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Journal Article

#### The double scaling limit of random tensor models

##### Fulltext (public)

1404.7517.pdf

(Preprint), 897KB

JHEP20149051.pdf

(Any fulltext), 891KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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.