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Phase Transition in Tensor Models by Delepouve, Thibault; Gurau, Razvan is a scholarly article available to read on EtoBox.

What is Phase Transition in Tensor Models about?

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.

Author

Delepouve, Thibault; Gurau, Razvan

Published

2015

Language

EN