http://arxiv.org/abs/2106.02920
Defining a scale of $k$-modes of the quantum fluctuations during inflation through the dynamical horizon crossing condition $k = aH$ we go from the physical $t$ variable to $k$ variable and solve the equations of cosmological perturbations self consistently, with chaotic $\alpha$-attractor type potentials. This enables us to study the behaviour of $n_{s}$, $r$, $n_{h}$ and $N$ in the $k$-space. Comparison of our results in the low-$k$ regime with the Planck data puts constraints on the values of the $\alpha$ parameter through microscopic calculations. Both for the $E$-model and the $T$-model potentials, low values of $\alpha$ are experimentally favoured. For the $E$-model ($T$-model) the values of $\alpha<5$ ($\alpha<10$) are consistent with the Planck-2018 data in the $n_{s}$-$r$ plane at $95\%$ CL. The relevance of this study in the context of large scale structure of the universe is pointed out.
A. Sarkar, C. Sarkar and B. Ghosh
Tue, 8 Jun 21
62/86
Comments: 21 pages, 14 figures
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