论文标题

软性保姆有效理论

Soft de Sitter Effective Theory

论文作者

Cohen, Timothy, Green, Daniel

论文摘要

众所周知,在超级罐尺度上计算De Sitter宇宙的量子演变是困难的。为了应对这一挑战,我们介绍了Soft De Sitter有效理论(SDSET)。该框架适用于超级磨牙模式,其共同动量远低于紫外线量表,该模式由逆向com comoving Horizo​​n设置。 SDSET是使用与产生重夸克有效理论的相同方法制定的。捕获长波长动力学的自由度是通过对运动方程的增长和腐烂的解决方案来识别的。使用功率计数方案组织了操作员的扩展,并且可以在尊重低能对称性的同时调节循环。对于固定的de保姆背景中的大量量子场,功率计数意味着超出地平线以外的所有相互作用都是无关紧要的。另外,如果场很轻,则主要相互作用最多是边缘的,并且使用(动态)重归于组的技术重新召集相关的对数可以产生规范随机膨胀的进化方程。 SDSET还适用于重力是动态性(包括通货膨胀)的模型。在这种情况下,差异不变性可确保所有相互作用无关紧要,这在琐碎地暗示了绝热密度波动和引力波的全部保存。我们通过识别新颖的相关操作员来简要介绍应用程序以缓慢的永恒通胀。这项工作旨在揭开扰动理论在地平线之外的许多方面,并在宇宙学兴趣问题上有各种各样的应用。

Calculating the quantum evolution of a de Sitter universe on superhorizon scales is notoriously difficult. To address this challenge, we introduce the Soft de Sitter Effective Theory (SdSET). This framework holds for superhorizon modes whose comoving momentum is far below the UV scale, which is set by the inverse comoving horizon. The SdSET is formulated using the same approach that yields the Heavy Quark Effective Theory. The degrees of freedom that capture the long wavelength dynamics are identified with the growing and decaying solutions to the equations of motion. The operator expansion is organized using a power counting scheme, and loops can be regulated while respecting the low energy symmetries. For massive quantum fields in a fixed de Sitter background, power counting implies that all interactions beyond the horizon are irrelevant. Alternatively, if the fields are very light, the leading interactions are at most marginal, and resumming the associated logarithms using (dynamical) renormalization group techniques yields the evolution equation for canonical stochastic inflation. The SdSET is also applicable to models where gravity is dynamical, including inflation. In this case, diffeomorphism invariance ensures that all interactions are irrelevant, trivially implying the all-orders conservation of adiabatic density fluctuations and gravitational waves. We briefly touch on the application to slow-roll eternal inflation by identifying novel relevant operators. This work serves to demystify many aspects of perturbation theory outside the horizon, and has a variety of applications to problems of cosmological interest.

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