三次位势拐点本质的观测约束
Observational constraints on inflection point quintessence with a cubic potential
摘要：
我们研究了最简单的拐点模型，其势由$V(ϕ) = V_0 + V_3 ϕ^3$给出。该模型可以产生渐近de Sitter膨胀或瞬态加速，我们表明，它不对应于纯冻结或解冻行为。我们推导出观测约束的初始值的标量场，$ϕ_i$，和$V_3/V_0$，并发现，小值的$ϕ_i$或$V_3/V_0$的青睐。虽然大多数的观测允许的参数空间产生渐近德西特演化，有一个小的区域，对应于大$V_3/V_0$和小$ϕ_i$，目前的加速膨胀是短暂的。后一种行为可能与循环宇宙相一致。
英文摘要：
We examine the simplest inflection point quintessence model, with a potential given by $V(ϕ) = V_0 + V_3 ϕ^3$. This model can produce either asymptotic de Sitter expansion or transient acceleration, and we show that it does not correspond to either pure freezing or thawing behavior. We derive observational constraints on the initial value of the scalar field, $ϕ_i$, and $V_3/V_0$ and find that small values of either $ϕ_i$ or $V_3/V_0$ are favored. While most of the observationally-allowed parameter space yields asymptotic de Sitter evolution, there is a small region, corresponding to large $V_3/V_0$ and small $ϕ_i$, for which the current accelerated expansion is transient. The latter behavior is potentially consistent with a cyclic universe.
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