标题： 观测上可行的中间DBI暴胀在最小长度存在下的情况 显示英文标题

标题： Observational Viability of the Intermediate DBI Inflation in the Presence of a Minimal Length

摘要： 我们考虑在理论中存在一个最小可测量长度的情况下，一个中间Dirac-Born-Infeld (DBI)暴胀模型。 我们表明，最小可测量长度的存在修改了标量和张量谱指数以及其它暴胀观测量的定义。 这是由于在存在最小长度的情况下，扰动的动量和相应的波数发生了改变。 通过使用变形后的标量和张量谱指数的定义，我们对中间DBI暴胀模型进行了数值分析，以找到变形参数的一些约束。 在这方面，我们将数值结果与Planck2018 TT, TE, EE +lowE +lensing +BAO+ BK14以及Planck2018 TT, TE, EE +lowE +lensing +BK14 +BAO +LIGO$\&$Virgo2016数据在$68\%$CL和$95\%$CL下进行比较。 我们的数值研究显示，如果考虑变形参数的上限约为$10^{48}$在$68\%$CL和$10^{49}$在$95\%$CL的量级，则在存在最小可测量长度的中间DBI暴胀模型在观测上是可行的。 这与其他方法对这种量进行约束的结果是一致的。 显示英文摘要

摘要： We consider an intermediate Dirac-Born-Infeld (DBI) inflationary model in the presence of a minimal measurable length in the theory. We show that, the presence of a minimal measurable length modifies the definitions of the scalar and tensor spectral indices and also other inflation observables. This is due to modification of the momentum and corresponding wave number of the perturbations in the presence of a minimal length. By using the deformed definition of the scalar and tensor spectral indices, we perform numerical analysis on the intermediate DBI inflation model to find some constraints on the deformation parameter. In this regard, we compare our numerical results with both Planck2018 TT, TE, EE +lowE +lensing +BAO+ BK14 and Planck2018 TT, TE,EE +lowE+lensing+BK14 +BAO+LIGO $\&$ Virgo2016 data at the $68\%$ CL and $95\%$ CL. Our numerical study shows that the intermediate DBI inflation model in the presence of a minimal measurable length is observationally viable if the upper bound on the deformation parameter to be considered of the order of $10^{48}$ at $68\%$ CL and $10^{49}$ at $95\%$ CL. This is consistent with the results of other approaches to constrain such a quantity.