Analysis of Vector-Inflation Models Using Dynamical Systems

José F. Rodríguez, Yeinzon Rodríguez
2015 Nuclear and Particle Physics Proceedings  
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.
doi:10.1016/j.nuclphysbps.2015.10.115 fatcat:dapumhfzcnhtzdnucr4gyyeftm