论文标题

关于几何通货膨胀模型中通货膨胀的量子起源

On the quantum origin of inflation in the geometric inflation model

论文作者

Quiros, Israel, De Arcia, Roberto, García-Salcedo, Ricardo, Gonzalez, Tame, Cedeño, Francisco X. Linares, Nucamendi, Ulises

论文摘要

在本文中,我们通过动态系统理论的工具来研究几何通胀的宇宙学动力学。我们专注于对两个显式模型的研究,在这些模型中可以概括形式主义中出现的一系列无限的较高曲率校正。这些可能是非常有趣的可能性,因为如果将重力视为量子有效理论,那么一个关键特征是,曲率不变性的较高功能涉及较高的循环。因此,天真地考虑整个无限曲面塔的不变塔等于考虑所有高阶循环。讨论了这些玩具模型在相空间中的全局动力学,并暴露了原始通胀的量子起源。

In this paper we investigate the cosmological dynamics of geometric inflation by means of the tools of the dynamical systems theory. We focus in the study of two explicit models where it is possible to sum the infinite series of higher curvature corrections that arises in the formalism. These would be very interesting possibilities since, if regard gravity as a quantum effective theory, a key feature is that higher powers of the curvature invariants are involved at higher loops. Hence, naively, consideration of the whole infinite tower of curvature invariants amounts to consideration of all of the higher order loops. The global dynamics of these toy models in the phase space is discussed and the quantum origin of primordial inflation is exposed.

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