论文标题

从循环量子宇宙学中的通货膨胀持续时间从通货膨胀持续时间限制巴贝罗 - 米米尔兹参数

Constraining the Barbero-Immirzi parameter from the duration of inflation in loop quantum cosmology

论文作者

Barboza, L. N., Levy, G. L. L. W., Graef, L. L., Ramos, Rudnei O.

论文摘要

我们在循环量子宇宙学中反弹后重新审查通货膨胀阶段持续时间的预测。我们对包括单次幂律混沌类型的电位,Starobinsky和Higgs样对称性破坏电位的不同类型的通货膨胀潜力进行了分析,具有真空期望值。与我们所考虑的相比,我们的设置很容易扩展到其他形式的原始潜力。独立于收缩阶段的细节,如果动力学在远处开始足够启动,动力学将在弹跳时占主导地位,从而唯一地确定了此刻的通气幅度。这将是进一步演变的初始条件,它将为我们提供从反弹到加速通货膨胀状态开始的电子折数数的结果,以及随后的通货膨胀持续时间。我们还讨论了在哪些情况下,每个考虑的模型可能会导致在宇宙微波背景的频谱上可观察到的特征,或者因未预测足够数量的加速扩张而被排除在外。考虑了从黑洞熵计算获得的巴贝罗 - 米尔米尔兹参数的标准值,进行了首次分析。在第二次分析中,我们考虑了改变该参数的值的可能性,这是由于在环路量子引力的背景下,Barbero-Immirzi参数可以视为基础量子理论的自由参数。从此分析中,我们通过要求最小的通货膨胀量扩展来获得该参数的下限,这使该模型与CMB观测一致。 [简略]

We revisit the predictions for the duration of the inflationary phase after the bounce in loop quantum cosmology. We present our analysis for different classes of inflationary potentials that include the monomial power-law chaotic type of potentials, the Starobinsky and the Higgs-like symmetry breaking potential with different values for the vacuum expectation value. Our setup can easily be extended to other forms of primordial potentials than the ones we have considered. Independently on the details of the contracting phase, if the dynamics starts sufficiently in the far past, the kinetic energy will come to dominate at the bounce, uniquely determining the amplitude of the inflaton at this moment. This will be the initial condition for the further evolution that will provide us with results for the number of e-folds from the bounce to the beginning of the accelerated inflationary regime and the subsequent duration of inflation. We also discuss under which conditions each model considered could lead to observable signatures on the spectrum of the cosmic microwave background or else be excluded for not predicting a sufficient amount of accelerated expansion. A first analysis is performed considering the standard value for the Barbero-Immirzi parameter obtained from black hole entropy calculations. In a second analysis, we consider the possibility of varying the value of this parameter, which is motivated by the fact that the Barbero-Immirzi parameter can be considered a free parameter of the underlying quantum theory in the context of loop quantum gravity. From this analysis, we obtain a lower limit for this parameter by requiring the minimum amount of inflationary expansion that makes the model consistent with the CMB observations. [abridged]

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