Super-Acceleration from Massless, Minimally Coupled $\phi^4$

Super-Acceleration from Massless, Minimally Coupled $\phi^4$
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DOI:
10.1088/0264-9381/19/17/311
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发表时间:
2002-04
影响因子:
3.5
通讯作者:
V. Onemli;R. Woodard
V. Onemli;R. Woodard
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
V. Onemli;R. Woodard

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我们推导出一个简单的形式传播的无质量,最小耦合标量在局部德西特几何的任意时空维度。然后,我们用它来计算完全重整化应力张量在一个和两个循环的顺序为无质量,最小耦合4理论,这是在束释放?t = 0时的戴维斯真空。在这个系统中,不确定性原理将标量提升到其势能的最小值以上,导致超加速阶段。通过非衍生的自相互作用,标量对德西特不变性的破坏变得可观察到。同样值得注意的是,弱能量条件在宇宙学尺度上是不成立的。一个有趣的辅助结果是,取消重叠的分歧,应力张量需要一个共形的反项,没有影响纯标量图。
We derive a simple form for the propagator of a massless, minimally coupled scalar in a locally de Sitter geometry of arbitrary spacetime dimension. We then employ it to compute the fully renormalized stress tensor at one- and two-loop orders for a massless, minimally coupled 4 theory which is released in Bunch?Davies vacuum at t = 0 in co-moving coordinates. In this system, the uncertainty principle elevates the scalar above the minimum of its potential, resulting in a phase of super-acceleration. With the non-derivative self-interaction the scalar's breaking of de Sitter invariance becomes observable. It is also worth noting that the weak-energy condition is violated on cosmological scales. An interesting subsidiary result is that cancelling overlapping divergences in the stress tensor requires a conformal counterterm which has no effect on purely scalar diagrams.