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arXiv 1503.00702hep-phgr-qchep-th
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渐近安全理论的暴胀

Inflation from Asymptotically Safe Theories

Niklas Grønlund Nielsen, Francesco Sannino, Ole Svendsen

摘要:

我们调查模型中,通货膨胀是由紫外线安全和相互作用的标量部门产生的一类新的非超对称规范场理论。这些新的理论,不同于一般的标量模型,定义到任意短的距离,因为存在一个可控的紫外相互作用的不动点。在紫外固定点的标量耦合和他们的整体运行的基础理论的几何结构预测。我们分析了这些理论与引力的最小和非最小耦合以及对暴胀的影响。在最小耦合情况下,理论需要对量子势进行大的非微扰量子修正,以使理论与数据一致,而在非最小耦合情况下,理论耦合中的微扰机制是优选的。要求理论再现所观察到的密度扰动幅度约束了理论的几何数据,例如非最小耦合的通用值的颜色和味道的数量。

英文摘要:

We investigate models in which inflation is driven by an ultraviolet safe and interacting scalar sector stemming from a new class of nonsupersymmetric gauge field theories. These new theories, differently from generic scalar models, are well defined to arbitrary short distances because of the existence of a controllable ultraviolet interacting fixed point. The scalar couplings at the ultraviolet fixed point and their overall running are predicted by the geometric structure of the underlying theory. We analyse the minimal and non-minimal coupling to gravity of these theories and the consequences for inflation. In the minimal coupling case the theory requires large non-perturbative quantum corrections to the quantum potential for the theory to agree with data, while in the non- minimal coupling case the perturbative regime in the couplings of the theory is preferred. Requiring the theory to reproduce the observed amplitude of density perturbations constrain the geometric data of the theory such as the number of colors and flavors for generic values of the non-minimal coupling.

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