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Geometry, topology, and vacuum energy
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 12-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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Quantum corrections are investigated in multidimensional models for which the internal manifold is a squashed three-dimensional sphere or $S^3/Z_p$. It is shown that the divergences which arise in the “summation over topologies” disappear when quantum matter is taken into account. 
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D. V. Vassilevich; N. N. Shtykov. Geometry, topology, and vacuum energy. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 12-20. http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a1/

[1] Candelas P., Weinberg S., Nucl. Phys. B, 237:2 (1984), 397 ; Blau S., Visser M., Nucl. Phys. B, 310:1 (1989), 163 | DOI | MR | DOI | MR

[2] Vasilevich D. V., Shtykov N. N., YaF, 50:3 (1989), 556 | MR

[3] Hosotani Y., Phys. Lett. B, 126:1 (1983), 309 ; 129:1, 193 | DOI | MR

[4] Evans M., Ovrut B., Phys. Lett. B, 174:1 (1986), 63 | DOI | MR

[5] Salam A., Strathdee J., Ann. Phys., 141:2 (1982), 316 | DOI | MR

[6] Castellani L., Romans L., Warner N., Ann. Phys., 157:2 (1984), 394 ; Василевич Д. В., Ляховский В. Д., Штыков Н. Н., ТМФ, 77:1 (1988), 88–96 | DOI | MR | MR

[7] Shen T., Hu B., O'Connor D., Phys. Rev. D, 31:10 (1985), 2401 | DOI | MR

[8] Volf D., Prostranstva postoyannoi krivizny, Nauka, M., 1982 | MR

[9] Banach B., Dowker J., J. Phys. A, 12:10 (1979), 2527 | DOI | MR

[10] De Vitt B. S., Dinamicheskaya teoriya grupp i polei, Nauka, M., 1987 | MR

[11] Vasilevich D. V., Lyakhovskii V. D., Shtykov N. N., TMF, 83:1 (1990), 3–13 | MR

[12] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971 | MR

[13] Shvarts A. S., Kvantovaya teoriya polya i topologiya, Nauka, M., 1989 | MR | Zbl

[14] Lavrelashvili G. V., Rudakov V. A., Tinyakov P. G., Pisma v ZhETF, 46:4 (1987), 134

[15] Hawking S. W., Phys. Lett. B, 134:6 (1984), 403 | DOI | MR

[16] Volovich I. V., Phys. Lett. B, 219:1 (1989), 66 | DOI | MR

[17] Bandjbar-Daemi S., Salam A., Strathdee J., Preprint IGTP IC/84/15, Trieste, 1984