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Related papers: Reconciling early dark energy with a Harrison-Zeld…

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Recently, it has been found that complete resolution of the Hubble tension might point to a scale-invariant Harrison-Zeldovich spectrum of primordial scalar perturbation, i.e. $n_s=1$ for $H_0\sim 73$km/s/Mpc. We show that for well-known…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Gen Ye , Jun-Qian Jiang , Yun-Song Piao

Inflation predicts primordial scalar perturbations with a nearly scale-invariant spectrum and a spectral index approximately unity (the Harrison--Zel'dovich (HZ) spectrum). The first important step for inflationary cosmology is to check the…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-28 S. Pandolfi , A. Cooray , E. Giusarma , E. W. Kolb , A. Melchiorri , O. Mena , P. Serra

The early dark energy resolution of Hubble tension seems to be suggesting a scale-invariant Harrison-Zeldovich spectrum of primordial scalar perturbation, i.e. $n_s=1$ ($|n_s-1|\sim {\cal O}(0.001)$) for $H_0\sim 73$km/s/Mpc. In this work,…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-06 Hao-Shi Yuan , Ze-Yu Peng , Yun-Song Piao

In the era of Planck cosmology, the inflationary paradigm is best fitted toward the cosmological attractor scenarios, including the induced inflation, universal attractors, conformal attractors, and special attractors that are cataloged as…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-28 Chengjie Fu , Di Lu , Shao-Jiang Wang

The spectral index $n_s$ of scalar perturbation is the significant initial condition set by inflation theory for our observable Universe. According to Planck results, current constraint is $n_s = 0.965\pm 0.004$, while an exact…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 Jun-Qian Jiang , Gen Ye , Yun-Song Piao

Measuring the deviation from scale invariance of the primordial power spectrum is a critical test of inflation. In this paper we reconstruct the shape of the primordial power spectrum of curvature perturbations from the cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-01 Zong-Kuan Guo , Dominik J. Schwarz , Yuan-Zhong Zhang

We investigate constraints on power spectra of the primordial curvature and tensor perturbations with priors based on single-field slow-roll inflation models. We stochastically draw the Hubble slow-roll parameters and generate the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Masahiro Kawasaki , Toyokazu Sekiguchi

Detailed analyses of the WMAP data indicate possible oscillatory features in the primordial curvature perturbation, which moreover appears to be suppressed beyond the present Hubble radius. Such deviations from the usual inflationary…

Astrophysics · Physics 2014-11-18 Paul Hunt , Subir Sarkar

Current cosmological constraints on the scalar spectral index of primordial fluctuations $n_{\rm s}$ in the $\Lambda$CDM model have excluded the minimal scale-invariant Harrison-Zel'dovich model ($n_{\rm s}=1$; hereafter HZ) at high…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-26 Eleonora Di Valentino , Alessandro Melchiorri , Yabebal Fantaye , Alan Heavens

Standard inflation with one scalar field produces primordial perturbations with a nearly flat ('Harrison-Zeldovich') power spectrum. Here we consider first, a double inflation spectrum, and second, a massive scalar field with an interaction…

Astrophysics · Physics 2016-08-30 Lutz V. Semig , Volker Mueller

In prerecombination resolutions of the Hubble tension, such as early dark energy, new physics before recombination shifts the values of relevant cosmological parameters so that the models can fit with cosmic microwave background and baryon…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-15 Gen Ye , Bin Hu , Yun-Song Piao

Inflation is now an accepted paradigm in standard cosmology, with its predictions consistent with observations of the cosmic microwave background. It lacks, however, a firm physical theory, with many possible theoretical origins beyond the…

Astrophysics · Physics 2009-01-16 Nishant Agarwal , Rachel Bean

We extract parameters relevant for distinguishing among single-field inflation models from the Wilkinson Microwave Anisotropy Probe (WMAP) three-year data set, and also from WMAP in combination with the Sloan Digital Sky Survey (SDSS)…

Astrophysics · Physics 2008-11-26 William H. Kinney , Edward W. Kolb , Alessandro Melchiorri , Antonio Riotto

The Data Release 4 of the Atacama Cosmology Telescope (ACT) shows an agreement with an Harrison-Zel'dovich primordial spectrum ($n_s=1.009 \pm 0.015$), introducing a tension with a significance of $99.3\%$ CL with the results from the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-14 William Giarè , Fabrizio Renzi , Olga Mena , Eleonora Di Valentino , Alessandro Melchiorri

The large enhancement of the primordial power spectrum of the curvature perturbation can seed the formation of primordial black hole, that can play as a dark matter component in the Universe. In multi-filed inflation models, the curved…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-05 Ki-Young Choi , Su-beom Kang , Rathul Nath Raveendran

We perform a Markov Chain Monte Carlo (MCMC) analysis of a simple yet generic multifield inflation model characterized by two scalar fields coupled to each other and nonminimally coupled to gravity, fit to Planck 2018 cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-04 Wenzer Qin , Sarah R. Geller , Shyam Balaji , Evan McDonough , David I. Kaiser

This paper contains a detailed study of the properties of a simple model attempting to explain dark energy as originated from quantum fluctuations of a light spectator scalar field in inflation. In [1] we recently outlined how Starobinsky's…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Enis Belgacem , Tomislav Prokopec

The lack of correlations on the large scale cosmic microwave background (CMB) anisotropy provides a potential window to probe beyond the standard inflationary scenario. In this paper, we investigate the primordial power spectrum based on…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Pisin Chen , Hsiao-Heng Yeh , Dong-han Yeom

Perturbation theory for dark matter clustering has received a lot of attention in recent years, but its convergence properties remain poorly justified and there is no successful model that works both for correlation function and for power…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Uroš Seljak , Zvonimir Vlah

It is commonly recognized that the primordial scalar spectral index $n_s$ is approximately $0.96-0.975$, depending on the dataset. However, this view is being completely altered by the early dark energy (EDE) resolutions of the Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Ze-Yu Peng , Jun-Qian Jiang , Hao Wang , Yun-Song Piao
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