Fractional power law inflationary potentials in loop quantum cosmology with inverse volume corrections in light of ACT observations
Year: 2026
Type: article
Abstract: Here, we investigate the observational viability of fractional power law inflationary potentials, $$V(\varphi ) \propto \varphi ^n$$ V ( φ ) ∝ φ n ( $$n=$$ 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 $$n_\textrm{s}$$ n 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 $$n_\textrm{s}$$ n s . Consequently, for specific viable ranges of the quantum geometric parameters ( $$\sigma $$ σ and $$\delta $$ δ ), the theoretical predictions are translated horizontally across the $$r-n_\textrm{s}$$ r - n 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.
Source: The European Physical Journal C
Authors: Farough Parvizi, Kayoomars Karami
Institution: University of Kurdistan
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7171455150