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arXiv 1201.6342hep-thastro-ph.COgr-qchep-ph
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重场作用下单场暴胀的有效理论

Effective theories of single field inflation when heavy fields matter

Ana Achucarro, Jinn-Ouk Gong, Sjoerd Hardeman, Gonzalo A. Palma, Subodh P. Patil

备注：
(v1) 25 pages, 1 figure; (v2) references added and typos corrected, to appear in Journal of High Energy Physics
发表信息：
JHEP 1205 (2012) 066
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摘要：

我们计算了单场暴胀模型的低能有效场论（EFT）展开，该模型起源于包含多个其他标量场的母理论。通过假设母理论中的所有其他自由度相对于暴胀子都有足够的质量，只要满足某些广义绝热性条件，就有可能推导出在扰动下对任意阶有效的EFT。这些条件允许一致的低能量EFT描述，即使当暴胀子偏离其绝热最小值沿其缓慢滚动的轨迹。通过概括的形式主义，确定绝热模式与戈德斯通玻色子的自发破缺的时间平移对称性之前的重场的整合，我们表明，这种不变性的父理论决定了整个非微扰结构的后裔EFT。这个理论的耦合可以完全用绝热扰动的降低的声速来表示。由此产生的操作员扩展与其他场景（如标准单次充气或DBI充气）的操作员扩展不同。特别是，我们重新推导出某些运营商如何可以成为瞬态强耦合沿暴胀子轨迹，符合慢卷和EFT扩展的有效性，印记功能的原始功率谱，我们推导出相关的三次运营商，意味着不同的签名，在原始的双谱可能很快会受到约束的意见。

英文摘要：

We compute the low energy effective field theory (EFT) expansion for single-field inflationary models that descend from a parent theory containing multiple other scalar fields. By assuming that all other degrees of freedom in the parent theory are sufficiently massive relative to the inflaton, it is possible to derive an EFT valid to arbitrary order in perturbations, provided certain generalized adiabaticity conditions are respected. These conditions permit a consistent low energy EFT description even when the inflaton deviates off its adiabatic minimum along its slowly rolling trajectory. By generalizing the formalism that identifies the adiabatic mode with the Goldstone boson of this spontaneously broken time translational symmetry prior to the integration of the heavy fields, we show that this invariance of the parent theory dictates the entire non-perturbative structure of the descendent EFT. The couplings of this theory can be written entirely in terms of the reduced speed of sound of adiabatic perturbations. The resulting operator expansion is distinguishable from that of other scenarios, such as standard single inflation or DBI inflation. In particular, we re-derive how certain operators can become transiently strongly coupled along the inflaton trajectory, consistent with slow-roll and the validity of the EFT expansion, imprinting features in the primordial power spectrum, and we deduce the relevant cubic operators that imply distinct signatures in the primordial bispectrum which may soon be constrained by observations.

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