混合圈量子宇宙学中原初功率谱对反弹附近近似的鲁棒性
Robustness of the primordial power spectrum in hybrid loop quantum cosmology to approximations near the bounce
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中文总结 AI 辅助
该研究证明了混合圈量子宇宙学中计算特定真空态原初功率谱的解析近似的鲁棒性，发现反弹附近扰动有效质量的不同近似若捕捉到反弹特征尺度，所得功率谱无显著差异。
中文摘要 AI 辅助
我们证明了混合圈量子宇宙学中用于计算宇宙扰动原初功率谱的解析近似的鲁棒性，该近似针对近期提出的真空态（具有渐近哈密顿量对角化的非振荡态）。为探究此问题，我们研究了反弹附近这些扰动有效质量的不同近似，结果表明，若能成功捕捉反弹的特征尺度（对应功率抑制的尺度），此前研究中采用的Pöschl-Teller势与其他质量估计得到的功率谱无显著差异。
英文摘要
We prove the robustness of the analytic approximation used in (hybrid) loop quantum cosmology to compute the primordial power spectrum of the cosmological perturbations for a recently proposed vacuum state (the non-oscillatory state with asymptotic Hamiltonian diagonalization). To investigate this, we study different approximations to the effective mass of these perturbations near the bounce, showing that the Pöschl-Teller potential employed in previous works leads to indistinguishable power spectra compared to other estimations of the mass, provided that they successfully capture the characteristic scale of the bounce, which translates into a scale of power suppression.
