Melons are branched polymers

Gurau, Razvan; Ryan, James P.

doi:10.1007/s00023-013-0291-3

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学術論文

Melons are branched polymers

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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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引用

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

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

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.