A Matrix Model for Random Surfaces with Dynamical Holes

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dc.creatorCicuta, G. M.
dc.creatorMolinari, L.
dc.creatorMontaldi, E.
dc.creatorStramaglia, S.
dc.date1994-12-09
dc.date.accessioned2026-07-07T10:58:34Z
dc.date.available2026-07-07T10:58:34Z
dc.descriptionA matrix model to describe dynamical loops on random planar graphs is analyzed. It has similarities with a model studied by Kazakov, few years ago, and the O(n) model by Kostov and collaborators. The main difference is that all loops are coherently oriented and empty. The free energy is analytically evaluated and the two critical phases are analyzed, where the free energy exhibits the same critical behaviour of Kazakov's model, thus confirming the universality of the description in the continuum limit (surface with small holes, and the tearing phase). A third phase occurs on the boundary separating the above phase regions, and is characterized by a different singular behaviour, presumably due to the orientation of loops.
dc.description20 pages in Plain Tex, 4 figures not enclosed
dc.identifierhttps://arxiv.org/abs/hep-th/9412080
dc.identifierhttp://arxiv.org/abs/hep-th/9412080
dc.identifierJ.Phys.A29:3769-3785,1996
dc.identifierdoi:10.1088/0305-4470/29/14/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187147
dc.subjectHigh Energy Physics - Theory
dc.titleA Matrix Model for Random Surfaces with Dynamical Holes
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