arXiv 1408.65472014-08hep-th

Coleman-De Luccia反弹的负模

Negative modes of Coleman-De Luccia bounces

Hakjoon Lee, Erick J. Weinberg

备注：: 41 pages, 9 figures; added reference and minor text changes
发表信息：: Phys. Rev. D 90, 124002 (2014)
DOI：: 10.1103/PhysRevD.90.124002

摘要：

我们调查的负模式Coleman-De Luccia反弹管理真空跃迁de Sitter空间，获得物理洞察的目标与这些文献中报道的各种异常结果。对于半径远小于视界距离$H^{-1}$的反弹的情况下，我们发现两个不同的制度，区分的气泡成核率$Γ$的大小。如果是$Γ/H^4 \gg 1$，则在$Γ$中对决定因子有贡献的模的行为与在平坦时空中的行为一样，并且当引力耦合取为零时，对$Γ$的计算平滑地过渡到平坦时空的计算。如果是$Γ/H^4 \ll 1$，则不是这种情况。这两种状态对应于德西特真空衰变的两种可能结果--要么迅速完成跃迁，要么非渗透和永恒的暴胀。对于反弹的半径可比的地平线长度，我们证实了以前的结果与支持反弹墙的反常负模式。我们还发现了进一步的证据支持以前的索赔，基于薄壁参数，没有预期的负模式时产生的初始和最终真空几乎退化的反弹类。

英文摘要：

We investigate the negative modes about Coleman-De Luccia bounces governing vacuum transitions in de Sitter space, with the goal of gaining physical insight into the various anomalous results associated with these that have been reported in the literature. For the case of bounces with radii much less that the horizon distance $H^{-1}$ we find two distinct regimes, distinguished by the magnitude of the bubble nucleation rate $Γ$. If $Γ/H^4 \gg 1$, then the behavior of the modes contributing to the determinant factors in $Γ$ is much as in flat spacetime, and the calculation of $Γ$ goes over smoothly to the flat spacetime calculation as the gravitational coupling is taken to zero. This is not the case if $Γ/H^4 \ll 1$. These two regimes correspond to the two possible outcomes of de Sitter vacuum decay --- either a rapidly completed transition or non-percolation and eternal inflation. For bounces with radii comparable to the horizon length, we confirm previous results concerning anomalous negative modes with support on the bounce wall. We also find further evidence supporting previous claims, based on thin-wall arguments, of the absence of expected negative modes for a class of bounces that arises when the initial and final vacua are nearly degenerate.

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