Rigid random surfaces at large d |
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| Institution: | 1. Research Center for Molecular Mechanisms of Aging and Age-Related Diseases, Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia;2. Shemyakin–Ovchinnikov Institute of Bioorganic Chemistry RAS, 117997 Moscow, Russia;3. HSE University, 101000 Moscow, Russia;4. Frank Laboratory of Neutron Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia;5. Department of Molecular Medicine and Byrd Alzheimer''s Research Institute, Morsani College of Medicine, University of South Florida, Tampa, FL, United States of America;6. Laboratory of Microbiology, Moscow State University of Food Production, Volokolamskoe Highway 11, 125080 Moscow, Russia;7. Institute of Biological Information Processing (IBI-7: Structural Biochemistry), Forschungszentrum Jülich, 52425 Jülich, Germany;8. JuStruct: Jülich Center for Structural Biology, Forschungszentrum Jülich, 52428 Jülich, Germany;9. Institut de Biologie Structurale Jean-Pierre Ebel, Université Grenoble Alpes–Commissariat à l''Energie Atomique et aux Energies Alternatives–CNRS, F-38027 Grenoble, France |
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| Abstract: | A model of two-dimensional random surfaces with extrinsic curvature energy is studied in the limit where the dimension of bulk space d is large. The large-d effective potential is constructed. For large surface tension the ground state is homogeneous and its properties are studied. For small enough surface tension, non-perturbative instabilities which break translation invariance in the plane of the membrane are shown to occur for large but finite wavelength. The relationships between this model, the bosonic string, the Liouville model and lattive random surface models are discussed. |
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