Effect of the length of inflation on angular TT and TE power spectra in power-law inflation

Effect of the length of inflation on angular TT and TE power spectra in power-law inflation
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幂律暴胀中暴胀长度对角 TT 和 TE 功率谱的影响

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
T. Takami
T. Takami
中科院分区:
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文献类型:
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作者:
S. Hirai;T. Takami

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暴胀长度对标量和张量扰动功率谱的影响可以用幂律暴胀模型来估计,其尺度因子为a(η)=(−η)p = tq。考虑暴胀前辐射主导或标量物质主导的各种暴胀前模型,结合两种匹配条件,计算了温度角功率谱(TT)和温度-偏振互功率谱(TE),并进行了似然分析.结果表明,威尔金森微波各向异性探测器(WMAP)数据与ΛCDM模型的差异,如在l = 2,3处谱的抑制和振荡行为,可以用有限长暴胀模型来解释,如果暴胀长度接近60 e-折叠和q = 300。在拟合WMAP数据方面,所提出的模型保留了与ΛCDM模型所实现的χ2相似的χ2值,但在1 θ 20处显示出不同的角TE功率谱特征。
The effect of the length of inflation on the power spectra of scalar and tensor perturbations is estimated using the power-law inflation model with a scale factor of a(η) = (−η)p = tq. Considering various pre-inflation models with radiation-dominated or scalar matter-dominated periods before inflation in combination with two matching conditions, the temperature angular power spectrum (TT) and temperature–polarization cross-power spectrum (TE) are calculated and a likelihood analysis is performed. It is shown that the discrepancies between the Wilkinson microwave anisotropy probe (WMAP) data and the ΛCDM model, such as suppression of the spectrum at l = 2, 3 and oscillatory behaviour, may be explained by the finite length of inflation model if the length of inflation is near 60 e-folds and q ⩾ 300. The proposed models retain similar values of χ2 to that achieved by the ΛCDM model with respect to fit to the WMAP data, but display different characteristics of the angular TE power spectra at l ⩽ 20.