http://arxiv.org/abs/1408.1285
The possibility to construct inflationary models for the renormalization-group improved potentials corresponding to scalar electrodynamics and the $SU(2)$ and $SU(5)$ models is investigated. In all cases the tree-level potential, which corresponds to the cosmological constant in the Einstein frame, is seen to be not suitable for inflation. Instead of adding the Hilbert-Einstein term to the action, quantum corrections to the potential, coming from to the RG-equation, are included. The inflationary scenario is analyzed with unstable de Sitter solutions, only. For some reasonable values of the parameters, inflation is realized both for scalar electrodynamics and for the $SU(5)$ model, and the corresponding values of the coupling function are positive. For the finite $SU(2)$ model, de Sitter solutions are seen to exist if it corresponds to a minimally coupled scalar field with cosmological constant, this model being not suitable for inflation. In the $SU(2)$ gauge model a stable de Sitter solution exists, again not suitable for inflation, unless the exit from it occurs according to non-standard scenarios, which are not considered here. In the model with the $SU(5)$ RG-improved potential, the inflationary model obtained is seen to be in good agreement with the most recent observational data by Planck2013 and BICEP2.
E. Elizalde, S. Odintsov, E. Pozdeeva, et. al.
Thu, 7 Aug 14
21/46
Comments: 21 pages, 3 figures
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