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  The double scaling limit of random tensor models

Bonzom, V., Gurau, R., Ryan, J. P., & Tanasa, A. (2014). The double scaling limit of random tensor models. Journal of High Energy Physics, 2014(9): 051. doi:10.1007/JHEP09(2014)05.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-768B-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-768C-B
Genre: Journal Article

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 Creators:
Bonzom, Valentin, Author
Gurau, Razvan, Author
Ryan, James P.1, Author              
Tanasa, Adrian, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Combinatorics, math.CO,Mathematics, Mathematical Physics, math.MP
 Abstract: Tensor models generalize matrix models and generate colored triangulations of pseudo-manifolds in dimensions $D\geq 3$. The free energies of some models have been recently shown to admit a double scaling limit, i.e. large tensor size $N$ while tuning to criticality, which turns out to be summable in dimension less than six. This double scaling limit is here extended to arbitrary models. This is done by means of the Schwinger--Dyson equations, which generalize the loop equations of random matrix models, coupled to a double scale analysis of the cumulants.

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 Dates: 2014-04-292014-07-312014
 Publication Status: Published in print
 Pages: 37 pages, 13 figures; several references were added. A new subsection was added to first present all the results (before the technical proofs which will follow). A misprint was corrected
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 Identifiers: arXiv: 1404.7517
DOI: 10.1007/JHEP09(2014)05
URI: http://arxiv.org/abs/1404.7517
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2014 (9) Sequence Number: 051 Start / End Page: - Identifier: -