The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials

Universe

Zhu Yi¹  Qin Fei²  Yingjie Yang³ 

[1] Department of Astronomy, Beijing Normal University, Beijing 100087, China;School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China;School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China;

关键词: reconstruction;    non-minimal derivative coupling inflation;    reheating;   

DOI  :  10.3390/universe6110213

来源: DOAJ

【 摘 要 】

We derive the reconstruction formulae for the inflation model with the non-minimal derivative coupling term. If reconstructing the potential from the tensor-to-scalar ratio r, we could obtain the potential without using the high friction limit. As an example, we reconstruct the potential from the parameterization $r=8\alpha /{(N+\beta )}^{\gamma }$, which is a general form of the $\alpha$-attractor. The reconstructed potential has the same asymptotic behavior as the T- and E-model if we choose $\gamma =2$ and $\alpha \ll 1$. We also discuss the constraints from the reheating phase by assuming the parameter $w_{re}$ of state equation during reheating is a constant. The scale of big-bang nucleosynthesis could put an upper limit on $n_s$ if $w_{re}=2/3$ and a low limit on $n_s$ if $w_{re}=1/6$.

【 授权许可】

Unknown