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  Melons are branched polymers

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

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000E-EB20-0 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0017-C10A-1
Genre: Journal Article

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 Creators:
Gurau, Razvan, Author
Ryan, James P.1, Author           
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: Mathematical Physics, math-ph,General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, 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.

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 Dates: 2013-02-182013
 Publication Status: Published online
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 Identifiers: arXiv: 1302.4386
DOI: 10.1007/s00023-013-0291-3
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Title: Annales Henri Poincare
Source Genre: Journal
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Publ. Info: Basel : Birkhäuser
Pages: - Volume / Issue: - Sequence Number: 013-0291-3 Start / End Page: - Identifier: ISSN: 1424-0637
CoNE: https://pure.mpg.de/cone/journals/resource/954925494977_2