Analysis of Vector-Inflation Models Using Dynamical Systems
arXiv:1504.02433 · doi:10.1016/j.nuclphysbps.2015.10.115
Abstract
We analyze two possible vector-field models using the techniques of dynamical systems. The first model involves a U(1)-vector field and the second a triad of SU(2)-vector fields. Both models include a gauge-fixing term and a power-law potential. A dynamical system is formulated and it is found that one of the critical points, for each model, corresponds to inflation, the origin of these critical points being the respective gauge-fixing terms. The conditions for the existence of an inflationary era which lasts for at least 60 efolds are studied.
LaTeX file in elsarticle style, 4 pages, 1 figure. To be published in Nuclear Physics B Proceedings Supplement as the proceedings of the Tenth Latin American Symposium on High Energy Physics (Medellin - Colombia, 24th-28th November, 2014)