@article{TMF_1999_121_3_a3,
author = {K. A. Kazakov and P. I. Pronin},
title = {Renormalization equations in gravitational theory with higher derivatives},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {387--411},
year = {1999},
volume = {121},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a3/}
}
TY - JOUR AU - K. A. Kazakov AU - P. I. Pronin TI - Renormalization equations in gravitational theory with higher derivatives JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1999 SP - 387 EP - 411 VL - 121 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a3/ LA - ru ID - TMF_1999_121_3_a3 ER -
K. A. Kazakov; P. I. Pronin. Renormalization equations in gravitational theory with higher derivatives. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 387-411. http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a3/
[1] C. Becchi, A. Rouet, R. Stora, Ann. Phys., 98 (1976), 287 ; Commun. Math. Phys., 42 (1975), 127 | DOI | MR | DOI | MR
[2] I. V. Tyutin, Kalibrovochnaya invariantnost v teorii polya i statisticheskoi fizike v operatornoi formulirovke, Preprint FIAN No 39, 1975
[3] H. Kluberg-Stern, J. B. Zuber, Phys. Rev. D, 12 (1975), 467 | DOI
[4] H. Kluberg-Stern, J. B. Zuber, Phys. Rev. D, 12 (1975), 3159 | DOI
[5] N. K. Nielsen, Nucl. Phys. B, 101 (1975), 173 | DOI
[6] I. Antoniadis, J. Iliopoulos, T. N. Tomaras, Nucl. Phys. B, 267 (1986), 497 | DOI | MR
[7] I. Antoniadis, E. T. Tomboulis, Phys. Rev. D, 33:10 (1986), 2756 | DOI
[8] D. Johnston, Nucl. Phys. B, 293 (1987), 229 | DOI
[9] D. Johnston, Nucl. Phys. B, 297 (1988), 721 | DOI
[10] C. M. Fraser, I. J. R. Aitchison, Ann. Phys. (N. Y.), 156 (1984), 1 | DOI | MR | Zbl
[11] O. Piguet, K. Sibold, Nucl. Phys. B, 253 (1985), 517 | DOI | MR
[12] K. S. Stelle, Phys. Rev. D, 16:4 (1977), 953 | DOI | MR
[13] S. Weinberg, “Ultraviolet divergences in quantum theories of gravitation”, General Relativity, eds. S. W. Hawking, W. Israel, Cambridge Univ. Press, Cambridge, 1979, 790 | MR
[14] J. Zinn-Justin, “Renormalization of gauge theories”, Trends in Elementary Particle Physics, eds. H. Rollnik, K. Dietz, Springer-Verlag, Berlin, 1975, 2
[15] I. A. Batalin, G. A. Vilkovisky, Phys. Lett. B, 102 (1981), 27 | DOI | MR
[16] J. A. Dixon, J. C. Taylor, Renormalization of Wilson operators, 2, Preprint TP-74-74, Oxford Univ., Oxford, 1975 | MR
[17] S. Joglekar, B. Lee, Ann. Phys., 97:1 (1976), 160 | DOI | MR
[18] I. V. Tyutin, B. L. Voronov, YaF, 39:4 (1984), 998 | MR
[19] K. A. Kazakov, P. I. Pronin, Phys. Rev. D, 59:6 (1999), 064012 | DOI | MR
[20] B. S. DeWitt, Phys. Rev., 162 (1967), 1195 | DOI | Zbl
[21] G. 't Hooft, Nucl. Phys. B, 62 (1973), 444 | DOI
[22] G. 't Hooft, M. Veltman, Ann. Inst. H. Poincare, 20 (1974), 69
[23] I. G. Avramidy, A. O. Barvinsky, Phys. Lett. B, 159 (1985), 269 | DOI
[24] D. I. Kazakov, TMF, 75:1 (1988), 157 | MR
[25] K. A. Kazakov, P. I. Pronin, K. V. Stepanyantz, Gravit. Cosmology, 1998, no. 1, 17
[26] K. A. Kazakov, M. Yu. Kalmykov, P. I. Pronin, “Parametrizatsionnaya i kalibrovochnaya zavisimost $\beta$-funktsii v teoriyakh gravitatsii”, Trudy pervoi otkrytoi konferentsii molodykh uchenykh i spetsialistov, OIYaI, Dubna, 1997, 65
[27] M. Yu. Kalmykov, K. A. Kazakov, P. I. Pronin, K. V. Stepanyantz, Class. Q Grav., 15 (1998), 3777 | DOI | MR | Zbl
[28] P. I. Pronin, K. V. Stepanyantz, Nucl. Phys. B, 485 (1997), 517 | DOI