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On gonihedric loops and quantum gravity

D. Espriu·A. Prats
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Abstract

We present an analysis of the gonihedric loop model, a reformulation of the two dimensional gonihedric spin model, using two different techniques. First, the usual regular lattice statistical physics problem is mapped onto a height model and studied analytically. Second, the gravitational version of this loop model is studied via matrix models techniques. Both methods lead to the conclusion that the model has $c_{matter}=0$ for all values of the parameters of the model. In this way it is possible to understand the absence of a continuous transition.

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D. Espriu, A. Prats. 2005-11-04. On gonihedric loops and quantum gravity. https://doi.org/10.1088/0305-4470%2F39%2F7%2F017

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