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The double scaling limit of random tensor models

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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1404.7517.pdf
(Preprint), 897KB

JHEP20149051.pdf
(Any fulltext), 891KB

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Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0024-768B-D
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.