论文标题
标量调整理论的公制和palatini公式之间的通货膨胀模型的等效性
Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
论文作者
论文摘要
由于标量场非最少耦合到曲率，重力的基本几何形状和变异原理 - 公制或palatini-变得很重要，并有所作为，因为场动力学和观察性预测通常取决于此选择。在本文中，我们描述了一个分类原则，该原则涵盖了通货膨胀模型的度量和帕拉蒂尼模型，该事实是，通货膨胀可观察物可以用某些量子整齐地表达，而这些量子在保形转换和标量场中的重新定义下保持不变。当模型在公制和帕拉蒂尼形式上产生等效现象学时，这使我们能够阐明特定条件，并且还概述了如何在两个制定产生相同可观察物的配方中系统地构造不同模型的方法。
With a scalar field non-minimally coupled to curvature, the underlying geometry and variational principle of gravity - metric or Palatini - becomes important and makes a difference, as the field dynamics and observational predictions generally depend on this choice. In the present paper we describe a classification principle which encompasses both metric and Palatini models of inflation, employing the fact that inflationary observables can be neatly expressed in terms of certain quantities which remain invariant under conformal transformations and scalar field redefinitions. This allows us to elucidate the specific conditions when a model yields equivalent phenomenology in the metric and Palatini formalisms, and also to outline a method how to systematically construct different models in both formulations that produce the same observables.
