1302.4386 (Razvan Gurau et al.)

Melons are branched polymers    [PDF]

Razvan Gurau, James P. Ryan

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.

View original: http://arxiv.org/abs/1302.4386