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The double scaling limit of random tensor models

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons25985

Ryan,  James P.
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1404.7517.pdf
(Preprint), 897KB

JHEP20149051.pdf
(beliebiger Volltext), 891KB

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Zitation

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.


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