Melons are branched polymers
Mathematical Physics
2015-06-15 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.1302.4386,
title = {Melons are branched polymers},
author = {Razvan Gurau and James P. Ryan},
journal= {arXiv preprint arXiv:1302.4386},
year = {2015}
}