瓜是分枝聚合物
Melons are branched polymers
摘要:
Melonic图构成了张量模型的1/N展开中出现在首阶的图族。它们被证明导致连续相,让人想起支化聚合物。我们在这里表明,它们实际上是精确支化的聚合物,也就是说,它们具有Hausdorff维数2和光谱维数4/3。
英文摘要:
Melonic graphs constitute the family of graphs arising at leading order in the 1/N expansion of tensor models. They were shown to lead to a continuum phase, reminiscent of branched polymers. We show here that they are in fact precisely branched polymers, that is, they possess Hausdorff dimension 2 and spectral dimension 4/3.
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