A matrix model to describe dynamical loops on random planar graphs is analysed. It has similarities with a model studied by Kazakov, a few years ago, and the O(n) model of Rostov and collaborators. The main difference is that all loops are coherently oriented and empty. The free energy is analytically evaluated and the continuum limit is analysed in a region of parameters where the universality of the continuum description may not be expected. Our phase diagram is analogous to Kazakov's model with two phases (surface with small holes and tearing phase) with Kazakov's scaling exponents. The critical exponents of the third phase, which occurs on the boundary between the two above phases, differ from the corresponding exponents in Kazakov's model [1]. © 1996 IOP Publishing Ltd.

A matrix model for random surfaces with dynamical holes / G.M. Cicuta, L.G. Molinari, E. Montaldi, S. Stramaglia. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 29:14(1996), pp. 3769-3785. [10.1088/0305-4470/29/14/006]

A matrix model for random surfaces with dynamical holes

L.G. Molinari
Secondo
;
1996

Abstract

A matrix model to describe dynamical loops on random planar graphs is analysed. It has similarities with a model studied by Kazakov, a few years ago, and the O(n) model of Rostov and collaborators. The main difference is that all loops are coherently oriented and empty. The free energy is analytically evaluated and the continuum limit is analysed in a region of parameters where the universality of the continuum description may not be expected. Our phase diagram is analogous to Kazakov's model with two phases (surface with small holes and tearing phase) with Kazakov's scaling exponents. The critical exponents of the third phase, which occurs on the boundary between the two above phases, differ from the corresponding exponents in Kazakov's model [1]. © 1996 IOP Publishing Ltd.
Matrix models; planar graphs; loop counting; random surfaces
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Settore PHYS-02/A - Fisica teorica delle interazioni fondamentali, modelli, metodi matematici e applicazioni
1996
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1096789
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