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arXiv 1209.4786hep-thmath-phmath.MP
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连续随机重图上的谱维数流

Spectral dimension flow on continuum random multigraph

Georgios Giasemidis, John F. Wheater, Stefan Zohren

摘要:

我们回顾了最近引入的因果动态三角剖分(CDT),多重图系综的有效图近似。我们认为,它是非常适合于分析计算,它捕获的物理自由度,这是重要的减少CDT的数值模拟中观察到的光谱维数。此外,多重图模型使我们能够研究谱维数和Hausdorff维数之间的关系,从而建立了与其他量子引力方法的联系

英文摘要:

We review a recently introduced effective graph approximation of causal dynamical triangulations (CDT), the multigraph ensemble. We argue that it is well suited for analytical computations and that it captures the physical degrees of freedom which are important for the reduction of the spectral dimension as observed in numerical simulations of CDT. In addition multigraph models allow us to study the relationship between the spectral dimension and the Hausdorff dimension, thus establishing a link to other approaches to quantum gravity

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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