Ringing non-Gaussianity from inflation with a step in the second derivative of the potential

被引:0
作者
R Rakhi
Minu Joy
机构
[1] NSS College,Department of Physics
[2] Alphonsa College,Department of Physics
来源
Pramana | 2022年 / 96卷
关键词
Inflation; 3-point function; non-Gaussianity; 98.80.Cq;
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摘要
Inflationary model driven by a scalar field whose potential has a step in the second derivative with respect to the field is considered. For the best-fit potential parameter values, the 3-point function and the non-Gaussianity associated with the featured model is calculated. We study the shape and scale dependence of the 3-point function. The distinctive feature of this model is its characteristic ringing behaviour of fNL\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_{\mathrm {NL}}$$\end{document}. We can see that the oscillations in fNL\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_{\mathrm {NL}}$$\end{document} in this model last for a much longer range of k values, than the previously studied models. In that sense, this model is potentially distinguishable from models with other features in the potential.
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