Some aspects of non-abelian gauge field inflation model

Abstract

In this paper we study non-abelian gauge field inflation (gauge-flation) model in the context of intermediate and logamediate scenario. Important parameters of this model are presented for these two cases. Numerical study shows that the intermediate and logamediate gauge-flation are compatible with WMAP9 observational data. For intermediate inflation, where the cosmological scale factor expands as: $a(t)=a_0\exp(At^f)$ ($A>0, 0<f<1$), $N\geq 100$ cases lead to $0.02<r<0.11$ ($r$ is tensor-scalar ratio) and $N\simeq50 $ case leads to $n_s\simeq 0.96$ ($n_s$ is spectral index). These constraints of perturbation parameters are agree with Planck and WMAP9 data. For logamediate model, where the scale factor expands as: $a(t)=a_0 \exp(a[\ln t]^{\lambda})$ ($\lambda >1, A>0$), $N\geq 200$ and $\lambda=2$ cases lead to interesting agreement with observational data.