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arXiv · 1504.05745

Phase Transition in Tensor Models

Thibault Delepouve·Razvan Gurau
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Abstract

Generalizing matrix models, tensor models generate dynamical triangulations in any dimension and support a $1/N$ expansion. Using the intermediate field representation we explicitly rewrite a quartic tensor model as a field theory for a fluctuation field around a vacuum state corresponding to the resummation of the entire leading order in $1/N$ (a resummation of the melonic family). We then prove that the critical regime in which the continuum limit in the sense of dynamical triangulations is reached is precisely a phase transition in the field theory sense for the fluctuation field.

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Thibault Delepouve, Razvan Gurau. 2015-04-22. Phase Transition in Tensor Models. https://doi.org/10.1007/jhep06(2015)178

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