论文标题
关于连续性有效的场理论，重力和全息图
On Continuum Effective Field Theories, Gravity and Holography
论文作者
论文摘要
我们检查了在重力存在下具有连续部门的有效野外理论（EFT）。我们首先通过基于中央电荷和物种量表的论点解释，具有自由连续体的EFT不能始终如一地将标准性（即4d Einstein）重力搭配。因此，具有免费或几乎没有连续体的EFT必须具有有限数量的自由度或非标准的重力。后一种主张是针对全息定义的连续体模型实现的。我们通过计算特定5D标量重力系统中标准重力的偏差来证明这一点，从而产生了差异连续体（即线性dilaton背景）。我们发现$ r^{ - 2} $偏离牛顿潜力。在有限的温度下，我们发现了弗里德曼方程中具有类似物质行为的能量密度，这是从块状几何形状诱导的。因此，值得注意的是，生活在线性dilaton背景中的brane世界自动包含暗物质。我们还提出了一个渐渐发展的线性DILATON模型，为此，偏差表现出ADS和线性DiLATON行为之间的过渡。
We examine effective field theories (EFTs) with a continuum sector in the presence of gravity. We first explain, via arguments based on central charge and species scale, that an EFT with a free continuum cannot consistently couple to standard (i.e. 4D Einstein) gravity. It follows that EFTs with a free or nearly-free continuum must either have a finite number of degrees of freedom or nonstandard gravity. The latter claim is realized for holographically-defined continuum models. We demonstrate this by computing the deviations from standard gravity in a specific 5D scalar-gravity system that gives rise to a gapped continuum (i.e the linear dilaton background). We find an $R^{-2}$ deviation from the Newtonian potential. At finite temperature we find an energy density with matter-like behavior in the brane Friedmann equation, holographically induced from the bulk geometry. Thus, remarkably, a brane-world living in the linear dilaton background automatically contains dark matter. We also present a slightly more evolved asymptotically-AdS linear dilaton model, for which the deviations exhibit a transition between AdS and linear dilaton behaviors.
