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Journal Article

Melons are branched polymers

MPS-Authors
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Ryan,  James P.
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1302.4386
(Preprint), 773KB

AHP_Gurau.pdf
(Any fulltext), 799KB

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Citation

Gurau, R., & Ryan, J. P. (2013). Melons are branched polymers. Annales Henri Poincare, 013-0291-3. doi:10.1007/s00023-013-0291-3.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-EB20-0
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.