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arXiv 2201.03160hep-thastro-ph.COgr-qc
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多形场各向同性暴胀的几何结构与原初涨落

Geometric structure of multi-form-field isotropic inflation and primordial fluctuations

Chong-Bin Chen, Jiro Soda

摘要:

暴胀的情形有望被嵌入紫外线(UV)完备理论,如弦论。UV完全理论的效应在低能有效场论中可能表现为非平凡的动力学项,它提供了场空间中的非平凡几何。在本文中,我们研究了多形场空间的几何形状对暴胀情形的影响。特别是,我们专注于几何不稳定机制,诱导相变从传统的慢卷暴胀到一个新的暴胀的情况。各向异性暴胀是新相的一个典型例子。为了符合观测,我们限制我们的形式场的各向同性配置。我们澄清了不稳定的发病条件,并揭示了不稳定后的吸引子的几何结构。我们从观测的角度对可行的模型进行了分类。我们还研究了原始涨落的特征,发现它与双曲暴胀有相似之处。通过计算功率谱,我们作出了一些唯象的预测,这些预测有助于我们的模型与其他暴胀模型的区别。我们发现标量到张量的$r$将被大的单形规范场所抑制,而对于大的二形规范场,它与慢滚参数$r\sim\mathcal{O}(1)ε$具有相同的量级.

英文摘要:

An inflationary scenario is expected to be embedded into an ultraviolet (UV) complete theory such as string theory. The effect of UV complete theories may appear as nontrivial kinetic terms in the low energy effective field theory, which provides a nontrivial geometry in field space. In this paper, we study the effect of the geometry of multi-form-field space on an inflationary scenario. In particular, we focus on the geometric destabilization mechanism which induces the phase transition from the conventional slow-roll inflation to a novel inflationary scenario. Anisotropic inflation is a typical example of the new phase. To conform to observations, we restrict us to isotropic configuration of form fields. We clarify the conditions for the onset of the destabilization and reveal the geometric structure of attractors after the destabilization. We classify the viable models from the observational point of view. We also investigate the features of the primordial fluctuations and find the similarity to hyperbolic inflation. By calculating the power spectrum, we make several phenomenological predictions which are useful to discriminate our models from others inflation models. We found the scalar-to-tensor $r$ will be suppressed by large one-form gauge fields, while it has the same order as the slow roll parameter $r\sim\mathcal{O}(1)ε$ for large two-from gauge fields.

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