论文标题

超轻轴的精确有效流体近似

Accurate effective fluid approximation for ultralight axions

论文作者

Passaglia, Samuel, Hu, Wayne

论文摘要

在理论上是有趣且现象学上丰富的黑暗区域的候选者,但是由于它们的快速振荡,它们很难在宇宙学时标进行跟踪。我们通过开发一种新颖的方法来有效,准确地发展它们来解决这个问题。我们首先构建一种精确的有效流体,该流体在后期与轴匹配,但以简单的方式演变。然后,我们使用精心选择的状态和音速方程来近似这种演变。通过我们的方案,我们发现我们可以获得相对于冷暗物质的线性理论抑制轴突密度波动的线性理论的次级精度,而无需跟踪轴突场的单个完全振荡。我们使用我们的技术来测试其他近似方案,并为轴突模型中线性理论中物质功率谱的传输函数提供拟合公式。在现有的宇宙学轴承代码中实施我们的方法很简单,将有助于释放高精度下一代实验的潜力。

Ultralight axions are theoretically interesting and phenomenologically rich dark sector candidates, but they are difficult to track across cosmological timescales because of their fast oscillations. We resolve this problem by developing a novel method to evolve them efficiently and accurately. We first construct an exact effective fluid which at late times matches the axion but which evolves in a simple way. We then approximate this evolution with a carefully chosen equation of state and sound speed. With our scheme we find that we can obtain subpercent accuracy for the linear theory suppression of axion density fluctuations relative to that of cold dark matter without tracking even a single complete oscillation of the axion field. We use our technique to test other approximation schemes and to provide a fitting formula for the transfer function for the matter power spectrum in linear theory in axion models. Implementing our approach in existing cosmological axion codes is straightforward and will help unleash the potential of high-precision next-generation experiments.

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