%0 Journal Article
%T Improved calculation of relic gravitational waves
%A Zhao Wen
%A <br>赵文
%J 中国物理 B
%D 2007
%I 
%X In this paper, we have improved the calculation of the relic gravitational waves (RGW) in two aspects. First, we investigate the transfer function by taking into consideration the redshift-suppression effect, the accelerating expansion effect, the damping effect of free-streaming relativistic particles, and the damping effect of cosmic phase transition, and give a simple approximate analytic expression, which clearly illustrates the dependence on the cosmological parameters. Second, we develop a numerical method to calculate the primordial power spectrum of RGW in a very wide frequency range, where the observed constraints on $n_{\rm s}$ (the scalar spectral index) and $P_{\rm S}(k_0)$ (the amplitude of primordial scalar spectrum) and the Hamilton--Jacobi equation are used. This method is applied to two kinds of inflationary models, which satisfy the current constraints on $n_{\rm s}$, $\alpha$ (the running of $n_{\rm s}$) and $r$ (the tensor--scalar ratio). We plot them in the $r-{\it\Omega}_{\rm g}$ diagram, where ${\it\Omega}_{\rm g}$ is the strength of RGW, and study their measurements from the cosmic microwave background (CMB) experiments and laser interferometers.
%K relic gravitational waves
%K inflation<br>残余引力波
%K 计算方法
%K 理论物理
%K 宇宙微波
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=51EC29F0F1FE479638A47CC9CF2A4502&yid=A732AF04DDA03BB3&vid=7801E6FC5AE9020C&iid=F3090AE9B60B7ED1&sid=9411B3E76DE9D97F&eid=12793A0676704211&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=68