Triangulated random surfaces |
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| Affiliation: | 1. Institut für Theoretische Physik, Goethe Universität Frankfurt, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany;2. GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstr. 1, 64291 Darmstadt, Germany;3. Helmholtz Research Academy Hesse for FAIR (HFHF), Campus Frankfurt, Max-von-Laue-Str. 12, 60438 Frankfurt, Germany;1. Tianjin Key Laboratory of Optical Thin Film, Tianjin Jinhang Technical Physics Institute, Tianjin, 300308, China;2. Shenzhen Aerospace Industrial Technology Academy, Shenzhen, 518048, China;1. Department of Breast Surgery, Jilin Tumor Hospital, Jilin, 130012, PR China;2. Department of Thoracic Neoplasms, Jilin Tumor Hospital, Jilin, 130012, PR China;3. Department of Oncology, Jilin Tumor Hospital, Jilin, 130012, PR China;1. Graphene Research Institute, Sejong University, Seoul 05006, Republic of Korea;2. Department of Physics, Sejong University, Seoul 05006, Republic of Korea;3. Department of Physics, Pohang University of Science and Technology, Pohang 37673, Republic of Korea;4. Center for Artificial Low Dimensional Electronic Systems, Institute for Basic Science (IBS), Pohang 37673, Republic of Korea |
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| Abstract: | A model of discretized random surfaces that contains the extrinsic curvature as well as the usual area term in the action is considered. The renormalization group predicts that at large distances the model is indistinguishable from previous proposals of triangulated surfaces that contained only the area term, but, unlike them, does not grow spikes. The partition function and all its moments are finite and well defined. The model is solved for large d in the vicinity of the IR fixed point. The Hausdorff dimension is ∞ and the entropy exponent agrees with the one obtained by Zamolodchikov and others for the Polyakov action in the continuum. |
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