Non-linear matter power spectrum from Time Renormalisation Group: efficient computation and comparison with one-loop
Non-linear matter power spectrum from Time Renormalisation Group: efficient computation and comparison with one-loop
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时间重整组的非线性物质功率谱：高效计算以及与单循环的比较
DOI：
10.1088/1475-7516/2011/10/037
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发表时间：
2011
影响因子：
6.4
通讯作者：
J. Lesgourgues
中科院分区：
文献类型：
--
作者：
B. Audren;J. Lesgourgues
我们用有效的半解析方法解决了在弱非线性尺度上计算非线性物质功率谱的问题。我们在一个新的Boltzmann码类的数值模块中实现了M.Pietroni的时间重整化群(TRG)方法及其动态1-环(D1L)极限。我们公开发布的模块对Lambda CDM模型有效，并在这种情况下进行了优化，D1L在一分钟内运行，TRG在一小时内(除以节点数)运行。对D1L、TRG和标准1-Loop方法的仔细比较表明，结果主要取决于假设的高红移时的初始双谱。当从一个共同的假设出发时，这三种方法给出的结果大致相同，表明TRG方法中超出一个循环的图的部分恢复对单循环结果的改善可以忽略不计。与M.Sato和T.Matsubara的高精度模拟的比较表明，这三种方法在小波长上都倾向于以相同的量过度预测非线性修正。对于z>；=2，直到k类似于0.2hMpc(-)1，或者在z=1时，直到k类似于0.14hMpc(-1)，才能达到百分比精度。
We address the issue of computing the non-linear matter power spectrum on mildly non-linear scales with efficient semi-analytic methods. We implemented M. Pietroni's Time Renormalization Group (TRG) method and its Dynamical 1-Loop (D1L) limit in a numerical module for the new Boltzmann code CLASS. Our publicly released module is valid for Lambda CDM models, and optimized in such away to run in less than a minute for D1L, or in one hour (divided by number of nodes) for TRG. A careful comparison of the D1L, TRG and Standard 1-Loop approaches reveals that results depend crucially on the assumed initial bispectrum at high redshift. When starting from a common assumption, the three methods give roughly the same results, showing that the partial resumation of diagrams beyond one loop in the TRG method improves one-loop results by a negligible amount. A comparison with highly accurate simulations by M. Sato & T. Matsubara shows that all three methods tend to over-predict non-linear corrections by the same amount on small wavelengths. Percent precision is achieved until k similar to 0.2 hMpc(-)1 for z >= 2, or until k similar to 0.14 hMpc(-1) at z = 1.
影响因子：
6.4
作者：
M. Pietroni
通讯作者：
M. Pietroni