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Percolation on strings and the cover-up of the \(c=1\) disaster. (English) Zbl 1009.81534


MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T27 Continuum limits in quantum field theory
82D60 Statistical mechanics of polymers

References:

[1] Distler, J.; Hlousek, Z.; Kawai, H., Intern. J. Mod. Phys., A5, 1093 (1990)
[2] David, F., Nucl. Phys., B368, 671 (1992)
[3] Agishtein, M. E.; BenAv, R.; Migdal, A.; Solomon, S., Mod. Phys. Lett., A6, 1115 (1991)
[4] Kawai, H.; Kawamoto, N.; Mogami, T.; Watabiki, Y., Phys. Lett., B306, 19 (1993)
[5] Jain, S.; Mathur, S., Phys. Lett., B286, 239 (1992)
[6] Ambjørn, J.; Jain, S.; Thorleifsson, G., Phys. Lett., B307, 34 (1993)
[7] Seiberg, N., Prog. Theor. Phys. Suppl., 102, 319 (1990)
[8] Moore, G.; Ginsparg, P., Lectures on 2-D gravity and 2-D string theory, TASI Lectures (1993), Yale preprint YCTP-P23-92 and Los Alamos preprint LA-UR-92-3479
[9] Gates, M. E., Europhys. Lett., 7, 719 (1988)
[10] Hikami, S., Phys. Lett., B305, 327 (1993)
[11] Wexler, M., Phys. Lett., B315, 67 (1993)
[12] Ambjørn, J.; Durhuus, B.; Jónsson, T.; Thorleifsson, G., Nucl. Phys., B398, 568 (1993)
[13] Catterall, S. M.; Kogut, J. B.; Renken, R. L., Phys. Lett., B292, 277 (1992)
[14] Baillie, C.; Johnston, D., Phys. Lett., B286, 44 (1992)
[18] Knizhnik, V. G.; Polyakov, A. M.; Zamolodchikov, A. B., Mod. Phys. Lett., A3, 819 (1988)
[19] Essam, J. W.; Fisher, M. E., J. Math. Phys., 2, 609 (1961) · Zbl 0105.43601
[20] Kazakov, V. A., Mod. Phys. Lett., A4, 1691 (1989)
[21] des Nijs, M., Phys. Rev., B27, 1674 (1983)
[22] Distler, J.; Kawai, H., Nucl. Phys., B321, 509 (1989)
[23] Gross, D. J.; Klebanov, I. R., Nucl. Phys., B344, 475 (1990)
[24] Stauffer, D.; Aharony, A., Introduction to percolation theory (1992), Taylor & Francis: Taylor & Francis London
[25] Ambjørn, J.; Boulatov, D.; Kazatov, V. A., Mod. Phys. Lett., A5, 771 (1990) · Zbl 1020.81754
[26] Ambjørn, J.; Durhuus, B.; Fröhlich, J., Nucl. Phys., B275, 161 (1986)
[27] Sykes, M. F.; Essam, J. W., J. Math. Phys., 5, 1117 (1964)
[28] van der Berg, J., J. Math. Phys., 22, 152 (1981)
[29] Boulatov, D.; Kazatov, V.; Kostov, I.; Migdal, A. A., Phys. Lett., B157, 295 (1985)
[30] Swendsen, R. H.; Wang, J.-S., Phys. Rev. Lett., 58, 86 (1987)
[31] Burda, Z.; Jurkiewicz, J., Acta Phys. Pol., B20, 949 (1989)
[32] Jurkiewicz, J.; Krzywicki, A.; Petersson, B.; Söderberg, B., Phys. Lett., B213, 511 (1988)
[33] Hoshen, J.; Kopelman, R., Phys. Rev., B14, 3428 (1976)
[34] Ferrenberg, A. M.; Swendsen, R. H., Erratum, 63, 1658 (1989)
[35] Sokal, A., Monte Carlo methods in statistical mechanics: foundations and algorithms (June 1989), NYU preprint based on lectures at the Troisième Cycle de la Physique en Suisse Romande
[36] Kirkpatrick, S., (Balian, R.; Maynard, R.; Toulouse, G., Ill-condensed matter, Proc. Les Houches, Vol. 31 (1983), North-Holland: North-Holland Amsterdam), 372
[37] Rosso, M.; Gouyet, J. F.; Sapoval, B., Phys. Rev., B32, 6053 (1985)
[38] Djordjevic, Z.; Stanley, H. E.; Margolina, A., J. Phys., A15, L405 (1982)
[39] Binder, K., Z. Phys., B43, 119 (1981)
[40] Kawai, H.; Ninomiya, M., Nucl. Phys., B336, 115 (1990)
[41] Bowick, M.; Falcioni, M.; Harris, G.; Marinari, E., Phys. Lett., B322, 316 (1994)
[42] Filk, T.; Marcu, M.; Scheffold, B., (Proc. Lattice 92 (1993), North-Holland: North-Holland Amsterdam), 783
[43] Kazakov, V. A.; Migdal, A. A., Nucl. Phys., B311, 171 (1988) · Zbl 1232.81045
[44] Pasquier, V., J. Phys., A20, 5707 (1987)
[45] Boulatov, D.; Kazakov, V.; Kostov, I.; Migdal, A. A., Nucl. Phys., B275, 641 (1986) · Zbl 0968.81540
[46] Jurkiewicz, J.; Krzywicki, A.; Petersson, B., Phys. Lett., B168, 273 (1986)
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