圈量子宇宙学中快子场持续时间膨胀的唯象分析
Phenomenology analysis of duration inflation for Tachyon field in loop quantum cosmology
摘要：
假定e折叠数仅由标度因子的变化决定，讨论了LQC中的快子暴胀理论。考虑具有指数势和反二次势的快子场，我们发现超暴胀的演化图像受势和初始条件的影响。然而，无论选择哪种条件，它都不能提供足够的e折叠数。因此，缓慢的通货膨胀是必要的。慢卷暴胀的e折叠数依赖于指数势的参数$α$和初始条件的值。为了获得足够的e折叠数，$α$应该很小。基于超暴涨结束后紧接着发生的是缓慢滚动的暴涨，并且在整个暴涨阶段尺度因子不断增大，我们考虑了由整个暴涨阶段提供的一个e折叠数，发现在整个暴涨阶段尺度因子增大时更容易得到足够的e折叠数.
英文摘要：
Assuming that the e-folding number is just determined by the change of the scale factor, the tachyonic inflation theory in LQC has been discussed. Considering the tachyon field with exponential potential and inverse quadratic potential, we find that the evolutionary pictures of super inflation are affected by the potentials and the initial conditions. However it cannot provide enough e-folding number, no matter which condition is chosen. Therefore a slow-rolling inflation is necessary. The e-folding number for slow-rolling inflation depends on the values of the parameter $α$ of the exponential potential and the initial conditions. To get enough e-folding number, $α$ should be small. Based on the slow-rolling inflation happens immediately when the super inflation ends, and the scale factor is continuously growing during the whole inflation stage, we consider an e-folding number provided by the whole inflationary stage, and we find that it is easier to get enough e-folding number when the scale factor increases during all the inflation phase.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
