- #2,171
- 24,775
- 792
http://arxiv.org/abs/1404.7517
The double scaling limit of random tensor models
Valentin Bonzom, Razvan Gurau, James P. Ryan, Adrian Tanasa
(Submitted on 29 Apr 2014)
Tensor models generalize matrix models and generate colored triangulations of pseudo-manifolds in dimensions D≥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.
36 pages
The double scaling limit of random tensor models
Valentin Bonzom, Razvan Gurau, James P. Ryan, Adrian Tanasa
(Submitted on 29 Apr 2014)
Tensor models generalize matrix models and generate colored triangulations of pseudo-manifolds in dimensions D≥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.
36 pages