2019/12/17 by G. Karakaya, Karakaya, G., V. K. Onemli +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geomagnetism and Paleomagnetism Studies #High Energy Physics - Theory (hep-th) #Solar and Space Plasma Dynamics #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1912.07963
50 pages, 4 figures
arxiv created 2019/12/17 · openalex publication_date 2019/12/17 · arxiv updated 2019/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a method to analytically compute the quantum corrected two-point correlation function of a scalar field in leading order at each loop in a homogeneous, isotropic and spatially flat spacetime where the expansion rate is time dependent and express the quantum corrected power spectrum Δ2(k) as a time derivative of the coincident correlation function evaluated at time tk of the first horizon crossing of a mode with comoving wave number k. To facilitate the method, we consider the simplest version of inflation driven by a massive, minimally coupled inflaton endowing a quartic self-interaction---with positive or negative self-coupling. We compute the quantum corrected two-point correlation function, power spectrum, spectral index n(k) and the running of the spectral index α(k) for the inflaton fluctuations at one-loop order. Numerical estimates of the n(k) and α(k) and the cosmological measurements are in agreement, within reasonable ranges of values for the physical parameters in the model.