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キーワード:
Mathematical Physics, math-ph,General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP
要旨:
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.