We present the inflation in the context of warm universe model by contemplating the Dirac-Born-Infeld non-canonical scalar field. We concentrate on warm DBI inflation considering the constant sound of speed. Inflationary theory has ability to provide strong solutions to cosmological puzzles of early universe. We contemplate the Anti-de Sitter warp factor for DBI inflation also, examine viability of the quadratic and quartic potential according to Planck 2018 observational data. We find the slow-roll parameters as well as different inflationary parameters in the presence of well-known potentials. We demonstrate graphical behavior of the $r-N$ , $n_{s}-N$ and $\alpha -N$ for both positive as well as negative potentials. The results of $n_{s}-N$ , $r-N$ and $\alpha -N$ are $0.9525^{+0.0125}_{-0.0125}$ , $-0.00015^{+0.00025}_{-0.00025}$ , $0.03375^{+0.03375}_{-0.03375}$ (for positive quadratic and quartic potential) and $0.98^{+0.03}_{-0.03}$ , $0.05^{+0.05}_{-0.05}$ , $0.0018125^{+0.0018125}_{-0.0018125}$ (for negative quadratic and quartic potential), respectively. Also, we conclude that results of the $r$ , $n_{s}$ and $\alpha $ are consistent with recent Planck data 2018.

中文翻译：

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非典型标量场模型众所周知的势的膨胀动力学

我们通过考虑 Dirac-Born-Infeld 非规范标量场，在暖宇宙模型的背景下呈现暴胀。考虑到恒定的速度声音，我们专注于温暖的 DBI 膨胀。暴胀理论有能力为早期宇宙的宇宙学难题提供强有力的解决方案。我们还考虑了 DBI 膨胀的反德西特扭曲因子，根据普朗克 2018 年观测数据检查二次势和四次势的可行性。我们在存在众所周知的势能的情况下找到了慢滚参数以及不同的膨胀参数。我们展示了 $rN$ 、 $n_{s}-N$ 和 $\alpha -N$ 对于正电位和负电位的图形行为。$n_{s}-N$ , $rN$ 和 $\alpha -N$ 的结果是 $0.9525^{+0.0125}_{-0.0125}$ , $-0.00015^{+0.00025}_{-0.00025}$ , $0.03375^{+0. 03375}_{-0.03375}$（对于正二次和四次势）和 $0.98^{+0.03}_{-0.03}$ , $0.05^{+0.05}_{-0.05}$ , $0.0018125^1{+125}_ {-0.0018125}$（对于负二次势和四次势），分别。此外，我们得出结论，$r$、$n_{s}$ 和 $\alpha $ 的结果与最近的普朗克 2018 年数据一致。