Fractional power law inflationary potentials in loop quantum cosmology with inverse volume corrections in light of ACT observations
- 1University of Kurdistan
Abstract
Here, we investigate the observational viability of fractional power law inflationary potentials, V(φ ) ∝ φ 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 ns 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 ns n s . Consequently, for specific viable ranges of the quantum geometric parameters ( σ σ and δ δ ), the theoretical predictions are translated horizontally across the r−ns 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.
Related
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- Scale-Dependent Loop Corrections to the Inflationary Power Spectrum
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- From quantum correlations to inflationary tracking scalar field evolution
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BibTeX
@article{parvizi2026fractional,
title = {{Fractional power law inflationary potentials in loop quantum cosmology with inverse volume corrections in light of ACT observations}},
author = {Farough Parvizi and Kayoomars Karami},
journal = {The European Physical Journal C},
year = {2026},
month = oct,
doi = {10.1140/epjc/s10052-026-16380-x},
url = {https://link.springer.com/10.1140/epjc/s10052-026-16380-x},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Fractional power law inflationary potentials in loop quantum cosmology with inverse volume corrections in light of ACT observations
AU - Farough Parvizi
AU - Kayoomars Karami
PY - 2026
DA - 2026/10/01
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16380-x
UR - https://link.springer.com/10.1140/epjc/s10052-026-16380-x
AB - Here, we investigate the observational viability of fractional power law inflationary potentials, V(φ ) ∝ φ ^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_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_s n s . Consequently, for specific viable ranges of the quantum geometric parameters ( σ σ and δ δ ), the theoretical predictions are translated horizontally across the r−n_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.
SN - 1434-6044
SN - 1434-6052
ER -