Numerical Quantization of Gravitational field and Super String

与其他三个基本场一样，量子化引力一直是理论物理最重要的目标之一。由于众所周知，爱因斯坦的引力理论不可能以标准的方式量子化，所以人们提出了许多替代方案。其中，超弦理论吸引了许多研究者，因为它在物理和数学上都具有非凡的性质。然而，目前还不清楚该理论是否能恰当地描述四维世界。与此同时，我们一直试图通过将时空离散到格子中并使用数值方法来非微扰地量子化爱因斯坦引力。我们已经成功地模拟了具有连续统理论存在所需性质的起伏空间。合成时空的性质与四维共形引力具有共同的性质。这一成功为宇宙学开辟了新的应用领域，例如微波背景辐射、暗物质和暗能量。

To quantize the gravity like the other three fundamental fields has been one of the most important goals of theoretical physics. Since Einstein's theory of gravity is known to be impossible to quantize in the standard manner, there have been many alternatives proposed. Among those the super string theory attracts many researchers because it's extraordinary nature in both physical and mathematical points of view. However, it is not clear yet whether the theory can describe the four dimensional world properly.In the meanwhile we have been trying to quantize the Einstein gravity non-perturbatively, by discretizing the space-time into lattice and employing the numerical method. We have been successful to simulate the fluctuating space with required properties for the existence of a continuum theory. The nature of resultant space-time has the common properties to the 4 dimensional conformal gravity. This success opens new applications in the cosmology, for examples the microwave background radiation, the dark matter and the dark energy.