论文标题
在不断扩展的宇宙中非依层的有效理论:诱发的自我交互,压力,音速和粘度
Effective theories for a nonrelativistic field in an expanding universe: Induced self-interaction, pressure, sound speed, and viscosity
论文作者
论文摘要
在扩展的时空中,通常由无压力的完美流体近似地近似,这是一个标准的结论,即这样的磁场可以发挥冷暗物质的作用,通常会在扩展的时空中进行大规模的非依赖主义标量场。在本文中,我们系统地研究了这些近似值,并结合了斜度校正。我们提供了两个同等的有效描述,每个系统都提供了其自身的优势和见解:(i)一种非依赖性的有效田野理论(EFT),我们表明相对论校正会引起对非遗传性领域的有效自我相互作用。作为副产品,我们的EFT还允许人们构建精确的解决方案,包括振荡行为,这通常很难从确切的方程式中实现。 (ii)有效的(不完美的)流体描述,我们证明,对于扰动的Friedmann-Lema-Robertson-Walker(FLRW)宇宙而言,我们的压力很小,但对于没有树级别的自我接触的自由理论,压力也很小,但即使是肯定的)。 (b)小波动的音速也是非零(和正),重现已经知道的前阶结果,纠正亚较大项,并确定了先前分析中省略的新贡献。 (c)波动经历了负面有效的粘度。积极的音速和负大体粘度分别对过度繁殖的增长作用。净效应可能被认为是用于超光暗物质的吸烟枪。
A massive, nonrelativistic scalar field in an expanding spacetime is usually approximated by a pressureless perfect fluid, which leads to the standard conclusion that such a field can play the role of cold dark matter. In this paper, we systematically study these approximations, incorporating subleading corrections. We provide two equivalent effective descriptions of the system, each of which offers its own advantages and insights: (i) A nonrelativistic effective field theory (EFT) with which we show that the relativistic corrections induce an effective self-interaction for the nonrelativistic field. As a byproduct, our EFT also allows one to construct the exact solution, including oscillatory behavior, which is often difficult to achieve from the exact equations. (ii) An effective (imperfect) fluid description, with which we demonstrate that, for a perturbed Friedmann-Lemaître-Robertson-Walker (FLRW) universe: (a) The pressure is small but nonzero (and positive), even for a free theory with no tree-level self-interactions. (b) The sound speed of small fluctuations is also nonzero (and positive), reproducing already known leading-order results, correcting a subdominant term, and identifying a new contribution that had been omitted in previous analyses. (c) The fluctuations experience a negative effective bulk viscosity. The positive sound speed and the negative bulk viscosity act in favor of and against the growth of overdensities, respectively. The net effect may be considered a smoking gun for ultra-light dark matter.