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Phase Transition in Lattice Surface Systems with Gonihedric Action

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arxiv hep-lat/9604013 v1 pith:V7MUGIAP submitted 1996-04-17 hep-lat hep-th

Rainer Pietig , Franz J. Wegner This is my paper · ORCID
classification hep-lathep-th
keywords latticesurfacesactioncontourgonihedricmodelphaserandom
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We prove the existence of an ordered low temperature phase in a model of soft-self-avoiding closed random surfaces on a cubic lattice by a suitable extension of Peierls contour method. The statistical weight of each surface configuration depends only on the mean extrinsic curvature and on an interaction term arising when two surfaces touch each other along some contour. The model was introduced by F.J. Wegner and G.K. Savvidy as a lattice version of the gonihedric string, which is an action for triangulated random surfaces.

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Cited by 1 Pith paper

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  1. Condensation of Magnetic Fluxes and Landscape of QCD Vacuum

    hep-th 2024-11 reject novelty 3.0 of 10

    The author exhibits sourceless Yang-Mills configurations with constant energy density and singular gauge potentials, and claims they are degenerate vacua separated by potential barriers.

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