Geodesic
Vilkovisky effective action in quantum gravity with matter
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 66-74 
S. D. Odyntsov. Vilkovisky effective action in quantum gravity with matter. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 66-74. http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a7/
@article{TMF_1990_82_1_a7,
     author = {S. D. Odyntsov},
     title = {Vilkovisky effective action in~quantum gravity with matter},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {66--74},
     year = {1990},
     volume = {82},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a7/}
}
TY  - JOUR
AU  - S. D. Odyntsov
TI  - Vilkovisky effective action in quantum gravity with matter
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 66
EP  - 74
VL  - 82
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a7/
LA  - ru
ID  - TMF_1990_82_1_a7
ER  - 
%0 Journal Article
%A S. D. Odyntsov
%T Vilkovisky effective action in quantum gravity with matter
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 66-74
%V 82
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a7/
%G ru
%F TMF_1990_82_1_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

The single-loop Vilkovisky effective action in Einstein quantum gravity with matter in de Sitter space and in $R^2$ gravity with matter in flat space is obtained. It is shown that in de Sitter space the obtained effective action contains an imaginary part, indicating, in general, the presence of vacuum instability.

[1] Fradkin E. S., Tr. FIAN SSSR, 29, 1965, 7 | Zbl

[2] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR

[3] Tyutin I. V., YaF, 35:1 (1982), 222–228 | MR

[4] Kallosh R. E., Tyutin I. V., YaF, 17:1 (1973), 183–202 | MR

[5] Vilkovisky G. A., Nucl. Phys., B234 (1984), 125–137 | DOI | MR

[6] De Witt B. S., “The Effective Action”, Quantum Field Theory and Quantum Statistics, Essays in Honour of the Sixtieth Birthday of E. S. Fradkin, eds. I. A. Batalin, C. J. Isham, G. A. Vilkovisky, A. Hilger, Bristol, 1987 | MR

[7] Barvinsky A. O., Vilkovisky G. A., Phys. Repts., 119:1 (1985), 1–74 | DOI | MR

[8] Fradkin E. S., Tseytlin A. A., Nucl. Phys., B234 (1984), 509–523 | DOI

[9] Avramidy I. G., Barvinsky A. O., Phys. Lett., B159:4, 5, 6 (1985), 269–274 | DOI

[10] Rebhan A., Nucl. Phys., B288 (1987), 832–857 ; B298, 726–740 | DOI

[11] Bukhbinder I. L., Odintsov S. D., YaF, 47:2 (1988), 598–601 | MR

[12] Lavrov P. M., Odintsov S. D., Tyutin I. V., YaF, 46:5(11) (1987), 1583–1591 ; Mod. Phys. Lett., A3:13 (1988), 1273–1276 | MR | DOI

[13] Bukhbinder I. L., Dergalev V. P., Odintsov S. D., TMF, 80:1 (1989), 150–159 ; Одинцов С. Д., ЯФ, 47:6(12) (1987), 1803–1806 | MR | MR

[14] Huggins S. R. et al., Phys. Rev. Lett., 58:4 (1987), 296–298 | DOI

[15] Burgess C. P., Kunstatter G., Mod. Phys. Lett., A2:11 (1987), 875–886 | DOI

[16] Buchbinder I. L., Odintsov S. D., Int. J. Mod. Phys., A3:8 (1988), 1859 | DOI | MR

[17] Frolov V. P.,.Vilkovisky G. A., Phys. Lett., 106B (1981), 307–312 | DOI | MR

[18] Arefeva I. Ya., Volovich I. V., UFN, 145:4 (1985), 655–681 ; ТМФ, 64:2 (1985), 329–336 ; Волков Д. В., Ткач В. И., Письма в ЖЭТФ, 32:11 (1980), 681–684; ТМФ, 51:2 (1982), 171–177 ; Rubakov V. A., Shaposhnikov M. E., Phys. Lett., 125B:2–3 (1983), 139–143 ; Арефьева И. Я., Волович И. В., Драгович Б. Г., ТМФ, 70:3 (1987), 422–431 | DOI | MR | MR | Zbl | MR | Zbl | DOI | MR

[19] Fradkin E. S., Tseytlin A. A., Nucl. Phys., B234 (1984), 472–508 | DOI

[20] Shore G. M., Ann. Phys., 128:2 (1980), 376–424 ; Allen B., Nucl. Phys., B226 (1983), 228–252 | DOI | MR | DOI

[21] Linde A. D., Phys. Lett., 114B:6 (1982), 431–435 ; Vilenkin A., Ford L. H., Phys. Rev., D26:6 (1982), 1231–1241 ; Starobinsky A. A., Phys. Lett., 117B:3–4 (1982), 175–178 ; Hawking S. W., Moss I. G., Nucl. Phys., 224B (1983), 180–192 | DOI | MR | MR | DOI | DOI | MR

[22] Allen B., Ann. Phys., 161:1 (1985), 152–177 | DOI | MR

[23] Odintsov S. D., Phys. Lett., B213:1 (1988), 7–10 | DOI | MR

[24] Hawking S. W., Commun. Math. Phys., 55:1 (1977), 133–148 ; Dowker J. S., Critchley R., Phys. Rev. D, 13:12 (1976), 3224–3232 | DOI | MR | Zbl | DOI | MR

[25] Stelle K. S., Phys. Rev. D, 16:4 (1977), 953–972 ; Fradkin E. S., Tseytlin A. A., Nucl. Phys., 201B (1982), 460–491 ; Воронов Б. Л., Тютин И. В., ЯФ, 39:4 (1984), 998–1010 | DOI | MR | MR | MR

[26] Antoniadis I., Tomboulis E. T., Phys. Rev. D, 33:10 (1986), 2756–2779 | DOI

[27] Coleman S., Weinberg E., Phys. Rev. D, 7:6 (1973), 1888–1909 | DOI

[28] Buchbinder I. L., Odintsov S. D., Class. Quant. Grav., 2 (1985), 721–731 | DOI | MR