The Energy of the Universe, the Scaling-Dependent Coupling Constant $\beta$ and the Pion Mass

From the hypothesis of a quadratic dependence of the binding energy of the quarks on the length scale and from the idea of a universal running coupling constant, we get the closure mass of the Universe and the pion mass. Besides this, we propose a free energy for the pions which stationarity conditi...

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Bibliographic Details
Main Authors Caldas, H. C. G, Silva, P. R
Format Journal Article
LanguageEnglish
Published 27.09.2000
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Summary:From the hypothesis of a quadratic dependence of the binding energy of the quarks on the length scale and from the idea of a universal running coupling constant, we get the closure mass of the Universe and the pion mass. Besides this, we propose a free energy for the pions which stationarity condition leads to a closed form for the pion mass as a function of the Planck mass and of the Hubble constant.
DOI:10.48550/arxiv.physics/0009080