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arXiv · 2412.16268

Reconstructing square-law k-inflation from Planck data

Ming Liu·Tong-Yu He·Bohai Chen·Zhan-Wen Han·Rong-Jia Yang
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Abstract

We explore a square-law k-inflation using the Hamilton-Jacobi approach. Focusing on scenarios where the Hubble parameter exhibits a power-law dependence on the k-field, our analysis encompasses the computations of crucial observables, such as the scalar power spectrum, the tensor-to-scalar ratio, and the scalar spectral index. We further constrain the model's parameters using Planck data and present a specific form of the potential. Our results demonstrate that the model aligns well with observational data.

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Ming Liu, Tong-Yu He, Bohai Chen, Zhan-Wen Han, Rong-Jia Yang. 2024-12-20. Reconstructing square-law k-inflation from Planck data. https://doi.org/10.1016/j.dark.2025.102039

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