论文标题

新颖的4D爱因斯坦 - 加斯 - 鲍尼特重力中的真空吸尘器:病理和不稳定性?

Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?

论文作者

Shu, Fu-Wen

论文摘要

我们通过考虑真空吸尘器的量子隧道过程,显示出新型4D Einstein-Gauss-Bonnet重力的不一致性。使用标准的半古典技术,我们分析参数空间中所有允许的情况的真空衰减率。事实证明,该理论要么遇到真空衰减率的灾难性差异,要么表现出令人困惑的真空衰减速率的复杂值,或者涉及无限的不稳定(大型真空混合)。这些表明该理论至少是该理论的真空,或者是不稳定的,或者没有明确定义的极限为$ d \ rightarrow 4 $。

We show an inconsistence of the novel 4D Einstein-Gauss-Bonnet gravity by considering a quantum tunneling process of vacua. Using standard semi-classical techniques, we analytically study the vacuum decay rate for all allowed cases in the parameter space. It turns out, without exception, that the theory either encounters a disastrous divergence of vacuum decay rate, or exhibits a confusing complex value of vacuum decay rate, or involves an infinitely instability (a large vacuum mixing). These suggest a strong possibility that the theory, at least the vacuum of the theory, is either unphysical or unstable, or has no well-defined limit as $D\rightarrow 4$.

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