Journal article

Double scaling in tensor models with a quartic interaction

Stephane Dartois, Razvan Gurau, Vincent Rivasseau

JOURNAL OF HIGH ENERGY PHYSICS | SPRINGER | Published : 2013

Abstract

Abstract In this paper we identify and analyze in detail the subleading contributions in the 1/N expansion of random tensors, in the simple case of a quartically interacting model. The leading order for this 1/N expansion is made of graphs, called melons, which are dual to particular triangulations of the D-dimensional sphere, closely related to the “stacked” triangulations. For D < 6 the subleading behavior is governed by a larger family of graphs, hereafter called cherry trees, which are also dual to the D-dimensional sphere. They can be resummed explicitly through a double scaling limit. In sharp contrast with random matrix models, this double scaling limit is stable...

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University of Melbourne Researchers

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Funding Acknowledgements

Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.