发表机构
Department of Physics, University of Kurdistan（库尔德斯坦大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究分数幂律暴胀势在LQC框架下的观测可行性，通过LQC修正推导标量谱指数和张量与标量比，与多数据集对比，发现逆体积效应使理论预测在$r - n_{\rm s}$平面移动，提高模型与数据一致性。
AI 中文摘要
在此，我们在包含逆体积修正的圈量子宇宙学（LQC）有效框架内，研究分数幂律暴胀势$V(\varphi) \propto \varphi^n$（$n =$ 1/3, 2/5, 2/3）的观测可行性。通过在半经典区域对背景动力学和宇宙学微扰方程采用LQC修正，我们解析推导了标量谱指数$n_{\rm s}$和张量与标量比$r$。这些理论预测与最新的高精度联合观测约束相对比，包括ACT DR6、普朗克2018、DESI BAO和BICEP/Keck数据集（P - ACT - LB - BK18）。虽然更陡峭的经典幂律模型与现代数据存在严重紧张关系，但我们的结果表明，包含LQC逆体积效应会在$n_{\rm s}$中引起显著的负向偏移。因此，对于量子几何参数（$\sigma$和$\delta$）的特定可行范围，理论预测在$r - n_{\rm s}$平面上水平移动。这种机制成功地将经典上不受青睐的模型带回紧密约束的68%和95%置信水平，显著提高了它们与精确宇宙学数据的一致性。
英文摘要
Here, we investigate the observational viability of fractional power law inflationary potentials, $V(φ) \propto φ^n$ ($n=$ 1/3, 2/5, 2/3), within the effective framework of Loop Quantum Cosmology (LQC) incorporating inverse volume corrections. By employing LQC modifications to the background dynamics and cosmological perturbation equations in the semi-classical regime, we analytically derive the scalar spectral index $n_{\rm s}$ and the tensor-to-scalar ratio $r$. These theoretical predictions are confronted with the latest high precision joint observational constraints, including ACT DR6, Planck 2018, DESI BAO, and BICEP/Keck datasets (P-ACT-LB-BK18). While steeper classical power law models are in severe tension with modern data, our results demonstrate that the inclusion of LQC inverse volume effects induces a prominent negative shift in $n_{\rm s}$. Consequently, for specific viable ranges of the quantum geometric parameters ($σ$ and $δ$), the theoretical predictions are translated horizontally across the $r-n_{\rm s}$ plane. This mechanism successfully steers classically disfavored models back into the tightly constrained 68\% and 95\% CLs, significantly improving their consistency with precision cosmological data.
Comments21 pages, 5 figures, 2 tables
