量子引力的真空态含有大的虚质量
The vacuum state of quantum gravity contains large virtual masses
摘要：
在量子引力的泛函积分方法中，通常通过在作用量鞍点附近的定态相近似，将量子位形处理为hbar阶，此时时空是平坦的。我们表明，从这一点出发的功能空间中的“水平线”，其中包括一个家庭的静态非平坦度量与零标量曲率，取决于一个连续的质量参数。此外，这些度量中的每一个都可以被任意函数扰动，使得仍然满足条件Int（gR）d4x=0。这样我们就找到了一组引力作用量的零模，它们在泛函空间中具有非零测度。这些度规将作为真空涨落对泛函积分作出贡献，与鞍点附近的度规具有相同的基础。
英文摘要：
In the functional integral approach to quantum gravity, the quantum configurations are usually treated to order hbar through a stationary phase approximation around the saddle point of the action where spacetime is flat. We show that from this point a "level line" in functional space departs, which comprises a family of static non-flat metrics with zero scalar curvature, depending on a continuous mass parameter. Furthermore, each of these metrics can be perturbed by an arbitrary function in such a way to still satisfy the condition Int(gR)d4x=0. We thus find a set of zero-modes of the gravitational action which has non-vanishing measure in the functional space. These metrics will contribute to the functional integral as vacuum fluctuations, on the same footing as those near the saddle point.
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