Primordial angular power spectrum from the alternative mass function in loop quantum cosmology

We investigate the cosmological impacts of the alternative effective mass function of the modified Mukhanov-Sasaki equation in loop quantum cosmology, which is obtained from the polymerization of the classical mass function derived in the comoving gauge. This alternative effective mass function is distinct from those in the dressed metric and the hybrid approaches and is able to generate a new structure in the primordial power spectrum. After taking the Starobinsky potential and employing a particular polymerization ansatz for the inverse Hubble rate, the effective mass function is characterized by a free parameter $\ensuremath{\xi}$. When $\ensuremath{\xi}\ensuremath{\ge}0.1$, there appears a wave-packet structure in the region preceding the almost scale invariant regime of the power spectrum and both the location and the height of the wave packet are affected by the choice of $\ensuremath{\xi}$. For the angular power spectrum, we find $\ensuremath{\xi}=0.2$ provides a curve practically indistinguishable from the one of $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ model. Our study presents a concrete example in which the fine structure of the primordial power spectrum sensitively relies on the parameters in the polymerization ansatz.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-08-28
DOI
https://doi.org/10.1103/zn57-gc6g
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
0.00

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article

Primordial angular power spectrum from the alternative mass function in loop quantum cosmology

Tao Zhu, Bao-Fei Li, Abolhassan Mohammadi
Physical review. D/Physical review. D.
Noncommutative and Quantum Gravity Theories
article

Primordial angular power spectrum from the alternative mass function in loop quantum cosmology

Tao Zhu, Bao-Fei Li, Abolhassan Mohammadi
article en

Abstract

We investigate the cosmological impacts of the alternative effective mass function of the modified Mukhanov-Sasaki equation in loop quantum cosmology, which is obtained from the polymerization of the classical mass function derived in the comoving gauge. This alternative effective mass function is distinct from those in the dressed metric and the hybrid approaches and is able to generate a new structure in the primordial power spectrum. After taking the Starobinsky potential and employing a particular polymerization ansatz for the inverse Hubble rate, the effective mass function is characterized by a free parameter $\ensuremath{\xi}$. When $\ensuremath{\xi}\ensuremath{\ge}0.1$, there appears a wave-packet structure in the region preceding the almost scale invariant regime of the power spectrum and both the location and the height of the wave packet are affected by the choice of $\ensuremath{\xi}$. For the angular power spectrum, we find $\ensuremath{\xi}=0.2$ provides a curve practically indistinguishable from the one of $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ model. Our study presents a concrete example in which the fine structure of the primordial power spectrum sensitively relies on the parameters in the polymerization ansatz.

Physical review. D/Physical review. D.Vol. 112(4)
Zhejiang University of Technology (CN)
National Natural Science Foundation of China, National Key Research and Development Program of China, Natural Science Foundation of Zhejiang Province
Openalex Percentile: Top 82%
Noncommutative and Quantum Gravity Theories
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Primordial angular power spectrum from the alternative mass function in loop quantum cosmology — Tao Zhu, Bao-Fei Li, et al. · Physical review. D/Physical review. D. (2025) | TGRS Research Map | TGRS