
One of the fundamental questions in inflation is how to characterize the structure of different types of models in the field theoretic landscape. Proposals in this direction include attempts to directly characterize the formal structure of the theory by considering complexity measures of the potentials. An alternative intrinsic approach is to focus on the behavior of the observables that result from different models and to ask whether their behavior differs among models. This type of analysis can be applied even to nontrivial multifield theories where a natural measure of the complexity of the model is not obvious and the analytical evaluation of the observables is often impossible. In such cases one may still compute these observables numerically and investigate their behavior. One interesting case is when observables show a scaling behavior, in which case theories can be characterized in terms of their scaling amplitudes and exponents. Generically, models have nontrivial parameter spaces, leading to exponents that are functions of these parameters. In such cases we consider an iterative procedure to determine whether the exponent functions in turn lead to a scaling behavior. We show that modular inflation models can be characterized by families of simple scaling laws and that the scaling exponents that arise in this way in turn show a scaling law in dependence of these varying energy scales.
