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Melons are Branched Polymers |
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| Authors: | Razvan Gurau James P. Ryan |
| Affiliation: | 1. UMR 7644 école Polytechnique, Centre de Physique Théorique, 91128, Palaiseau Cedex, France 2. Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, ON, N2L 2Y5, Canada 3. Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam, Germany |
| 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. |
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