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arXiv 0810.2503hep-th
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C=0字符串的因果替代

A Causal Alternative for c=0 Strings

J. Ambjorn, R. Loll, Y. Watabiki, W. Westra, S. Zohren

摘要:

我们回顾了最近发现的描述“因果”二维量子引力的单矩阵模型的一个连续极限。这种极限下的量子几何行为不同于采用单矩阵模型的“标准”连续极限定义的欧几里德二维量子引力的量子几何。在这个新的极限下,与欧氏二维量子引力的情形相反,测地距离和时间尺度具有正则维数。值得注意的是,每当我们比较,(广义)因果动态三角剖分的已知结果是完全复制的一个矩阵模型。我们补充以前的结果,给出了一个新的模型的几何解释方面的推广的循环方程的欧几里得动态三角剖分。此外,我们还讨论了量子几何的时间演化。

英文摘要:

We review a recently discovered continuum limit for the one-matrix model which describes "causal" two-dimensional quantum gravity. The behaviour of the quantum geometry in this limit is different from the quantum geometry of Euclidean two-dimensional quantum gravity defined by taking the "standard" continuum limit of the one-matrix model. Geodesic distance and time scale with canonical dimensions in this new limit, contrary to the situation in Euclidean two-dimensional quantum gravity. Remarkably, whenever we compare, the known results of (generalized) causal dynamical triangulations are reproduced exactly by the one-matrix model. We complement previous results by giving a geometrical interpretation of the new model in terms of a generalization of the loop equation of Euclidean dynamical triangulations. In addition, we discuss the time evolution of the quantum geometry.

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