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arXiv 0910.5220astro-ph.COhep-th
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重子和暗物质的宇宙学扰动理论I:RPT框架中的单圈修正

Cosmological perturbation theory for baryons and dark matter I: one-loop corrections in the RPT framework

Gabor Somogyi, Robert E. Smith

摘要:

我们推广了Crocce & Scoccimarro(2006 a)的“重整化”微扰理论(RPT)形式,以处理宇宙中的多种流体,在这里,我们提出了单圈水平的计算。我们将这种方法应用于重子和冷暗物质(CDM)扰动的非线性演化,从不同的初始条件。在目前的结构形成模型中,标准做法是将重子和CDM视为有效的单组分流体。在这个近似中,我们使用了一个加权和的晚期重子和CDM转移函数来设置初始条件。在这里,我们探讨这种方法是否可以用于高精度的工作。我们表明,即使是一个纯线性的治疗,有一个大规模的尺度依赖的重子和CDM之间的偏差为WMAP 5宇宙学。直到今天,这种偏差都大于1%,因为引力松弛使它趋向统一。使用RPT形式主义,我们测试这种近似的非线性制度,并表明,CDM功率谱在2-组分流体中的不同,从一个1-组分的流体中得到的约3%的尺度上的顺序k~0.05 h/Mpc在z=10,和~0.5%在z=0。然而,对于重子的情况更糟,我们发现,在z=10时,在k~0.05 h/Mpc尺度上,功率谱被抑制了~15%,在z=0时,相对于总物质,功率谱被抑制了~3-5%。重要的是,除了谱的抑制,重子声振荡(BAO)被放大的重子和CDM谱阻尼。因此,高精度的重子模型不能通过CDM单独的模拟探测; BAO的探测意义将在研究重子物质的探针中被放大。总质量可以在任何时候使用单组分流体方法精确建模。(节录)

英文摘要:

We generalize the `renormalized' perturbation theory (RPT) formalism of Crocce & Scoccimarro (2006a) to deal with multiple fluids in the Universe and here we present calculations up to the one-loop level. We apply the approach to the non-linear evolution of baryon and cold dark matter (CDM) perturbations, evolving from distinct sets of initial conditions. In current models of structure formation, it is standard practice to treat baryons and CDM as an effective single component fluid. In this approximation, one uses a weighed sum of late-time baryon and CDM transfer functions to set initial conditions. Here, we explore whether this approach can be used for high precision work. We show that, even for a pure linear treatment, there is a large-scale scale-dependent bias between baryons and CDM for WMAP5 cosmology. This bias is >1% until the present day, when it is driven towards unity through gravitational relaxation. Using the RPT formalism we test this approximation in the non-linear regime, and show that the CDM power spectrum in the 2-component fluid differs from that obtained from a 1-component fluid by ~3% on scales of order k~0.05 h/Mpc at z=10, and by ~0.5% at z=0. However, for the case of baryons the situation is worse and we find that the power spectrum is suppressed by ~15% on scales k~0.05 h/Mpc at z=10, and by ~3-5% at z=0, relative to the total matter. Importantly, besides the suppression of the spectrum, baryonic acoustic oscillations (BAO) are amplified for baryon and damped for CDM spectra. Thus, high precision modeling of baryons can not be probed through CDM only simulations; detection significance of BAO will be amplified in probes that study baryonic matter. Total mass can be modeled accurately using a 1-component fluid approach at all times. (Abridged)

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